Given:
The function is
![f(x)=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
To find:
The inverse function 
.
Solution:
We have,
Step 1: Putting f(x)=y, we get
![y=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
Step 2: Interchange x and y.
![x=\dfrac{8\sqrt[3]{y}-8}{9}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7By%7D-8%7D%7B9%7D)
Step 3: Isolate variable y.
![9x=8\sqrt[3]{y}-8](https://tex.z-dn.net/?f=9x%3D8%5Csqrt%5B3%5D%7By%7D-8)
![9x+8=8\sqrt[3]{y}](https://tex.z-dn.net/?f=9x%2B8%3D8%5Csqrt%5B3%5D%7By%7D)
![\dfrac{9x+8}{8}=\sqrt[3]{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B9x%2B8%7D%7B8%7D%3D%5Csqrt%5B3%5D%7By%7D)
Taking cube on both sides, we get
Step 4: Putting 
, we get
Therefore, the correct option is C.
Answer:
0.3030
Step-by-step explanation:
divide 10 b y 33
Hi Lawrence!
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We Know:
Powersports Plus: $30 an hour plus a non-refundable deposit of $50.
Sun & Surf: $20 an hour plus a non-refundable deposit of $80.
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Equation:
x = per hour
y = total
Powersports: 30x + 50 = y
Sun and Surf: 20x + 80 = y
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Solution: (Add the deposit then start adding hourly costs)
Powersports: 80, 110, 140
Sun and Surf: 100, 120, 140
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Answer: After <u>3 hours</u> both companies will cost the same amount of money.
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Hope This Helps :)
Answer:
2
Step-by-step explanation:
We are given the distance QA=1.25 and QA'=2.5.
We make the relation 2.5/1.25=2 is the scale factor!
The answer is D. 13 Inches, this is 6th grade math I believe?
