The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret the x- and y-intercepts. I need to findthe x-intercept, and when will the apple hit the ground after x seconds.

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

Y-intercept:

Given Equation:

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

adding to both sides of the equation, we get

dividing both sides by 16, we get

taking√ on both sides of the equation, we get

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

thus x-intercept

and y-intercept

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

dividing both sides by 16, we get

taking√ on both sides of the equation, we get

the apple will hit the ground after x=1.5 seconds.

the correct answer is d

hope this

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step-by-step explanation:

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