taleasmith048
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HELP ME ASAP PLEASE!!
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
What statements about this function are true?
A. The function is a linear function.
B. The function is a nonlinear function.
C. The function has a constant rate of change.
D. The function does not have a constant rate of change.
E. The function is a decreasing function.

Respuesta :

Answer:

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Step-by-step explanation:

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Answer:

Options B and D are correct.

Step-by-step explanation:

The given equation is :

[tex]y= -16x^{2}+48x+64[/tex]

We can see that it is a quadratic equation.

Hence it is non linear.

The rate is dependent on x, so it does not have a constant rate of change  also.

We can check this :

At x= 0, y = 64

At x=1, y = [tex]-16+48+64=96[/tex]

Hence, the function does not have a constant rate of change.

So, the answer is :

  • B. The function is a nonlinear function.
  • D. The function does not have a constant rate of change.

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