Answer:
Switch x and y, and solve for y
Step-by-step explanation:
Given
Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
![f(x) = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Replace f(x) with y
![y = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Switch x and y
![x = \sqrt[3]{8y} + 4](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204)
<u>Now, we solve for y</u>
Subtract 4 from both sides
![x -4= \sqrt[3]{8y} + 4-4](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204-4)
![x -4= \sqrt[3]{8y}](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D)
Take cube roots of both sides
Divide both sides by 8
So, we have:
Hence, the inverse function is:
M = (y2 - y1) / (x2 - x1)
m = (-2 - 2) / (4 - 0)
m = -4 / 4
m = -1
The slope of the line that goes through (0, 2) and (4, -2) is -1.
Ok the answer is -5 less than 9 which is true lol
Anyways here’s how I got the answer
-5+7+2x-13 less than 9
Combine like terms in this case it’s -5 and 2, and the other is 7 and -13
-5+2= -3
7-13= -6
Ok now that that’s done here’s the next step
-3x-6 less than 9 solve it
-3x-6 < 9
+6< +6
-3x < 15
Now from there you divide then so
-3x/3 cancels out, and 15/-3 = -5
X=-5
And so -5<9 :) hope this helped!! I will also include a picture of my work (please exult messiness lol)
Answer:wanna hang
Step-by-step explanation:
Answer:
The numbers 180 and 0 would make the average 90
Step-by-step explanation:
we know that
To find the average of two numbers, add the numbers and then divide by two.
Let
x ----> one number
y ----> the other number
The average is equal to
(x+y)/2
For x=180 and y=0
the average is equal to
(180+0)/2=90
therefore
The numbers 180 and 0 would make the average 90
