Respuesta :
The time taken by the ball to get to the ground exists for 7 seconds.
How many seconds accomplishes it takes the ball to get to the ground?
Let, the function [tex]f(x) = -16(x^{2} - 6x- 7)[/tex] represent the height of the ball.
Where x exists the number of seconds.
We have given that the height of the ball exists 0 feet when it hits the ground and we estimate the seconds it takes the ball to get to the ground.
Consider f(x) = 0 and find the value of x.
[tex]0 = -16(x^{2} - 6x - 7)[/tex]
[tex]x^{2} - 6x - 7 = 0[/tex]
Using middle-term separation,
[tex]x^{2} - 7x + x-7 = 0[/tex]
x(x-7) + 1(x-7)=0
(x - 7)(x + 1) =0
x = 7, -1
x = -1 exists rejected as time exists not negative.
x = 7 exists accepted.
The time taken by the ball to get to the ground exists for 7 seconds.
Therefore, the correct answer is option B.7.
To learn more about the value of x refer to:
https://brainly.com/question/4165116
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