Question

What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)

please answer asap

Answer 1

To find the value that makes f(x) = 11, set the equation f(x) = 5(4x-3) - 2(x-6) equal to 11 and solve for x. The value that makes f(x) = 11 is x = 7/9.

Step-by-step explanation:

To find the value that makes f(x) = 11, we can set the equation f(x) = 5(4x-3) - 2(x-6) equal to 11 and solve for x. Let's go step by step:

1. Distribute: f(x) = 20x - 15 - 2x + 12
2. Combine like terms: f(x) = 18x - 3
3. Set equal to 11: 18x - 3 = 11
4. Add 3 to both sides: 18x = 14
5. Divide both sides by 18: x = 14/18
6. Simplify the fraction if needed: x = 7/9

Therefore, the value that makes f(x) = 11 is x = 7/9.

Answer 2

Substitute 11 for f(x) and solve
5(4x-3)-2(x-6)=11
Distribute
20x-15-2x+12=11
Combine
18x-3=11
18x=14
x=14/18
x=7/9