Mathematics
22.03.2023 06:15
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PLEASE HELP THIS IS DUE TODAY AND IM FAILING!! The graph on the coordinate plane

PLEASE HELP THIS IS DUE TODAY AND IM FAILING!! The graph on the coordinate plane below represents a periodic function.
A. What is the period of the function and is the function odd or even? Explain your answer.​
PLEASE HELP THIS IS DUE TODAY AND IM FAILING!!

The graph on the coordinate plane below represents
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terrasami2330
terrasami2330
4,6(77 marks)

The ball travel horizontally 37 feet before it hits the ground

Step-by-step explanation:

we have

A(x)=-0.02x^2+0.6x+5

where

x ----> is the horizontal distance in feet

A --->  is the altitude of the ball, in feet.

we know that

When the ball hit the ground, the altitude of the ball is equal to zero

so

For A(x)=0

-0.02x^2+0.6x+5=0

solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.02x^2+0.6x+5=0

so

a=-0.02\\b=0.6\\c=5

substitute in the formula

x=\frac{-0.6\pm\sqrt{0.6^{2}-4(-0.02)(5)}} {2(-0.02)}

x=\frac{-0.6\pm\sqrt{0.76}} {-0.04}

x=\frac{-0.6\pm0.87} {-0.04}

x=\frac{-0.6+0.87} {-0.04}=-6.75

x=\frac{-0.6-0.87} {-0.04}=36.75

therefore

The ball travel horizontally 37 feet before it hits the ground

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