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3 years ago

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 :

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

______________________

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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