91Ó°ÊÓ

For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. $$ \sqrt{3 t+5}=7 $$

For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. $$ \left|\frac{x-3}{4}\right|<2 $$

Solve the inequality involving absolute value. Write your final answer in interval notation. $$ \left|\frac{x-3}{4}\right|<2 $$

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. $$ (1,2) \text { with a slope of }-\frac{4}{5} $$

For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. $$(-1,1)\text { and }(7,-4)$$

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

Solve the quadratic equation by using the square root property. $$ (x-5)^{2}=4 $$

For the following exercises, describe all the \(x\) -values within or including a distance of the given values. Distance of 5 units from the number 7

Find the equation of the line using the point-slope formula. Write all the final equations using the slope-intercept form. \(x\) -intercept is \(1,\) and \((-2,6)\)

For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. $$ \sqrt{t+1}+9=7 $$