Answer of the following Questions

College Algebra Rational Expressions

Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

Simplify each rational expression.

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1. The sales (in thousands) for a tire company is represented by the following polynomial, where m stands for the number of months.

1500m2

m2+5

a. Find the sales after the first month.

b. Find the sales after three months.

c. Find the sales after the first year.

2. Find the perimeter of the rectangle.

3. Find the area of the rectangle.

4. Find the area of the triangle.

5. Using the Pythagorean Theorem (), find the value of the hypotenuse.

6. Jennifer started a new job that is paid on commission. After 15 weeks, she earned $12,975. If her pay continues at the same rate, how much will she make after 1 year (52 weeks)?

If she receives a 2% raise in year two and sales remain constant, what is her total income in year 2?

What is the difference between a rational expression and equation? How do you find the least common denominator in rational problems? Use examples as needed to illustrate the steps.

Create your own rational expression and one rational equation then simplify/solve.

5x - 6

2x-4

12x+16

2x-4

2x-2

x+3

3x+2

x-1

5x+3

2x-3

x+4 x+7

c

x+8

6

2x-2

5