Answer:
![\boxed {\boxed {\sf A. \ 4x+1}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20A.%20%5C%204x%2B1%7D%7D)
Step-by-step explanation:
We are asked to find (f+g)(x). The question is essentially asking us to find the sum of f(x) and g(x).
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
We know that f(x) equals 3x-1 and g(x) equals x+2. Substitute the values of the functions in.
![(f+g)(x)=(3x-1)+(x+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x-1%29%2B%28x%2B2%29)
Combine the like terms.
- 3x and x are like terms (both have the variable "x"
- -1 and 2 are like terms (both without variables, also known as constants)
![(f+g)(x)=(3x+x)+(-1+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x%2Bx%29%2B%28-1%2B2%29)
![(f+g)(x)=(4x)+(1)=4x+1](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%284x%29%2B%281%29%3D4x%2B1)
(f+g)(x) is equal to <u>4x+1</u> and the correct answer is A.
Answer:
y=216
Step-by-step explanation:
y/2=108
y=216
3/8=x/20
Multiply both sides by 20.
20(3/8) = 60/8 = 15/2 = 7.5
7.5 = x
Sally has 14 strawberries she gives marissa 3 strawberries how many does sally have
Answer:
For more than 35 miles company A will charge less than company B
Step-by-step explanation:
Let us write the equation of the cost of each company
Company A:
∵ Company A charges $96 for unlimited mileage
∴ The cost of company A = 96
Company B:
∵ Company B charges an initial fee of $75
∵ It charges $0.6 for every mile driven
∵ The number of miles is m
- Multiply m by 0.6 and add 75 to the product
∴ The cost of company B = 75 + 0.6 m
∵ Company A will charge less than company b
∴ 96 < 75 + 0.6 m
- Subtract 75 from both sides
∴ 21 < 0.6 m
- Divide both sides by 0.6
∴ 35 < m
- That means m is greater than 35
∴ m > 35
For more than 35 miles company A will charge less than company B