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
skelet666 [1.2K]
3 years ago
15

Find an equation for the inverse of the following relation.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

f^{-1}(x) = \frac{3x-15}{2}

Step-by-step explanation:

Given

y = \frac{2}{3} x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

\frac{3y-15}{2} = x

Replace x by f^{-1} (x) and y by x, thus

f^{-1} (x) = \frac{3x-15}{2}

You might be interested in
How many 3/4s are in 15?
jasenka [17]

Answer:

20

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the quadratic equation by taking square roots.
Stolb23 [73]

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± \sqrt{8} = ± 2\sqrt{2}

------------------------------------

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = \frac{9}{5} ( take the square root of both sides )

x = ± \sqrt{\frac{9}{5} } = ± \frac{3}{\sqrt{5} }

-----------------------------------------

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± \sqrt{7}

4 0
3 years ago
Find the cosine of ZX.
11Alexandr11 [23.1K]

Answer:

\cos(x)  =  \frac{ 65}{ \sqrt{ {65}^{2}  +  {72}^{2} } }  =  \frac{65}{97}

8 0
3 years ago
Please Help me it would mean a lot! TYSM!!!
MA_775_DIABLO [31]

Step-by-step explanation:

A and B works because both are 8x+4y

hope it helped

5 0
3 years ago
Jay's net earnings are $4000 per month. Jay's monthly expenses are $3000 per month, with $2000 of that being rent. According to
Solnce55 [7]

In Five month Jay should have $15,000  in his account has emergency fund

<h3>Given Data</h3>

Earnings per month = $4000

Monthly Expenses = $3000

Monthly Rent = $2000 part of monthly expenses

After deducting monthly expenses from Monthly earning we have

4000-3000 = $1000

<h3>Determining the 5-months Emergency Funds</h3>

Since we have a monthly expenses of $3000 a five month emergency fund will be

= 3000*5

= $15,000

Learn more about emergency fund calculation here:

brainly.com/question/13420184

7 0
2 years ago
Other questions:
  • Look at the figure. If ∠1≡∠5, describe the relationship between lines a and b.
    8·2 answers
  • Is 3.2 meters equal to 320 millimeters?
    6·1 answer
  • The little town arts center charges $23 for adults, $13 for senior citizens, and $6 for children under 12 for their live perform
    10·1 answer
  • A rectangle has an area of 3x^4-22x^2 and a length of 3x^2+5. Find the width of the rectangle
    8·1 answer
  • Multiply the following-6√7×2√7​
    5·1 answer
  • In a box there are some buttons. 45 are large and the rest are small. Some are yellow and the rest are green. The number of smal
    11·1 answer
  • Can someone write me a 5 paragraph essay of why we should wear masks.
    11·1 answer
  • What is the slope of the line y<br> 5<br> X-5?
    12·1 answer
  • Which of the following equations expresses y as a function of x? help pls i’ll rate beainliest
    11·1 answer
  • If you are told to evaluate 6 - a, and a = -5, which of these is the correct next step
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!