Answer:
![f(x)=5x^2+25x-30](https://tex.z-dn.net/?f=f%28x%29%3D5x%5E2%2B25x-30)
Step-by-step explanation:
<u>Quadratic Equation</u>
If the roots of a quadratic equation are known, we can form the equation as follows:
![f(x)=a(x-x_1)(x-x_2)](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-x_1%29%28x-x_2%29)
where x1 and x2 are the known roots, and a is the leading coefficient.
We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:
![f(x)=5(x-1)(x+6)](https://tex.z-dn.net/?f=f%28x%29%3D5%28x-1%29%28x%2B6%29)
Operating:
![f(x)=5(x^2-x+6x-6)](https://tex.z-dn.net/?f=f%28x%29%3D5%28x%5E2-x%2B6x-6%29)
Simplifying:
![f(x)=5(x^2+5x-6)](https://tex.z-dn.net/?f=f%28x%29%3D5%28x%5E2%2B5x-6%29)
Multiplying:
![\mathbf{f(x)=5x^2+25x-30}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%3D5x%5E2%2B25x-30%7D)
Answer:
= 288π in2
Step-by-step explanation:
Volume of a sphere is given by;
V =(4/3)πr3
V = volume
r is radius
Therefore V = {(4/3) × π × (6^3)} in3
= 288π in2
Answer:
21.875
Step-by-step explanation:
you do 175 divided by 8
Answer:
58.5
Step-by-step explanation:
tacos 3 x 53 = 159
510 - 159 = 351
burritos 351 / 6 = 58.5