Answer:
g o f = ![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
Step-by-step explanation:
Given
![f(x) = 4x +2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%20%2B2)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
Required:
Find g o f
This is calculated as:
![gof = g(f(x))](https://tex.z-dn.net/?f=gof%20%3D%20g%28f%28x%29%29)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
So:
![g(f(x)) = 2(4x+2)^2 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%5E2%20-%204)
![g(f(x)) = 2(4x+2)(4x+2) - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%284x%2B2%29%20-%204)
![g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%5B%2016x%5E2%20%2B%2016x%20%2B%204%29%5D%20-%204)
![g(f(x)) = 32x^2 + 32x + 8 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%208%20-%204)
![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
Answer:
no solution
Step-by-step explanation:
Answer: 92 which is choice D
Look at the right side of values for the digit that comes up the most. In this case, it would be '2' in the second row. It shows up 3 times. Those leafs pair up with the stem of 9 to form the full value 92. So we have 92 show up three times which is the most frequent value.
The data set would expand out to
85, 88
92, 92, 92, 98
105, 106, 106, 109
113
126, 127
Definition of quadratic a formula
= a formula that gives the solutions of the general quadratic equation ax2 + bx + c = 0 and that is usually written in the form x = (-b ± √(b2 − 4ac))/(2a)
supplementary angles add up to 180 degrees
x + y = 180
x - y = 92
---------------add
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is ur other angle