91Ó°ÊÓ

Two planes fly in opposite directions. One travels 450 \(\mathrm{mi} / \mathrm{h}\) and the other \(550 \mathrm{mi} / \mathrm{h}\). How long will it take before they are \(4,000 \mathrm{mi}\) apart?

For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. $$ |x-2|+4 \geq 10 $$

For the following exercises, solve the following polynomial equations by grouping and factoring. $$ 5 x^{3}+45 x=2 x^{2}+18 $$

Solve each rational equation for x. State all x-values that are excluded from the solution set. \(\frac{3 x}{x-1}+2=\frac{3}{x-1}\)

Solve the inequality involving absolute value. Write your final answer in interval notation. $$ |x-2|+4 \geq 10 $$

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ (-4+4 i)-(-6+9 i) $$

Solve the quadratic equation by using the square root property. $$ x^{2}=36 $$

For the following exercises, solve each rational equation for \(x\). State all \(x\) -values that are excluded from the solution set. $$ \frac{3 x}{x-1}+2=\frac{3}{x-1} $$

For each of the following exercises, find the distance between the two points. Simplify your answers, and write the exact answer in simplest radical form for irrational answers. $$(5,0)\text { and }(5,6)$$

Ben starts walking along a path at \(4 \mathrm{mi} / \mathrm{h} .\) One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at \(6 \mathrm{mi} / \mathrm{h}\). How long will it be before Amanda catches up to Ben?