Standard form: ax^2 + bx + c = y
Steps to simplify:
2x^2 - 1 = 3x + 4
~Subtract (3x + 4) to both sides
2x^2 - 1 - 3x + 4 = 3x + 4 - 3x + 4
~Simplify
2x^2 - 3x - 5 = 0
(a = 2, b = -3, c = -5)
Now that we know what these values are, we can use the quadratic formula to solve.

Answer: x = 5/2 or x = -1
Best of Luck!
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:
or 4p^2
Step-by-step explanation:
Combine like terms:
4 x 4 and p x p
4^2 and p^2
4p^2
Answer:
Below
Step-by-step explanation:
9 