How many solutions does this equation have -20-12x=-7x-30

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Ответ:

mmaglaya1

06.07.2020

Mathematics

h = 24.25 feet

Step-by-step explanation:

Xavier shoots a basketball in which the height, in feet, is modeled by the equation.

h(t) = -4t^2+10t +18 ....(1)

For maximum height,

Put dh/dt=0

So,

$\dfrac{dh}{dt}=\dfrac{d}{dt}(-4t^2+10t +18)\\\\=-8t+10$

So,

-8t = -10

t =1.25s

Put t = 1.25 s in equation (1)

$h(t) = -4(1.25)^2+10(1.25) +18\\\\=24.25\ feet$

So, the maximum height of the basketball is equal to 24.25 feet.

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How many solutions does this equation have -20-12x=-7x-30￼