A basketball is thrown and its path is given by the equation: y=-x + 2x+7 where x is the distance, in 8 feet, the ball is from the thrower (along the ground) and y is the height, in feet, of the ball above the ground. Clearly show the answer to each of the following questions: What is the maximum height of the ball? How far does the ball go before it bounces? If instead of bouncing, the ball went into a basket that's 10 feet off the ground, where was the shooter standing? The y-intercept is (0,7): write a sentence explaining the meaning of this answer in the context of this word problem and why it is reasonable in this context. (Topics: Solve a word problem, organize work and solutions, solve quadratic equation, find maximum, explain meanings in context) 4. F. Solve each of the following equations giving exact answers (no decimal approximations). ALSO: for each problem, check your solution is correct and clearly show your check. (Topics: solving power equations, solving exponential equations, checking a solution to an equation, showing work in an organized manner) (b) 7.2x + 20 = 21 3 (a) (16) = 64