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.
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