Find the inverse of the function.

Find The Inverse Of The Function.

Answers

Answer 1

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer 2

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)


Related Questions

2.1-?=1 1/2

Please answer this I don’t want to fail

Answers

.6. This is right, brainliest?
2.1-(-3.4)=11/2 . . . . . . .

The retail store damaged the containers and now must sell them for $12.50. If they original bought
them for $16.00. What is the decrease percent?

Answers

Answer:

21.875 percent decrease

Step-by-step explanation:

ANSWER THE QUESTION PLEASE I NEED 100%

Answers

Answer:

B 8 +(-5)

Step-by-step explanation:

It was at 8 degrees then dropped 5.

So 5 was subtracted from 8.

Hope this helps!!

Find an equation in standard form that has the following roots (-5,0) (6,0)

Answers

Answer:

x²-x-30=0

Step-by-step explanation:

so the roots are -5 and 6

we can find the exquation by knowing that

(x-root1)(x-root2)=the equation

(x+5)(x-6) distribute

x²-6x+5x-30 combine like terms

x²-x-30

One pound of candies costs $3.50.

How many pound of candies can be bought for $10.50?

Answers

he bought 3 pounds of candy. $10.50 / 3.50 = 3

Answer:

2

Step-by-step explanation:

10.5/3.5=2

The sum of two consecutive numbers is 77. The difference of half of the smaller number and one-third of
the larger number is 6. If x is the smaller number and y is the larger number, which two equations
represent the sum and difference of the numbers?
O x - y = 77 and 1/2 x + 1/3 y = 6
O x + y = 77 and 1/2 x - 1/3 y = 6
Ox-y=6 and 1/2 x + 1/3 y = 77

Answers

Answer:

so x+y=77

1/2x-1/3y=6

.Lakewood Auditorium For the next movement, the director tells the students to move on the stage so that rectangle ZYXW is translated 25 feet to the left and 20 feet down. What are the coordinates of rectangle Z′Y′X′W′ '?

Answers

Answer:

hwhjwjaikwkww jajjksisiofee oakw

Understand the question explain and u will be brainiest

Answers

The answer is 1/7
This is because the question asks if a student DOES NOT have any pets, so you find the total outside of the ‘has pets’ area. This is 30 that have siblings and 5 which do not:
30+5 = 35
Then the question asks for the probability that they DO NOT have siblings so that is 5 people.
5/35 = 1/7

Three times a number is less than 96.

Answers

Answer:

x is greater than sign then 32

Step-by-step explanation:

What is 15.23 rounded to the nearest hundredth

Answers

Answer:

15.20

Step-by-step explanation:

Which one is the slope and which one is the y-intercept? Thank you for answering whoever answers.

Answers

Answer:

2.50 is the y-intercept, and 0.30 is the slope.

Step-by-step explanation:

y = 0.3x + 2.5

Answer:

Y intercept is the intercept that goes up and down on a graph. (x,y) Rise/run is the slope. Rise is how many y units one point is from the other and run is how many x units is away from one point to another on a graph. Hope this helped at all.

1) 3 is 50% of what?

Answers

6 because 6 divided my 2 is 3 !

Answer: 6

Step-by-step explanation:

Carlos is blowing air into a spherical soap bubble at the rate of 5 cm3/sec.
How fast is the radius of the bubble changing when the radius is 10 cm? (Round your answer to four decimal places.)

How fast is the surface area of the bubble changing at that time? (Round your answer to one decimal places.)

Answers

Answer:

The answer is below

Step-by-step explanation:

a) dV/dt = 5 cm³/s

The volume (V) of the bubble is:

[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]

b) The surface area of the sphere (A) is:

[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]

The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]

The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

The formula for calculating the volume of a sphere is expressed as;

[tex]V =\frac{4}{3} \pi r^3[/tex]

r is the radius of the sphere

Differentiating the volume with respect to time;

[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]

Given the following parameters

dV/dt = 5 cm^3/sec.

r = 10 cm

Substitute into the formula to get dr/dt

[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]

The surface area of the bubble is expressed as:

[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]

Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

Learn more here: https://brainly.com/question/12663882

What is the answer for number 5

Answers

Step-by-step explanation:

3x - 7 = 11

3x = 11 + 7

3x = 18

x = 18/3

= 6

I WILL GIVE BRAINLIST

Zaire keeps track of the number of frisbee golf holes on which he makes par or better. The
table shows the number of holes Zaire has played during his round so far. If the ratio of holes
with par or better to total holes played is equal to 0.8, on how many of the holes has Zaire
made par or better?

Answers

Answer:

1.80

Step-by-step explanation:

Zaire has made par or better on 12 holes out of 15 that he has played.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

If the ratio of holes with par or better to total holes played is equal to 0.8, it means that Zaire has made par or better on 80% of the holes he has played.

Let's set up an equation to solve for the number of holes with par or better:

N/15 = 0.8

To solve for N, we can cross-multiply:

N = 15 x 0.8

N = 12

Therefore, Zaire has made par or better on 12 holes out of 15 that he has played.

