91影视

Will help you prepare for the material covered in the next section. Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\text { Simplify: } \frac{(y+2) y-2 \cdot 4}{4 y(y+4)}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{3 x+7}{3 x+10}=\frac{8}{11}$$

Write a rational expression that cannot be simplified.

Write a rational expression that is undefined for \(x=-4\)

The formulas in Exercises \(93-96\) relate the dosage of a drug prescribed for children to the child's age. Describe another factor that might be used when determining a child's dosage. Is this factor more or less important than age? Explain why.

Write a rational expression with \(x^{2}-x-6\) in the numerator that can be simplified to \(x-3\)

Use the \([\text { GRAPH }]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the rational expression has been correctly simplified. If the simplification is wrong, correct it and then verify your answer using the graphing utility. $$\frac{3 x+15}{x+5}=3, \quad x \neq-5$$

Determine whether each statement 鈥渕akes sense鈥� or 鈥渄oes not make sense鈥� and explain your reasoning. The reason I can rewrite rational expressions with a common denominator is that 1 is the multiplicative identity.

Use the \([\text { GRAPH }]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the rational expression has been correctly simplified. If the simplification is wrong, correct it and then verify your answer using the graphing utility. $$\frac{2 x^{2}-x-1}{x-1}=2 x^{2}-1, x \neq 1$$

Determine whether each statement 鈥渕akes sense鈥� or 鈥渄oes not make sense鈥� and explain your reasoning. The fastest way for me to find \(\frac{4}{x-5}+\frac{9}{5-x}\) is by using \((x-5)(5-x)\) as the \(\mathrm{LCD}\)