91Ó°ÊÓ

For the following exercises, use this scenario: A truck rental agency offers two kinds of plans. Plan A charges $$\$ 75 / w$$ k plus $$\$.10 / \mathrm{mi}$$ driven. Plan \(\mathrm{B}\) charges $$\$ 100 / \mathrm{wk}$$ plus $$\$ .05 / \mathrm{mi}$$ driven. Write the model equation for the cost of renting a truck with plan B.

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ (-1+2 i)(-2+3 i) $$

For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. $$(0,7) \text { and }(4,-9)$$

For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. $$ \sqrt{12-x}=x $$

For the following exercises, describe all the \(x\) -values within or including a distance of the given values. Distance of 3 units from the number 9

For the following exercises, solve the quadratic equation by completing the square. Show each step. $$ x^{2}-9 x-22=0 $$

For the following exercises, find the equation of the line using the point- slope formula. Write all the final equations using the slope-intercept form. \(y\) -intercept is \(2,\) and (4,-1)

For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. $$(-43,17) \text { and }(23,-34)$$

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ (4-2 i)(4+2 i) $$

For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. $$ \sqrt{2 x+3}-\sqrt{x+2}=2 $$