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,
![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)
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.
You didn't specify how big the festival is. so i can't find the answer.....but i will try
first let's devide 10,000 by 0.9 to see how many square metres we need, to fit 10,000 people
10,000÷0.9=11,111 square meters
we need atleast 11,111 meters of land for a safe festival
hope this help Answer:( x - 3i√2)(x + 3i√2)
solve x² + 18 = 0
x² = - 18 ⇒ x = ±√- 18 = ±3i√2
factors are ( x - (3i√2))(x - (-3i√2))
x² + 18 = (x - 3i√2)(x + 3i√2
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Given that:
Total yards of satin bought by Maddie =
yards
Number of yards required make one ribbon =
yards
To find:
Number of complete bows that can be made ?
Solution:
First of all, let us learn about converting the mixed fraction to fractional form.
Formula:

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

One hair bow requires
yards of ribbon.
Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.
Answer is:

4 hair bows can be made.
Answer:
this made no sense at first but the answer is b
Step-by-step explanation: