Answer:
- 9
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [a, b ] = [ - 5, 2 ], thus
f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6
f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus
average rate of change = 
= 
= - 9
Answer:
infinite Solutions
Step-by-step explanation:
12x+1 = 12x+3-2
12+1 = 12x+1
The equation is same on both sides, so x can be anything.
Answer:
12
Step-by-step explanation:
(-15)/(-18) = 10/x cross multiply expressions
-15x = -180 since both sides are negative we can write without the sign
15x = 180 divide both sides by 15
x = 12
Answer:
4x + 4
Step-by-step explanation:
F(x) = 2x - 1
G(x) = 3x + 2
H(x) = x²
We have to calculate the expression F(G(x)) - F(x)
F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,
F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3
Thus,
F(G(x)) - F(x) = 6x + 3 - (2x - 1)
= 6x + 3 -2x + 1
= 4x + 4
Therefore, the expression F(G(x)) - F(x) equals 4x + 4
Based on the given scenario above wherein the quality control analyst just inspects the first 100 items produced that day in order to avoid staying after work, the sampling method that she used is the CONVENIENCE SAMPLING METHOD. Hope this helps.
