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PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!

The height of a tennis ball
tossed into the air is modeled by h(x) = 40x -16x^2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground?

I’m pretty sure it’s D but I need an explanation why!!!

PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!! The height of a tennis ball tossed into-example-1
User Malte
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h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\

Using the quadratic formula we get


x_1 = 0.5\\x_2 = 2.04

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

User JacobWuzHere
by
8.5k points
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