Answer:
![[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
Step-by-step explanation:
Given

To find: ![[f(x)]^2-g(x)](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29)
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
![[f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2%20%3D%20%282x-2%29%5E2%5C%5CUsing%5C%20%28a-b%29%5E2%20%3D%20a%5E2-2ab%2Bb%5E2%5C%5C%5C%5Bf%28x%29%5D%5E2%20%3D%20%282x%29%5E2-2%282x%29%282%29%2B%282%29%5E2%5C%5C%3D%204x%5E2-8x%2B4)
Now subtracting g(x) from [f(x)]^2
![[f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%20%284x%5E2-8x%2B4%29-%28-x%5E2%2B5x%2B12%29%5C%5C%5C%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%204x%5E2-8x%2B4%2Bx%5E2-5x-12)
Combining alike terms
![[f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%204x%5E2%2Bx%5E2-5x-8x%2B4-12%5C%5C%5C%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
Hence,
Subtracting g(x) from the square of f(x) gives us:
![[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
The correct answer for this question is this one: <u>1410.10</u>
You have a credit card that has a balance of 3589.90 and a credit limit of 5000. The balance over the acceptable debt ratio percentage is
= 5000 - 3589.90
= 1410.10
Hope this helps answer your question and have a nice day ahead.
Answer:
not collinear points
Step-by-step explanation:
If the points are collinear ( lie on the same line ) then the slopes between adjacent points will be equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)
m =
=
= 2
Repeat with (x₁, y₁ ) = (4, 7) and (x₂, y₂ ) = (8, 11)
m =
=
= 1
Since the slopes are not equal then the points are not collinear
480
To get this answer you simply multiply 4.8 by 100
Answer:
x = 94 cm
Step-by-step explanation:
95.2 / 34 = 168/(x - 34)
95.2(x - 34) = 34 * 168
95.2x - 3236.8 = 5712
95.2x = 8948.8
x = 94