Hello!
4 (x-12) ^ 1/3 = -16
Step 1. Simplify each side of the equation, 4/
3x + −16 = −16 and 4
/3
x −16 = −16
Step 2. Add 16 to both sides, 4
/3
x − 16 + 16 = −16 + 16
Step 3: Multiply both sides by 3/4, (
3/4)*(4/3x)=(3/4)*(0)
Final Answer: x= 0
Hope I could help! :)
Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:
![f(x)=A\cos (\frac{2\pi}{T}x)+b](https://tex.z-dn.net/?f=f%28x%29%3DA%5Ccos%20%28%5Cfrac%7B2%5Cpi%7D%7BT%7Dx%29%2Bb)
In the given case, you have:
A = 4
T = 3π/4
b = -3
By replacing you obtain:
![\begin{gathered} f(x)=4\cos (\frac{2\pi}{\frac{3\pi}{4}}x)-3 \\ f(x)=4\cos (\frac{8}{3}x)-3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D4%5Ccos%20%28%5Cfrac%7B2%5Cpi%7D%7B%5Cfrac%7B3%5Cpi%7D%7B4%7D%7Dx%29-3%20%5C%5C%20f%28x%29%3D4%5Ccos%20%28%5Cfrac%7B8%7D%7B3%7Dx%29-3%20%5Cend%7Bgathered%7D)
Hence, the answer is:
f(x) = 4cos(8/3 x) - 3
Answer:
Mode :))))))))))))))))))))
Step-by-step explanation:
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There should be 2 teachers and 21 students on each bus.
Step-by-step explanation:
i think the answer is 35 but i am not 100% sure