Project #35622 - 80 Multiple choice questions College Algebra

The word document is attached.  It did not copy and paste well onto the website however it shows in the word document.

 

  Question 1

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The graph of a function is given. Decide whether it is even, odd, or neither.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q11g1.jpg

       

Question 1 answers

 

even

 

odd

 

neither

       

 

Question 2 text   Question 2

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The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval.

(-5, -4)
http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q17g1.jpg

       

Question 2 answers

 

constant

 

decreasing

 

increasing

       

 

Question 3 text   Question 3

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Determine whether the relation represents a function. If it is a function, state the domain and range.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q91g1.jpghttp://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q91g2.jpg

       

Question 3 answers

 

function
domain: {Ms. Lee, Mr. Bar}
range: {Bob, Ann, Dave}

 

function
domain: {Bob, Ann, Dave}
range: {Ms. Lee, Mr. Bar}

 

not a function

       

 

Question 4 text   Question 4

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Determine algebraically whether the function is even, odd, or neither.

f(x) = -5x2 + 4

       

Question 4 answers

 

even

 

odd

 

neither

       

 

Question 5 text   Question 5

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For the given functions f and g, find the requested function and state its domain.

f(x) = 3x + 5; g(x) = 7x + 8
Find f ∙ g.

       

Question 5 answers

 

(f ∙ g)(x) = 10x2 + 59x + 13; all real numbers

 

(f ∙ g)(x) = 21x2 + 43x + 40; {x|x ≠ 40}

 

(f ∙ g)(x) = 21x2 + 40; {x|x ≠ 40}

 

(f ∙ g)(x) = 21x2 + 59x + 40; all real numbers

       

 

Question 6 text   Question 6

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Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g1.jpg

       

Question 6 answers

 

function
domain: {x|-1 ≤ x ≤ 1}
range: {y|-π ≤ y ≤ π}
intercepts: (-π, 0), (- http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g2.jpg, 0), (0, 0), (http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g3.jpg, 0), (π, 0) 
symmetry: none

 

function
domain: {x|-π ≤ x ≤ π}
range: {y|-1 ≤ y ≤ 1}
intercepts: (-π, 0), (- http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g4.jpg, 0), (0, 0), (http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g5.jpg, 0), (π, 0) 
symmetry: origin

 

function
domain: all real numbers
range: {y|-1 ≤ y ≤ 1}
intercepts: (-π, 0), (- http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g6.jpg, 0), (0, 0), (http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q10g7.jpg, 0), (π, 0) 
symmetry: origin

 

not a function

       

 

Question 7 text   Question 7

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Given: E=I/R and P=IE with the values: P=10 and E=100 What are the values for I and R?

       

Question 7 answers

 

R=.001, I=0.1

 

R=100, I=100

 

R=0.1, I=1000

 

Cannot be solved without the value of another variable.

       

 

Question 8 text   Question 8

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Determine algebraically whether the function is even, odd, or neither.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q8g1.jpg

       

Question 8 answers

 

even

 

odd

 

neither

       

 

Question 9 text   Question 9

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Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q78g1.jpg

       

Question 9 answers

 

function
domain: {x|x = 5 or x = -6}
range: all real numbers
intercept: (-6, 0)
symmetry: x-axis

 

function
domain: all real numbers
range: all real numbers
intercept: (0, -6)
symmetry: none

 

function
domain: all real numbers
range: {y|y = 5 or y = -6}
intercept: (0, -6)
symmetry: none

 

not a function

       

 

Question 10 text   Question 10

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Determine whether the equation is a function.

y = |x|

       

Question 10 answers

 

function

 

not a function

       

 

Question 11 text   Question 11

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Solve the problem.

