The function f is given by

where b is a constant and g is differentiable function satisfying g(2) =3 and g'(2)= -1. for what value of b f'(2) =0

a. -7
b. -10
c. -12
d. -22

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

What is the solution to this system of equations? y= 2x - 3.5 x - 2y = -14