Respuesta :
Option C: 9 cm is the distance that the cricket jump
Explanation:
Given that the crickets jump can be measured by the function [tex]h(x)=-4x^{2} +36x[/tex]
Where h(x) is the height in cm and x is the horizontal distance in cm.
We need to determine the distance that the cricket jump.
Distance:
The distance that the cricket jump can be determined by substituting [tex]h(x)=0[/tex] in the function [tex]h(x)=-4x^{2} +36x[/tex]
Thus, we have,
[tex]0=-4x^{2} +36x[/tex]
Switch sides, we get,
[tex]-4x^{2} +36x=0[/tex]
[tex]4x(-x+9)=0[/tex]
[tex]4x=0[/tex] or [tex]-x+9=0[/tex]
[tex]x=0[/tex] or [tex]x=9[/tex]
Thus, the value of x is 9
Hence, the cricket jump up to 9 cm
Therefore, Option C is the correct answer.