The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30-year mortgage is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q20g1.jpg for every $1000 borrowed, find a linear function that relates the monthly payment p to the amount borrowed B for a mortgage with the same terms. Then find the monthly payment p when the amount borrowed is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q20g2.jpg

       

Question 11 answers

 

p = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q20g3.jpg; $0.02

 

p = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q20g4.jpg; $885.84

 

p = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q20g5.jpg; $6466.67

 

p = 0.0073B; $1416.20

       

 

Question 12 text   Question 12

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Find the average rate of change for the function between the given values.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q67g1.jpg; from 1 to 4

       

Question 12 answers

 

-2

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q67g2.jpg

 

-28

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q67g3.jpg

       

 

Question 13 text   Question 13

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The graph of a function f is given. Use the graph to answer the question.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q117g1.jpg

Find the numbers, if any, at which f has a local minimum. What are the local maxima?

       

Question 13 answers

 

f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5

 

f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5

 

f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5

 

f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5

       

 

Question 14 text   Question 14

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List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q111g1.jpg

       

Question 14 answers

 

(-1, 0), (0, 0), (1, 0); symmetric to origin, x-axis, and y-axis

 

(-1, 0), (0, 0), (1, 0); symmetric to origin

 

(-1, 0), (0, 0), (1, 0); symmetric to y-axis

 

(-1, 0), (0, 0), (1, 0); symmetric to x-axis

       

 

Question 15 text   Question 15

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For the given functions f and g, find the requested function and state its domain.

f(x) = 2x + 1; g(x) = 5x - 2
Find http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g1.jpg.

       

Question 15 answers

 

(http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g2.jpg)(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g3.jpg; {x|x ≠ http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g4.jpg}

 

(http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g5.jpg)(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g6.jpg; {x|x ≠ - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g7.jpg}

 

(http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g8.jpg)(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g9.jpg; {x|x ≠ - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g10.jpg}

 

(http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g11.jpg)(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g12.jpg; {x|x ≠ http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q31g13.jpg}

       

 

Question 16 text   Question 16

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Solve the problem.

Identify the scatter diagram of the relation that appears linear.

       

Question 16 answers

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q123g1.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q123g2.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q123g3.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q123g4.jpg

       

 

Question 17 text   Question 17

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Find the average rate of change for the function between the given values.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q14g1.jpg; from 2 to 8

       

Question 17 answers

 

2

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q14g2.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q14g3.jpg

 

7

       

 

Question 18 text   Question 18

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Find the domain of the function.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q130g1.jpg

       

Question 18 answers

 

{x|x ≤ 11}

 

{x|x ≠ http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q130g2.jpg}

 

{x|x ≠ 11}

 

{x|x ≤ http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q130g3.jpg}

       

 

Question 19 text   Question 19

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Match the graph to the function listed whose graph most resembles the one given.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071616/f1q139g1.jpg

       

Question 19 answers

 

square function

 

cube function

 

square root function

 

cube root function

       

 

Question 20 text   Question 20

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Find the domain of the function.

f(x) = -6x - 9

       

Question 20 answers

 

{x|x > 0}

 

all real numbers

 

{x|x ≥ 9}

 

{x|x ≠ 0}

       

 

 

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*            Question 1

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Give the equation of the horizontal asymptote, if any, of the function.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q116g1.jpg

       

Question 1 answers

 

y = 2

 

y = 6

 

y = 1

 

no horizontal asymptotes

       

 

Question 2 text   Question 2

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For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.

f(x) = 5(x - 5)(x + 4)3

       

Question 2 answers

 

-5, multiplicity 1, touches x-axis; 4, multiplicity 3

 

5, multiplicity 1, touches x-axis; -4, multiplicity 3

 

5, multiplicity 1, crosses x-axis; -4, multiplicity 3, crosses x-axis

 

-5, multiplicity 1, crosses x-axis; 4, multiplicity 3, crosses x-axis

       

 

Question 3 text   Question 3

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Solve the problem.

A ball is thrown vertically upward with an initial velocity of 160 feet per second. The distance in feet of the ball from the ground after t seconds is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q29g1.jpg For what interval of time is the ball more than 256 above the ground?

       

Question 3 answers

 

{x http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/u8739.jpg 2 sec < x < 8 sec}

 

{x http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/u8739.jpg 7 sec < x < 13 sec}

 

{x http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/u8739.jpg 1.5 sec < x < 8.5 sec}

 

{x http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/u8739.jpg 4.5 sec < x < 5.5 sec}

       

 

Question 4 text   Question 4

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Use the Factor Theorem to determine whether x - c is a factor of f(x).

