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Answer:
-4x² - 2xy + 5y²
Step-by-step explanation:
Step 1: Write expression
(3x² - 5xy + 2y²) - (7x² - 3xy - 3y²)
Step 2: Distribute negative
3x² - 5xy + 2y² - 7x² + 3xy + 3y²
Step 3: Combine like terms
-4x² - 2xy + 5y²
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:

Answer:
y = -
x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
14x + 6y = 36 ( subtract 14x from both sides )
6y = - 14x + 36 ( divide all terms by 6 )
y = -
x + 6, that is
y = -
x + 6 ← in slope- intercept form
Answer: 110.6
Step-by-step explanation: 220 - 109.4 = 110.6