-2•f(x+1)+6 = -2 |x+1| +6, which is NOT g(x).
-2•f(x+1)+3 = -2 |x+1| +3, which IS g(x).
Side note: you’re writing g(x) in terms of f(x), because f(x) is in the answer.
If you want to write f(x) in terms of g(x), then g(x) would be in the answer.
Simplified the answer would b 35^8
Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
Answer:
n= -9
Step-by-step explanation:
Simplifying
-2(n + 3) + -4 = 8
Reorder the terms:
-2(3 + n) + -4 = 8
(3 * -2 + n * -2) + -4 = 8
(-6 + -2n) + -4 = 8
Reorder the terms:
-6 + -4 + -2n = 8
Combine like terms: -6 + -4 = -10
-10 + -2n = 8
Solving
-10 + -2n = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + -2n = 8 + 10
Combine like terms: -10 + 10 = 0
0 + -2n = 8 + 10
-2n = 8 + 10
Combine like terms: 8 + 10 = 18
-2n = 18
Divide each side by '-2'.
n = -9
Simplifying
n = -9
Answer:
2.5
Step-by-step explanation: