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:
D. just sub x = 1, and if the y you get is 5 then that's the answer
Step-by-step explanation:
Let the width be x feet.
Therefore, length = 2x - 10
Perimeter of rectangle = 52
Answer:
C. y = x^2 -10x +26
Step-by-step explanation:
The translated function is ...
g(x) = f(x - right) + up
g(x) = f(x -5) +1
g(x) = (x -5)^2 +1
g(x) = x^2 -10x +26
In "y =" form, this is ...
y = x^2 -10x +26 . . . . matches choice C
