91Ó°ÊÓ

Simplify the expression$\frac{\frac{5x^2−5x−30}{45−15x}}{\frac{6+x−x^2}{4x−12}}$

Under what conditions is the expression$\frac{2d\left(d+1\right)}{\left(d+1\right)\left(d^2−4\right)}$undefined.

Under what conditions is the expression$\frac{a^2+ab+b^2}{a^2−b^2}$undefined.

At the end of the 2000-2001 season, David Robinson had made 6827 field goals out of 13,129 attempts during his NBA career.

Write a fraction to represent the ratio of the number of career field goals made to career field goals attempted by David Robinson at the end of the 2000-2001 season.

Suppose David Robinson attempted a field goals and made m field goals during the 2001-2002 season. Write a rational expression to represent the number of career field goals made to the number of career field goals attempted at the end of the 2001-2002 season.

A parallelogram with an area of $6x^2-7x-5$ square units has a base of $3x-5$ units. Determine the height of the parallelogram.

Parallelogram L has an area of $3x^2+10x+3$ square meters and a height of $3x+1$ meters. Parallelogram M has an area of $2x^2-13x+20$ square meters and a

height of $x-4$ meters. Find the area of the rectangle N.

Simplify the expression$\frac{{\left(a^2−5a+6\right)}^{−1}}{{\left(a−2\right)}^{−2}}÷\frac{{\left(a−3\right)}^{−1}}{{\left(a−2\right)}^{−2}}$

Writing inMATH Answer the question that was posed at the beginning of the lesson.

How are rational expressions used in mixtures?

Include the following in your answer:

• an explanation of how to determine whether the rational expression

representing the nut mixture is in simplest form, and

• an example of a mixture problem that could be represented by $\frac{8+x}{13+x+y}$

Find the LCM of set of polynomials $16a{b}^3,5b^2{a}^2,20ac$.