Answer:
A
Step-by-step explanation:
ƒ(x) = 2x2 + 5x – 8
g(x) = –x2 + 6x
(ƒ – g)(x)=2x2+5x-8-(-x2+6x)
=2x2+5x-8+x2-6x
=3x2-x-8
Answer:
f(x) = -x -3
Step-by-step explanation:
Answer:
13 1/3 miles per hour
Step-by-step explanation:
Take the distance and divide by the time
1 1/3 ÷ 1/10
Change to an improper fraction
4/3 ÷ 1/10
Copy dot flip
4/3 * 10/1
40/3 miles per hour
changing to a mixed number
13 1/3 miles per hour
Combine like terms on the right side:


Add 9 to both sides:

Divide both sides by 5 to get x by itself:

The value of x is
7.
Answer: 7.8 days
<u>Step-by-step explanation:</u>
Painter can get the job done in 15 days so gets
of the job done in 1 day.
Coworker can get the job done in 10 days so gets
of the job done in 1 day.
Together, they get
of the job done in 1 day.
Painter worked for 3 days so completed
of the job.
That leaves a remaining of
of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together

Multiply by 30 to eliminate the denominator:

Simplify and solve for x:
2x + 3x = 24
5x = 24

x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8