Mathematics
(a) Find the maximum height attained by the ball.

### Question Description

I’m stuck on a Algebra question and need an explanation.

y = −

 32 (20)2
x2 + x + 3

(a) Find the maximum height attained by the ball. (Round your answer to three decimal places.)

ft

(b) Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)
ft

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y=-0.08X^2 + X +3....eq (1)

y is max if dy/dx=0  so -32(2)/400x + 1 = 0  then x= 6.25

y(6.25)=-0.08(6.25)^2 +6.25+3=6.125

a) 6.125

to find x:  do y=0  so  eq(1)  0=-0.08x^2 + x+ 3  then x=15

b)15

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