91Ó°ÊÓ

Solve equation by the method of your choice. $$ x^{2}-6 x+13=0 $$

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. $$ y=|3 x-4|+2 \text { and } y<8 $$

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(s).

Solve equation by the method of your choice. $$ x^{2}-4 x+29=0 $$

If a number is decreased by \(3,\) the principal square root of this difference is 5 less than the number. Find the number(s).

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. $$ y=|2 x-5|+1 \text { and } y>9 $$

Solve equation by the method of your choice. $$ x^{2}=4 x-7 $$

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 \(\$ 26,229\) for what cost \(\$ 10,000\) in 1984

Solve for \(V: r=\sqrt{\frac{3 V}{\pi h}}\)

In Exercises 95–102, 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