Project #67128 - Math 012

                                                                                                        (3+2+10=15 points)

1)  Given the points (-3, -2) and (-1, 4):

 

a)  Write an equation in point-slope form of the line L1 through the points.

 

 

 

 

 

 

 

 

b)  Convert the equation of L1 to slope-intercept form.

 

 

 

 

 

(c)  Determine the slope-intercept equation of a line L2 which is perpendicular to L1 and passes through the point (-1, -2).

 

 

 

 

 

 

 

 

 

 

 

2)                                                                                                                (5 points)

a) Write an equation of a vertical line through the point (-5, -3).

 

 

 

 

b) Write an equation of a horizontal line through the point (6, -7).

 

 

 

 

3)                                                                                                                (10 points)

John wins $125,000 (after taxes) in the lottery and decides to invest it in a 10-year CD that pays 6.85% interest compounded quarterly (4 times/year). How much money (rounded to the nearest cent) will he have in his account at the end of the 10-year period?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4)                                                                                                                (5 points)

The numerator of a fraction is two less than its denominator. If both the numerator and denominator are increased by three, the resulting fraction is equal to . Find the fraction.

 

 

 

 

 

 

 

 

 

 

 

 

 

5)                                                                                                                (5 points)

The product of two consecutive positive integers is 156.  Find the two integers. Only an algebraic approach is acceptable and not "guess work" or trial and error approach.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6)                                                                                                                    (10 points)

Solve the inequality: −5 <  £  2 .

Write your answer in interval notation and graph the solution set on a number line.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7)                                                                                                                (10 points)

An experienced roofer can roof a house in 30 hours.  A beginner needs 45 hours to do the same job.  How long will it take if the two roofers work together?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8)                                                                                                               (10 points)

Which of the following is the graph of the function f(x) = -|x+1| - 1 ?  Circle the letter, down below, of the correct response.

Show that you have found at least three ordered pairs that lie on the graph.

 

 

 

 

A

 

 

 

 

 

B

 

 

 

 

C

 

 

 

 

D

 

         

 

x

-2

-1

0

1

y

 

 

 

 

 

 

 

 


 

9)                                                                                                                   (10 points)

Solve the equation:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10)                                                                                                                 (10 points)

The number of cars produced at a General Motors assembly plant’s assembly line varies jointly as the number of workers and the time they work. If 200 workers can produce 60 cars in 2 hours, find how many cars 240 workers should be able to make in 3 hours.

 

 

 

 

 

 


 

11)                                                                                                              (10 points)

Factorize all the terms, perform the indicated operations and simplify:

                                      ¸

 

 

Subject Mathematics
Due By (Pacific Time) 04/19/2015 10:00 am
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