8x3 + 36x2 - 19x - 5; x + 5

       

Question 4 answers

 

Yes

 

No

       

 

Question 5 text   Question 5

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Find the indicated intercept(s) of the graph of the function.

x-intercepts of f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q38g1.jpg

       

Question 5 answers

 

(5, 0)

 

(2, 0)

 

(-2, 0), (2, 0)

 

(- 8, 0)

       

 

Question 6 text   Question 6

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Solve the inequality.

x2 + 6x ≥ 0

       

Question 6 answers

 

(-∞, -6] or [0, ∞)

 

(-∞, 0] or [6, ∞)

 

[0, 6]

 

[-6, 0]

       

 

Question 7 text   Question 7

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Solve.

The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q82g1.jpg when http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q82g2.jpg and http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q82g3.jpg What is the volume on this device when the temperature is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q82g4.jpg and the pressure is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q82g5.jpg

       

Question 7 answers

 

V = 168 in3

 

V = 188 in3

 

V = 148 in3

 

V = 12 in3

       

 

Question 8 text   Question 8

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Solve the inequality.

(x - 5)(x2 + x + 1) >

       

Question 8 answers

 

(-∞, -1) or (1, ∞)

 

(-1, 1)

 

(-∞, 5)

 

(5, ∞)

       

 

Question 9 text   Question 9

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Solve the problem.

When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 20 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 10 cubic inches.

       

Question 9 answers

 

14 pounds per square inch

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q146g1.jpg pounds per square inch

 

26 pounds per square inch

 

28 pounds per square inch

       

 

Question 10 text   Question 10

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Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q57g1.jpg

       

Question 10 answers

 

symmetry with respect to the y-axis

 

symmetry with respect to the origin

 

neither

       

 

Question 11 text   Question 11

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Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.

f(x) = -3x2 - 2x - 4

       

Question 11 answers

 

maximum; http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q94g1.jpg

 

maximum; - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q94g2.jpg

 

minimum; - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q94g3.jpg

 

minimum; http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q94g4.jpg

       

 

Question 12 text   Question 12

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Use the graph to find the vertical asymptotes, if any, of the function.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q5g1.jpg

       

Question 12 answers

 

x = -3, x = 3, x = 0

 

x = -3, x = 3, y = 0

 

none

 

x = -3, x = 3

       

 

Question 13 text   Question 13

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Solve.

The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q26g1.jpg of power when http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q26g2.jpg of current is flowing through the resistor whose resistance is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q26g3.jpg find the power that a resistor needs to dissipate when http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q26g4.jpg of current are flowing through a resistor whose resistance is http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q26g5.jpg

       

Question 13 answers

 

63 watts

 

147 watts

 

84 watts

 

21 watts

       

 

Question 14 text   Question 14

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Solve the inequality.

x4 - 32x2 - 144 > 0

       

Question 14 answers

 

(-∞, -6) or (6, ∞)

 

(-∞, -6) or (-2, 2) or (6, ∞)

 

(-6, 6)

 

(-6, -2) or (2, 6)

       

 

Question 15 text   Question 15

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Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.

f(x) = 3x3 + 5x + 5; [-1, 0]

       

Question 15 answers

 

f(-1) = 3 and f(0) = -5; yes

 

f(-1) = -3 and f(0) = 5; yes

 

f(-1) = 3 and f(0) = 5; no

 

f(-1) = -3 and f(0) = -5; no

       

 

Question 16 text   Question 16

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Solve the inequality.

x(x - 5) ≥ -6

       

Question 16 answers

 

[3, ∞)

 

[2, 3]

 

(-∞, 2] or [3, ∞)

 

(-∞, 2]

       

 

Question 17 text   Question 17

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Find the domain of the rational function.

f(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q45g1.jpg

       

Question 17 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q45g2.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q45g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q45g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071634/f1q45g5.jpg

       

 

Question 18 text   Question 18

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Use the Theorem for bounds on zeros to find a bound on the real zeros of the polynomial function.

