91Ó°ÊÓ

Solve each equation in Exercises \(15-34\) by the square root property. $$ 3(x+4)^{2}=21 $$

In Exercises \(21-28,\) divide and express the result in standard form. $$ \frac{5 i}{2-i} $$

Contain linear equations with constants in denominators. Solve equation. \(\frac{x+3}{6}=\frac{3}{8}+\frac{x-5}{4}\)

A new car worth \(\$ 24,000\) is depreciating in value by \(\$ 3000\) per year. a. Write a formula that models the car's value, \(y,\) in dollars, after \(x\) years. b. Use the formula from part (a) to determine after how many years the car's value will be \(\$ 9000\). c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

In Exercises \(21-28,\) divide and express the result in standard form. $$ \frac{8 i}{4-3 i} $$

Solve each equation in Exercises \(15-34\) by the square root property. $$ (x+3)^{2}=-16 $$

Check all proposed solutions. $$ \sqrt{x-5}-\sqrt{x-8}=3 $$

Solve each equation in Exercises \(15-34\) by the square root property. $$ (x-1)^{2}=-9 $$

In Exercises \(21-28,\) divide and express the result in standard form. $$ \frac{-6 i}{3+2 i} $$

A new car worth \(\$ 45,000\) is depreciating in value by \(\$ 5000\) per year. a. Write a formula that models the car's value, \(y,\) in dollars, after \(x\) years. b. Use the formula from part (a) to determine after how many years the car's value will be \(\$ 10,000\). c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.