contestada

The function f(t) = -16t2 + 64t + 5 models the height of a ball that was hit into the
air, where t is measured in seconds and h is the height in feet.
This table represents the height, g(t), of a second ball that was thrown into the air.
Time,
(in seconds)
0
Height, g(t)
(in feet)
4
1
2
36
36
4
3
Which statement BEST compares the length of time each ball is in the air?
The ball represented by f(t) is in the air for about 4 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 5 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 5 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 4 seconds.

Respuesta :

ajeigbeibraheem

The best statement that compares the length of time each ball is in the air is seen in the second option.

What is the function of a quadratic equation?

A quadratic function follows the condition: f(x) = ax² + bx + c. Here (a, b, and c) are real numbers and a ≠ 0.  

From the given information:

  • The function f(t) = -16t² +64t + 5 models the height of a ball

Where;

  • time (t) ⇒ seconds
  • height (h) ⇒ feet

The table given is as follows:

Time (in seconds)                 height, g(t) in feet

0                                             4

1                                              36

2                                              36

3                                              4

From the table, when t = 0, the function becomes:

f(t) = -16t² +64t + 5

f(t) = -16(0)² + 64(0) + 5

f(t) = 5

Therefore, we can conclude that the best statement that compares the ball is: f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in the air for about 3 seconds.

Learn more about the function of a quadratic equation here:
https://brainly.com/question/14712068

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