91Ó°ÊÓ

The line graph shows the cost of inflation. What cost \(\$ 10,000\) in 1984 would cost the amount shown by the graph in subsequent years. (Graph can't copy) Here are two mathematical models for the data shown by the graph. In each formula, C represents the cost x years after 1990 of what cost \(\$ 10,000\) in 1984 $$ \begin{aligned} &\text Model \quad 1\quad C=442 x+12,969\\\ &\text Model \quad 2\quad C=2 x^{2}+390 x+13,126 \end{aligned} $$ Use these models to solve Use model 1 to determine in which year the cost will be \(\$ 25,345\) for what cost \(\$ 10,000\) in 1984

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. \(y=8-|5 x+3|\) and \(y\) is at least 6

Solve for \(A: r=\sqrt{\frac{A}{4 \pi}}\)

Solve equation by the method of your choice. $$ 5 x^{2}=2 x-3 $$

Solve equation by the method of your choice. $$ 2 x^{2}-7 x=0 $$

In Exercises \(103-104,\) use the graph of \(y=|4-x|\) to solve each inequality. $$ |4-x|<5 $$

List all numbers that must be excluded from the domain of each expression. $$\frac{|x-1|-3}{|x+2|-14}$$

List all numbers that must be excluded from the domain of each expression. $$\frac{x^{3}-2 x^{2}-9 x+18}{x^{3}+3 x^{2}-x-3}$$

In Exercises \(103-104,\) use the graph of \(y=|4-x|\) to solve each inequality. $$ |4-x| \geq 5 $$

Solve equation by the method of your choice. $$ 2 x^{2}+5 x=3 $$