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
ikadub [295]
3 years ago
8

Find f/g for the functions provided. 10 points Help needed.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

ANSWER

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

EXPLANATION

The given functions are

f(x) =  {x}^{3}  - 27

and

g(x) = 3x - 9

( \frac{f}{g} )(x) =  \frac{f(x)}{g(x)}

( \frac{f}{g} )(x) =  \frac{ {x}^{3}  - 27}{3x - 9}

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

Cancel the common factors,

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

OR

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

You might be interested in
4×(-5)÷(-2) my name is mirtha​
elena55 [62]
Answer: 10
Do PEMDAS to find your answer.
Hi mirtha
6 0
2 years ago
Two brothers are sharing a certain sum of money in the ratio 2/3 : 3/5, if the largest share was Gh¢500.00. How much was shared
lina2011 [118]

Given:

Two brothers are sharing a certain sum of money in the ratio \dfrac{2}{3}:\dfrac{3}{5}.

The largest share was Gh¢500.00.

To find:

The total amount shared between them.

Solution:

It is given that, two brothers are sharing a certain sum of money in the ratio \dfrac{2}{3}:\dfrac{3}{5}.

First we need to make the denominators common.

Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}

Ratio=\dfrac{10}{15}:\dfrac{9}{15}

Ratio=10:9

So, the two brothers are sharing a certain sum of money in the ratio 10:9.

Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.

It is given that the largest share was Gh¢500.00.

10x=500

x=\dfrac{500}{10}

x=50

Now, the total amount shared between them is:

Total=10x+9x

Total=19x

Total=19(50)

Total=950

Therefore, the total amount shared between them is Gh¢950.00.

5 0
3 years ago
For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence co
Tanzania [10]

Answer:

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

B. 5^-n. -----------converges

C. Sin n/5n------ converges

D. 5n + 5/n ------diverges

Step-by-step explanation:

5 0
3 years ago
Which two expressions are equivalent?
MariettaO [177]

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

7(6+z) = 42 + 7z

the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

6 0
2 years ago
Find the area of the following figure:
stellarik [79]

Answer:

12m

Step-by-step explanation:

You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)

Area= 1/2 * 4 (6)

Area = 2(6)

Area = 12m

4 0
3 years ago
Other questions:
  • Factorize the following<br> 2x+10
    8·1 answer
  • The value of y varies directly with x, and y = 3 when x = 1. Find y when x = −5.
    15·1 answer
  • PICTURE ATTACHED: please answer questions worth 10 points and brainalist!!!
    6·2 answers
  • 50 POINTS
    10·2 answers
  • Jose rents a bike for $4 plus
    8·2 answers
  • On Saturday, Alicia ran 2 miles. This was 0.3 miles farther than Henry ran. Write and solve an
    8·1 answer
  • Solve this and I'll give you brainliest!​<br>thank you!!!​
    15·2 answers
  • I really need help with 9 and 10. If you can help I’ll figure out how to give your brainliest.
    5·1 answer
  • If BU is 8 and UA is 4 and AN is 24 what is GU
    11·1 answer
  • A function is shown below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!