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A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.

The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.

The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.

These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.

Which choice shows how to combine h and d to build f

A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet-example-1

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Answer: f(t)=h(t)+d(t)

f(t)=-16t^2+15t+6

Explanation:

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