Answer:
C
Step-by-step explanation:
Adding we get:
-2x^2+3x^2 + 7x - 8x - 6 -1 = X^2 -x-7
1:3
If each side is x, the the perimeter is 3x. x/3x = 1/3
Blue Line :
Slope : 1/5
Y-Intercept : 1
Red Line :
Slope : 5/3
Y-Intercept : 4
Green Line :
Slope : 5/6
Y-Intercept : 7
Option C: 9 cm is the distance that the cricket jump
Explanation:
Given that the crickets jump can be measured by the function ![h(x)=-4x^{2} +36x](https://tex.z-dn.net/?f=h%28x%29%3D-4x%5E%7B2%7D%20%2B36x)
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.
<u>Distance:</u>
The distance that the cricket jump can be determined by substituting
in the function ![h(x)=-4x^{2} +36x](https://tex.z-dn.net/?f=h%28x%29%3D-4x%5E%7B2%7D%20%2B36x)
Thus, we have,
![0=-4x^{2} +36x](https://tex.z-dn.net/?f=0%3D-4x%5E%7B2%7D%20%2B36x)
Switch sides, we get,
![-4x^{2} +36x=0](https://tex.z-dn.net/?f=-4x%5E%7B2%7D%20%2B36x%3D0)
![4x(-x+9)=0](https://tex.z-dn.net/?f=4x%28-x%2B9%29%3D0)
or ![-x+9=0](https://tex.z-dn.net/?f=-x%2B9%3D0)
or ![x=9](https://tex.z-dn.net/?f=x%3D9)
Thus, the value of x is 9
Hence, the cricket jump up to 9 cm
Therefore, Option C is the correct answer.