String Bean

Mathematics

16 May, 05:28

Question

A gymnast, who can stretch her arms up to reach 6 feet, jumps straight up on a trampoline. The height of

her feet above the trampoline can be modeled by the equation h = -16x2 + 12x, where x is the time in

seconds after her jump.

Do the gymnast's hands reach a height of 11 feet above the trampoline? Use the discriminant to explain.

(Hint: Since h = height of feet, you must use the difference between the heights of the hands and feet.)

The value of the discriminant is

The discriminant is a (select) number. So, there

(select) real solutions for this height. The gymnast hands (select) reach a height of 11 feet.