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Alexus [3.1K]
2 years ago
9

Harvey walks 45 feet in 8.5 seconds. What is Harvey's rate in feet per second?

Mathematics
1 answer:
lilavasa [31]2 years ago
6 0

The answer is : 5.29411764706

The answer when rounded:  5.29 or 5.3

I found the answer by simply dividing 45/8.5 - Remember that per means division!

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Answer:

t= 6\ s

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is h(t) = -16t ^ 2 + 80t + 96.

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be h(t) = 0.

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

-16t ^ 2 + 80t + 96 = 0

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

at^2 +bt +c

The quadratic formula is:

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In this case

a =-16\\b = 80\\c =96

Then

t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}

t_1=-1\\\\t_2=6

We take the positive solution

t= 6\ s

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