91Ó°ÊÓ

Solve each equation. If 5 times a number is decreased by \(4,\) the principal square root of this difference is 2 less than the number. Find the number \((\mathrm{s})\)

Use interval notation to represent all values of \(x\) satisfying the given conditions. \(y=|3 x-4|+2\) and \(y<8\).

Solve each equation in Exercises \(83-108\) by the method of your choice. $$ x^{2}-4 x+29=0 $$

Solve each equation. $$ \text { Solve for } V: r=\sqrt{\frac{3 V}{\pi h}} $$

Use interval notation to represent all values of \(x\) satisfying the given conditions. \(y=|2 x-5|+1\) and \(y>9\).

Here are two mathematical models for the data shown by the graph. In each formula, C represents the cost \(x\) years after 1980 of what cost \(\$ 10,000\) in 1967 $$\begin{aligned}&\text { Model } 1 \quad C=1388 x+24,963\\\&\text { Model 2 } \quad C=3 x^{2}+1308 x+25,268\end{aligned}$$ Use these models to solve. Use model 1 to determine in which year the cost will be \(\$ 77,707\) for what \(\operatorname{cost} \$ 10,000\) in 1967

Use interval notation to represent all values of \(x\) satisfying the given conditions. \(y=7-\left|\frac{x}{2}+2\right|\) and \(y\) is at most 4.

Solve each equation. $$ \text { Solve for } V: r=\sqrt{\frac{3 V}{\pi h}} $$

Solve each equation in Exercises \(83-108\) by the method of your choice. $$ x^{2}=4 x-7 $$

Solve each equation. $$ \text { Solve for } A: r=\sqrt{\frac{A}{4 \pi}} $$