Ashford 3: - Week 2 - Discussion 1 Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses. One-Variable Compound Inequalities In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality. Read the following instructions in order and view the example to complete this discussion. Please find the pair of compound inequalities assigned to you in the table below: If the first letter of your last name is Your â€œandâ€ compound inequality is Your â€œorâ€ compound inequality is R or U -11 â‰¤ -5 + 6x < 13- and statment 3x + 2 â‰¤ -1 or 11 â€“ x â‰¤ 4-or stamnert â€¢Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions. â€¢Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. This is demonstrated in the Instructor Guidance in the left navigation toolbar. â€¢Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): â—¦Compound inequalities â—¦And â—¦Or â—¦Intersection â—¦Union Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmatesâ€™ posts by Day 7. Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion. discussion 3 In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view the example to complete this discussion. Please find the rational exponent problems assigned to you in the table below: If the last letter of your first name is On pages 576 â€“ 577, do the following problems C or J 46. 8^1/2 2^1/2 and 104. (tv^1/3)^2 (t^2 v^-3)^-1/2 Simplify each expression using the rules of exponents and examine the steps you are taking. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.): Principal root Product rule Quotient rule Reciprocal nth root Refer to Inserting Math Symbols for guidance with formatting. Be aware with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have âˆš12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not. Therefore, we must specify whether we mean it to say âˆš(12) + 9 or âˆš(12 + 9), as there is a big difference between the two. This distinction is important in your notation. Another solution is to type the letters â€œsqrtâ€ in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either â€œsqrt(12) + 9â€ or â€œsqrt(12 + 9)â€ depending on what we needed it to say. Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmatesâ€™ posts by Day 7. discussion 4 In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the example to complete this discussion. Please find the problems assigned to you in the table below: If the third letter of your last name is On pages 635 and 636, solve the following problem by factoring Solve the following problem by using the Quadratic Formula N or Y 40. 3x^2 âˆ’ 6x = 24 50. X^2+10x-3= 0 â€¢For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation. â€¢For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting. â€¢Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required. â€¢Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): â—¦Quadratic formula â—¦Factoring â—¦Completing the square â—¦Discriminant Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmatesâ€™ posts by Day 7

Subject | Mathematics |

Due By (Pacific Time) | 10/08/2015 12:00 am |

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