f(x) = x4 + 2x2 - 3

       

Question 18 answers

 

-4 and 4

 

-3 and 3

 

-6 and 6

 

-5 and 5

       

 

Question 19 text   Question 19

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Find all zeros of the function and write the polynomial as a product of linear factors.

f(x) = 3x4 + 4x3 + 13x2 + 16x + 4

       

Question 19 answers

 

f(x) = (3x - 1)(x - 1)(x + 2)(x - 2)

 

f(x) = (3x + 1)(x + 1)(x + 2i)(x - 2i)

 

f(x) = (3x - 1)(x - 1)(x + 2i)(x - 2i)

 

f(x) = (3x + 1)(x + 1)(x + 2)(x - 2)

       

 

Question 20 text   Question 20

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Solve the problem.

The price p (in dollars) and the quantity x sold of a certain product obey the demand equation
p = -20x + 480, 0 ≤ x ≤ 24.
What price should the company charge to maximize revenue?

       

Question 20 answers

 

$6

 

$14.4

 

$18

 

$12

       

*        Part 3:

*          Question 1

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Decide whether or not the functions are inverses of each other.

f(x) = 5 - 9x; g(x) = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q25g1.jpg(x - 5)

       

Question 1 answers

 

Yes

 

No

       

 

Question 2 text   Question 2

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Find the present value. Round to the nearest cent.

To get $25,000 after 6 years at 13% compounded semiannually

       

Question 2 answers

 

$12,505.31

 

$13,257.93

 

$12,007.96

 

$11,742.07

       

 

Question 3 text   Question 3

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Find the exact value of the logarithmic expression.

loghttp://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q4g1.jpg

       

Question 3 answers

 

3

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q4g2.jpg

 

-3

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q4g3.jpg

       

 

Question 4 text   Question 4

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Solve the equation.

5x = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q128g1.jpg

       

Question 4 answers

 

{-3}

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q128g2.jpg

 

{3}

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q128g3.jpg

       

 

Question 5 text   Question 5

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Solve the exponential equation. Express the solution set in terms of natural logarithms.

5 3x = 3.5

       

Question 5 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q139g1.jpg>

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q139g2.jpg>

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q139g3.jpg>

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q139g4.jpg>

       

 

Question 6 text   Question 6

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Solve the problem.

During 1991, 200,000 people visited Rave Amusement Park. During 1997, the number had grown to 834,000. If the number of visitors to the park obeys the law of uninhibited growth, find the exponential growth function that models this data.

       

Question 6 answers

 

f(t) = 200,000e0.238t

 

f(t) = 634,000e0.238t

 

f(t) = 200,000e0.248t

 

f(t) = 634,000e0.248t

       

 

Question 7 text   Question 7

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The graph of an exponential function is given. Match the graph to one of the following functions.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q17g1.jpg>

       

Question 7 answers

 

f(x) = - 5x

 

f(x) = 5x

 

f(x) = 5 -x

 

f(x) = - 5 -x

       

 

Question 8 text   Question 8

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Solve the equation.

log6 (x2 - 5x) = 1

       

Question 8 answers

 

{6}

 

{1}

 

{6, -1}

 

{-6, 1}

       

 

Question 9 text   Question 9

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Solve the problem.

The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)

       

Question 9 answers

 

0.689

 

44.096

 

0.001

 

23.091

       

 

Question 10 text   Question 10

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The graph of a logarithmic function is shown. Select the function which matches the graph.


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q83g1.jpg

       

Question 10 answers

 

f(x) = -log4x

 

f(x) = log4x

 

f(x) = log4(-x)

 

f(x) = 1 - log4x

       

 

Question 11 text   Question 11

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Find the effective rate of interest.

50.11% compounded daily

       

Question 11 answers

 

50.233%

 

51.015%

 

50.315%

 

64.997%

       

 

Question 12 text   Question 12

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Solve the problem.

The function f(x) = 300(0.5) x/60 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q15g1.jpg> Round to the nearest whole number.

       

Question 12 answers

 

425 pounds

 

42 pounds

 

235 pounds

 

53 pounds

       

 

Question 13 text   Question 13

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Solve the problem.

pH = -log10[H+] Find the [H+] if the pH = 8.4.

