Set all the factors equal to 0 and solve for x.
1) x + 6 = 0
x = -6
2) x + 8 = 0
x = -8
3) x + 15 = 0
x = -15
When the function is graphed, you can see that the function crosses the numbers -15, -8, and -6 on the x-axis. These are the zeros.
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.
Yes. That's exactly right. Good work.
Answer:
156
Step-by-step explanation:
Answer:
$ 800
Step-by-step explanation:
Parking slot is in the shape of parallelogram.
base = 3 m
Height = 6 2/3 m
Area = base * height
![= 3 * 6\frac{2}{3}\\\\= 3*\frac{20}{3}\\\\= 20 sq.m](https://tex.z-dn.net/?f=%3D%203%20%2A%206%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D%203%2A%5Cfrac%7B20%7D%7B3%7D%5C%5C%5C%5C%3D%2020%20sq.m)
Cost of paving the parking spot = 20 * 40
= $ 800