To learn more on Ratios click:

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A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed

Answers

Answer:

[tex]Codes= 512[/tex]

Step-by-step explanation:

Given

[tex]Switches = 9[/tex]

[tex]Controls = 2[/tex] ------- on or off

Required

Determine the number of codes to be programmed

Since each switch has any of the on or off controls (i.e on or off), then:

The first switch can be coded in any of the 2 controls

The second switch can be coded in any of the 2 controls

The third switch can be coded in any of the 2 controls

Up till the ninth switch

So, we have that:

[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]

[tex]Codes = 2^9[/tex]

[tex]Codes= 512[/tex]

Hence, there are 512 possible codes

I need help with question 2 please answer

Answers

Answer:credit to gail2104lp42 but its 4/3 i think

Step-by-step explanation:

Simplify: 5^ -3 • 5^ 5

25^ 8
25^ -15
5^ -3
5^ 2

Answers

5^2

Step-by-step explanation:

You just add the exponents

-3 +5 =2

Answer:

5^2 .............................

Step-by-step explanation:

-3 + 5 = 2

Simplified form of this expression 5z-8-4z-3z+6

Answers

Answer:

-2z-2

Step-by-step explanation:

5z-8-4z-3z+6

5z-4z-3z-8+6

-2z-2

Answer:

-2z -2

Step-by-step explanation:

5z-8-4z-3z+6

5z -4z - 3z +6 - 8

-2z -2

50 points!!! Please Help!!! Will give Brainliest!!!

Answers

THAT IS not 50 points, that is just 25 points

Answer:

okay but i dont see the problem

Step-by-step explanation:

It takes andre 4 minutes to swim 5 laps. At this rate heswims how many laps per minute.

Answers

Answer: It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 divided 4

4 times 1 = 4

5-4=1

put the decimal and make 1=10                           Ans.: 1.25

4 times 2 = 8

10-8=2

put the 0 = 20

4 times 5 =20

20-20=100

what is 2.898989... as a mixed number?

Answers

Answer:

2 89/100

Step-by-step explanation:

its 289/100 as an improper fraction

Keep in mind that 0.89 means 89/100.

Now apply the whole number 2.

We get 2_(89/100).

Which of the following expressions is equivalent to 18 m - 12?

A. 021-9 m+6)
B. -1(18 m +12)
C. 6(3 m - 2)
D. -3(-6 m - 4)

Answers

Answer:

C and D

multiply the 6 and -3 to the numbers inside the parenthesis

on Tuesday the Madison Avenue Hotel had 5 occupied rooms for every 2 unoccupied rooms. If there were 80 rooms occupied on Tuesday how many total rooms are there in the Madison Avenue Hotel?

Answers

Answer:

32

Step-by-step explanation:

if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2

(16)x2

32

you have a bill of $100. find a 10% tip?​

Answers

Answer:

10 bucks

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

10%=0.1

100*0.1=10

$10

Is the following relation a function?

Yes
or
No

Answers

Answer:

no

Step-by-step explanation:

not for sure tho

Emily went to the fair with $22.50. She spent $2.25 on food and wanted to spend the rest on rides which were $0.75. What is the maximum number of rides Emily can purchase?

Answers

19 rides.

2.25 + 0.75 = 3.00
22.50 - 3.00 = 19.50

though, you cannot pay half for a ride, so the answer is 19!!

Answer:

19

Step-by-step explanation:

2.25 + 0.75 = 3.00

22.50 - 3.00 = 19.50

Hope I helped!

The sum of three consecutive numbers is 84. What is the largest of these numbers?

26
27
28
29

Answers

Step-by-step explanation:

set 3 no is ,x _ I ,x,x+1

X-1 + x + x + I = 84

3 X = 84

X= 84/ 3

X= 2 8

largest no is 29

The largest number is 29.
Step-by-step explanation:
Let the numbers be = x , x+1 , x+2
As given, their sum is 84, we can write as:

=>
=>
=>
x = 27
So, x+1=
And x+2 =
Hence, the largest number is 29.

x squared - 7x-34=10 solve

Answers

When factorising find two number that multiply to make -44 and two numbers that add to make -7 (in this case).
So your answer is x=11 or x=-4

The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,  x = -4.

Here, we have,

given that,

the equation is: x squared - 7x-34=10

now, we have to solve this.

so, we have,

x squared - 7x-34=10

or, x²- 7x-34=10

or, x²- 7x - 44 = 0

or,  x²- 11x + 4x - 44 = 0

or, x(x-11) + 4(x-11)

or, (x-11) (x + 4) = 0

so, we get,

either , x = 11 or, x = -4

Hence, The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,

x = -4.

To learn more on equation click:

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Find the product. Enter your final answer as a simplified fraction.
1/4•4/5•5/6=

Answers

Answer:

I am sorry if I'm wrong, but I got 600 or 36000/60

Step-by-step explanation:

First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)

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