       

Question 13 answers

 

3.98 x 10-8

 

2.51 x 10-8

 

3.98 x 10-9

 

2.51 x 10-9

       

 

Question 14 text   Question 14

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Solve the problem.

Conservationists tagged 90 black-nosed rabbits in a national forest in 1990. In 1993, they tagged 180 black-nosed rabbits in the same range. If the rabbit population follows the exponential law, how many rabbits will be in the range 4 years from 1990?

       

Question 14 answers

 

151

 

303

 

227

 

454

       

 

Question 15 text   Question 15

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Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.

ln x + ln (x + 7) = -5

       

Question 15 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q34g1.jpg≈ -7.001

 

-7 + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q34g2.jpg≈ 0.002

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q34g3.jpg≈ 0.001

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q34g4.jpg≈ 3.500

       

 

Question 16 text   Question 16

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Solve the problem.

The amount of a certain drug in the bloodstream is modeled by the function http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q150g1.jpg, where y0 is the amount of the drug injected (in milligrams) and t is the elapsed time (in hours). Suppose that 10 milligrams are injected at 10:00 A.M. If a second injection is to be administered when there is 1 milligram of the drug present in the bloodstream, approximately when should the next dose be given? Express your answer to the nearest quarter hour.

       

Question 16 answers

 

12:30 P.M

 

3:45 P.M

 

5:45 P.M

 

5: 30 P.M

       

 

Question 17 text   Question 17

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Solve the equation.

8 + 4 ln x = 5

       

Question 17 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q137g1.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q137g2.jpg

 

{e-3/4}

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q137g3.jpg

       

 

Question 18 text   Question 18

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The graph of an exponential function is given. Match the graph to one of the following functions.



http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q73g1.jpg

       

Question 18 answers

 

f(x) = 3x

 

f(x) = 3x + 2

 

f(x) = 3x - 2

 

f(x) = 3x - 2

       

 

Question 19 text   Question 19

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Solve the equation.

(ex)x∙ e48 = e14x

       

Question 19 answers

 

{8}

 

{6}

 

{8, 6}

 

{-8, -6}

       

 

Question 20 text   Question 20

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Solve the problem.

A thermometer reading http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q98g1.jpg is brought into a room with a constant temperature of http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q98g2.jpg If the thermometer reads http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071640/f1q98g3.jpg after 5 minutes, what will it read after being in the room for 8 minutes? Assume the cooling follows Newton's Law of Cooling:
U = T + (Uo - T)ekt.
(Round your answer to two decimal places.)

       

Question 20 answers

 

104.4°F

 

30.85°F

 

66.42°F

 

45.6°F

       

*        Part 4:

*          Question 1

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Use the properties of determinants to find the value of the second determinant, given the value of the first.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q96g1.jpg = 11 http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q96g2.jpg = ?

       

Question 1 answers

 

-11

 

-33

 

33

 

11

       

 

Question 2 text   Question 2

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Perform the indicated matrix operations.

Let A = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g1.jpg and B = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g2.jpg. Find 3A + 4B.

       

Question 2 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g5.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q141g6.jpg

       

 

Question 3 text   Question 3

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Write the partial fraction decomposition of the rational expression.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g1.jpg

       

Question 3 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g2.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g3.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g5.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g6.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g7.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g8.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g9.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g10.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g11.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g12.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q98g13.jpg

       

 

Question 4 text   Question 4

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Solve the problem.

Given that http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q6g1.jpg = 3, find the value of the determinant http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q6g2.jpg.

       

Question 4 answers

 

0

 

-9

 

6

 

9

       

 

Question 5 text   Question 5

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Solve the problem.

Jenny receives $1270 per year from three different investments totaling $20,000. One of the investments pays 6% , the second one pays 8%, and the third one pays 5%. If the money invested at 8% is $1500 less than the amount invested at 5%, how much money has Jenny invested in the investment that pays 6%?

