<span>The factory makes shirts for 9 hours each workday. </span>
Answer:
![x_{1} =4+2\sqrt{2}\\x_{2}=4-2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D4%2B2%5Csqrt%7B2%7D%5C%5Cx_%7B2%7D%3D4-2%5Csqrt%7B2%7D)
Step-by-step explanation:
- 8x+ 8 = 0
we divide the coefficient of the X by half :
in this case: 8x/2 = 4 , then we do the following
to the result obtained (4) squared: 4^2=16
we sum and subtract by 16 to maintain the balance of equation:
- 8x+ 16-16+8 = 0
we have:
-16 +8=0
=16-8
= 8
we write the square root on both sides of the equation:
![\sqrt{(x-4)^{2}} = \sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-4%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B8%7D)
we know:
![\sqrt{a^{2}} = abs(a)](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%7D%20%3D%20abs%28a%29)
so we have:
abs(x-4)=![\sqrt{2^{2}2 }](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E%7B2%7D2%20%7D)
abs(x-4)=2![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
we have:
![x_{1} -4 = 2\sqrt{2} \\\\x_{2} -4 =- 2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20-4%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5Cx_%7B2%7D%20-4%20%3D-%202%5Csqrt%7B2%7D)
finally we have:
![x_{1} = 4+2\sqrt{2} \\\\x_{2} =4 - 2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%204%2B2%5Csqrt%7B2%7D%20%5C%5C%5C%5Cx_%7B2%7D%20%3D4%20-%202%5Csqrt%7B2%7D)
Answer:
2, 20, 29
Step-by-step explanation:
2, 20, 29
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Answer:
A. g(x)=9(3^(x−2))
Step-by-step explanation:
g(x) = 3^x = 3^(x-2+2) = (3^2)(3^(x-2))
g(x) = 9(3^(x-2)) . . . . . matches choice A