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
madam [21]
3 years ago
5

Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0

Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

g(x)=3x-9\\=3(x-3)

Thus, we have

(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}

On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

You might be interested in
Espen predicted that he would sell 32 baseball caps but he actually sold 29 baseball caps which expression would find the percen
Gre4nikov [31]

Answer:

B

Step-by-step explanation:

This is the correct answer because the difference between 32 and 29 is 3 and the intial price is 32, Hence 3/32 (100)

6 0
3 years ago
Plsplsplsplspsplsplsplsplsplsplspslpslpls
Norma-Jean [14]

Answer:

X= 6!

Step-by-step explanation:

7 is half of 14

6 is half of 12

Have a great day!

5 0
3 years ago
Bertie has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to
Black_prince [1.1K]

Answer:

Step-by-step explanation:

Bertie's $12.00 will buy (12) / ($3.75/gal), or 3.2 gallons.

The ordered pair in quewtion is (3.2, $12),

3 0
3 years ago
Find the missing side lengths.
CaHeK987 [17]

Use the Pythagorean theorem:

x^2+8^2=17^2\\\\x^2+64=289\qquad\text{subtract 64 from both sides}\\\\x^2=225\to x=\sqrt{225}\\\\\boxed{x=15\ ft}

4 0
3 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
Angelina_Jolie [31]
The slope of line M`N` is : B ) 1
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the approximate solution to this equation?
    6·2 answers
  • 2. If a seamstress is paid $7.85 per hour and works 18.75 hours in one week, how much is she paid for that week? A. $147.19 B. $
    12·1 answer
  • A car troubles at an average speed of 52 mph how long does it take to travel 286 miles
    14·2 answers
  • 4 coffees and 12 lattes. Costs $61
    11·1 answer
  • If you multiply the slopes of two perpendicular lines, what is the result?
    7·1 answer
  • you can ride a bicycle 15mph. your sister rides 12mph. you give her a one hour head start. in how many hours will you catch up i
    10·1 answer
  • What is a good minesweeper win percentage?
    10·1 answer
  • Based on the sample results, about what percent of
    12·1 answer
  • Will give brainliest if correct.
    13·1 answer
  • students are asked to evaluate the food provided in the university cafeteria on 7-point scales with bipolar/antonym adjectives s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!