       

Question 5 answers

 

$8500

 

$4500

 

$10,000

 

$1500

       

 

Question 6 text   Question 6

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Write a system of equations associated with the augmented matrix. Do not solve.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q85g1.jpg

       

Question 6 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q85g2.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q85g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q85g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q85g5.jpg

       

 

Question 7 text   Question 7

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Solve the system of equations.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q112g1.jpg

       

Question 7 answers

 

x = -4, y = 3, z = -2

 

x = -2, y = 3, z = -4

 

x = -2, y = -4, z = 3

 

inconsistent (no solution)

       

 

Question 8 text   Question 8

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Write a system of equations associated with the augmented matrix. Do not solve.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q93g1.jpg

       

Question 8 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q93g2.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q93g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q93g4.jpg

       

 

Question 9 text   Question 9

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Find the value of the determinant.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q87g1.jpg

       

Question 9 answers

 

33

 

22

 

-22

 

58

       

 

Question 10 text   Question 10

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Perform the matrix multiplication.

Given A = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g1.jpg and B = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g2.jpg, find AB.

       

Question 10 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g5.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q31g6.jpg

       

 

Question 11 text   Question 11

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Write the partial fraction decomposition of the rational expression.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g1.jpg

       

Question 11 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g2.jpg - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g4.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g5.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g6.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g7.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g8.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q28g9.jpg

       

 

Question 12 text   Question 12

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Graph the inequality.

x + y < -2
http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q111g1.jpg

       

Question 12 answers

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q111g2.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q111g3.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q111g4.jpg

 


http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q111g5.jpg

       

 

Question 13 text   Question 13

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Find the value of the determinant.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q4g1.jpg

       

Question 13 answers

 

-54

 

-30

 

0

 

30

       

 

Question 14 text   Question 14

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Write the partial fraction decomposition of the rational expression.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g1.jpg

       

Question 14 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g2.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g3.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g5.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g6.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g7.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g8.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g9.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g10.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g11.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g12.jpg + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q56g13.jpg

       

 

Question 15 text   Question 15

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Solve the problem.

A company has sales (measured in millions of dollars) of 50, 60, and 75 during the first three consecutive years. Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year. Assume that the quadratic function is of the form y = ax2 + bx + c

       

Question 15 answers

 

y = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q9g1.jpgx2 - http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q9g2.jpgx + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q9g3.jpg; sales during the fourth year = $151.25 million

 

y = -5x2 + 40x + 15; sales during the fourth year = $95 million

 

y = http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q9g4.jpgx2 + http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q9g5.jpgx + 45; sales during the fourth year = $95 million

 

y = 5x2 + 5x + 40; sales during the fourth year = $180 million

       

 

Question 16 text   Question 16

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Find the maximum or minimum value of the objective function, subject to the constraints graphed in this feasible region.
http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q139g1.jpg

z = x + 6y + 9 Find minimum.

       

Question 16 answers

 

Minimum 25

 

Minimum 31

 

No Minimum

 

Minimum 41

       

 

Question 17 text   Question 17

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Verify that the values of the variables listed are solutions of the system of equations.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q147g1.jpg
x = -4, y = 5, z = -2

       

Question 17 answers

 

solution

 

not a solution

       

 

Question 18 text   Question 18

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Solve the system using the inverse method.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q15g1.jpg

       

Question 18 answers

 

x = 5, y = -2, z = 2

 

x = -5, y = -2, z = -2

 

x = 5, y = 2, z = -2

 

x = 2, y = 5, z = 2

       

 

Question 19 text   Question 19

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Use Cramer's rule to solve the linear system.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q138g1.jpg

       

Question 19 answers

 

x = 2, y = 4

 

x = 4, y = 2

 

x = -2, y = 4

 

x = -4, y = -2

       

 

Question 20 text   Question 20

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Find the inverse of the matrix.

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q91g1.jpg

       

Question 20 answers

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q91g2.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q91g3.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q91g4.jpg

 

http://coursesite.umtweb.edu/courses/1/MATH105-2/ppg/chih0125071647/f1q91g5.jpg

       

 

*         

Subject Mathematics
Due By (Pacific Time) 07/17/2014 06:04 pm
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