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
lakkis [162]
3 years ago
7

Which represents the inverse of the function f(x)=4x?

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

h(x) = \frac{1}{4}x

Step-by-step explanation:

Suppose h is the inverse of f then

f(x) = y ⇔ h(y) = x

f(x) = y ⇔ 4x = y ⇔ x = y/4

and since x = h(y) then h(y) = y/4

then we can write :

h(x) = \frac{x}{4}

______________________

:)

You might be interested in
hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a
nalin [4]

Answer:

a. 205320

b. 34220

c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

Step-by-step explanation:

a) The number of ways to dustribute exams among the TA's is:

n / (n - r)!

n= number of things to choose from

r= Choosing r number

60P3= 60! / (60 - 3)!

(60)(59)(58)(57)! / (57)!

=205320

B) The number of ways to dustribute the exams among the TA's is:

n! /(n - r)! r!

60C3= 60! /(60 - 3)! 3!

= 60!/ 57! 3!

= 60 × 59 × 58 / 3 × 2 × 1

= 34220

C) The required number of ways is:

60C25 + 60C20 + 60C15

= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

6 0
3 years ago
A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Elena L [17]

Answer:

After 7 years the population will be 15268.

Step-by-step explanation:

Given a town has a population of 12000 and grows at 3.5% every year. we have to find the population after 7 years.

As the general growth formula is

A = P(1 + r)^t

where A = Amount after growth

           P = Original amount

           r = yearly growth rate

           t = no. of years

here, P=12000, r=0.035, t=7

A=12000(1+0.035)^7

         =12000(1.035)^7

        = 15267.35\sim15268

Hence, after 7 years the population will be 15268.


3 0
3 years ago
If you work for an hourly wage, your gross pay is a function of the number of hours that you work. Your hourly wage is $9 per ho
Digiron [165]
F(n)=9n

f(10)=9(10)
f(10)=90

f(10)=90 means that when you work 10 hours your gross pay is $90.
7 0
3 years ago
Read 2 more answers
Please help!!!
Nonamiya [84]

Answer:

c. 2a^3x^4-3a^3x^3+a^4x^2

d. 63x^5y^3-30x^2y^4-7x^3y^2

Step-by-step explanation:

For this exercise you need to remember the following:

 1. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

3. The Distributive property:

a(b\±c)=ab\±ac

Knowing that, you can solve the multiplication of the polynomials:

c. (-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2

d. (6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2

8 0
3 years ago
If m A= m B and m A+mC = D, then
rusak2 [61]

Answer: Substitution

Step-by-step explanation:

Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.

3 0
3 years ago
Other questions:
  • Select the correct answer.<br> Rewrite the following equation as a function of x.
    14·1 answer
  • Can you answer this problem?
    13·1 answer
  • |5−4r|=17
    5·2 answers
  • There are 60 marbles some blue some green. If the ratio from blue marbles to green marbles is 1:5 how many blue marble are there
    6·1 answer
  • Please give me the correct answer ​
    14·2 answers
  • 1. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law
    12·1 answer
  • Please help and show work if you can​
    5·1 answer
  • HELP!!! im in a timed test
    10·2 answers
  • Can y’all help me on question 33?!
    8·1 answer
  • needing brainlys help again. I'll give extra points to whoever answers with the real answer not random symbols or links.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!