Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
Answer:
slope = - 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = 
= 
= 
= -
Answer:24
Step-by-step explanation:
Subtract 8 from 22 = 1/4a+1/3a=14
Add the fractions together =7/12a=14
Divide 14 by 7/12 and a=24
Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
