Answer:
A
Step-by-step explanation:
We have the two functions:
![f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4](https://tex.z-dn.net/?f=f%28x%29%3D-4x%2B3%5Ctext%7B%20and%20%7D%20g%28x%29%3D3x%5E2%2B2x-4)
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
![\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%28f%2Bg%29%28x%29%26%3Df%28x%29%2Bg%28x%29%20%5C%5C%20%26%3D%28-4x%2B3%29%2B%283x%5E2%2B2x-4%29%20%5Cend%7Baligned%7D)
We simply substituted them for their equations.
Simplify. Combine like terms:
![=(3x^2)+(-4x+2x)+(3-4)](https://tex.z-dn.net/?f=%3D%283x%5E2%29%2B%28-4x%2B2x%29%2B%283-4%29)
Add:
![=3x^2-2x-1](https://tex.z-dn.net/?f=%3D3x%5E2-2x-1)
Hence, our answer is A.
Answer:
A. ![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
Step-by-step explanation:
x = 100
A. ![\frac{1}{100} = 0.01](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%3D%200.01)
B.
= 0.10
C. 1 - 100 = -99
D. 10 - 100 = -90
STEP 1:
find the sales tax (decimal form)
x= sales tax
Cost + (Cost * Sales Tax)= Total
plug in known numbers
$9.40 + ($9.40 * x)= $9.87
9.40 + 9.40x= 9.87
subtract 9.40 from both sides
9.40x= 0.47
divide both sides by 9.40
x= 0.47/9.40
x= 0.05 sales tax decimal form
STEP 2:
find sales tax percentage
= 0.05 * 100
or move decimal to the right two decimal places
= 5% sales tax percent form
ANSWER: The sales tax is 5% (or 0.05 in decimal form)
Hope this helps! :)