The owners of a circus are planning a new act. They want to have a trapeze artist catch another acrobat
in mid-air as the second performer comes into the main tent on a zip-line. If the path of the trapeze can
be modeled by the parabola y=-x? + 16 and the path of the zip-line can be modeled by y = 2x + 12, at
what point can the trapeze artist grab the second acrobat?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Given f(x)=2x^2-8x+6 and g(x)=3x-1 find f(x) +g(x) a. 2x^2+5x+5 b.2x^2-11x+7 c. 2x^2-5x+5 d.2x^2-5x-5

Multiply. write your answer in simplest form. 3/8 x 5/7