Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
Answer: 0.0375
Step-by-step explanation:
0.15 divided by 4 = 0.0375
Anything greater than 4 but less than 9
Given:
(x₁,y₁) = (-2,4)
(x₂,y₂) = (0,2)
Determine the slope of the function
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 4) / (0 + 2)
m = -2/2
m = -1
Determine the equation
y - y₁ = m(x - x₁)
y - 4 = -1(x - (-2))
y - 4 = -1 (x + 2)
y - 4 = -x - 2
y = -x - 2 + 4
y = -x + 2
f(x) = -x + 2
The correct answer is first option
