Answer:
x = 73/12
Step-by-step explanation:
Given:
![\displaystyle \large{12(x-7)=-11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12%28x-7%29%3D-11%7D)
Distribute 12 in x-7:
![\displaystyle \large{12x-84=-11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12x-84%3D-11%7D)
Add both sides by 84:
![\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12x-84%2B84%3D-11%2B84%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B12x%3D73%7D)
Divide both sides by 12:
![\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7B12x%7D%7B12%7D%3D%5Cdfrac%7B73%7D%7B12%7D%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7Bx%3D%5Cdfrac%7B73%7D%7B12%7D%7D)
Therefore, the solution is x = 73/12
Answer:
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Step-by-step explanation:
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Answer:
5x+35
Step-by-step explanation:
the parentheses means that you can multiply the outer number (5) with the inner numbers/variables
5*x=5x
5*7=35
5x+35
Answer:
because you can have 24 go into 60 2 times
Step-by-step explanation:
She only had it go in to 60 once but it should be 2 times
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)