1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
il63 [147K]
3 years ago
10

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

Answer:

\large\boxed{B.\ (f-g)(x)=-x-15}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15

You might be interested in
Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
Amiraneli [1.4K]
Twenty two percentage
8 0
2 years ago
The charge to rent a trailer is ​$2525 for up to 2 hours plus ​$99 per additional hour or portion of an hour. Find the cost to r
Ksju [112]

The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 ​hours, 3 ​hours, and 8.7 hours.

Then graph all ordered​ pairs, (hours,​ cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 ​hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 ​hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 ​hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

4 0
3 years ago
liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?​
slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has 8 \frac{3}{4} gallons of paint.

He uses \frac{2}{5} of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = 8 \frac{3}{4} gallons  

Converting mixed fraction 8 \frac{3}{4} to decimal we get 8.75

Amount of paint used = 2/5th of available amount  

= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0
4 years ago
Simplify Fraction improper 13/8
Soloha48 [4]

Answer:

Exact Form:

13 /8

Decimal Form:

1.625

Mixed Number Form:

1  5/ 8

8 0
2 years ago
Please respond to the question below in your own words with proper explanations
ycow [4]

Answer:

t(400)=673.

It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

Step-by-step explanation:

Given:

The function relating number of 9 inch tiles required and area to cover is:

t(A)=\frac{144}{9.25^2}A

Now, plug in 400 for A to evaluate t(400).

t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225

Therefore, Don required  673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

4 0
3 years ago
Other questions:
  • The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same inf
    12·2 answers
  • Which choice describes a question that could be answered by moving the decimal point 2 places to the left?
    6·2 answers
  • Question 3 of 10
    6·1 answer
  • PLEASE HELP PICTURE SHOWN
    12·1 answer
  • Hailey's plane climbed 4,500 feet in 90 seconds. How fast did her plane climb every second?
    10·1 answer
  • The scale of a map is 1 in.:250 miles. City a is 368 miles from city h. To the nearest tenth, how far is its distance on the map
    6·1 answer
  • The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1997 his card was wo
    9·1 answer
  • PLEASE HELP!!!<br> A)<br> B)<br> C)<br> D)
    8·1 answer
  • Help me with my work, please
    10·1 answer
  • The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the ori
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!