HURRY ASAP ?!?!?!?!?!?!?!?Which of the following is the inverse of

HURRY ASAP ?!?!?!?!?!?!?!?Which Of The Following Is The Inverse Of

Answers

Answer 1

Answer:

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Required

Determine the inverse

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Replace f(x) with y

[tex]y = 5(x - 2)^3 + 4[/tex]

Swap the positions of x and y

[tex]x = 5(y - 2)^3 + 4[/tex]

Make y the subject

[tex]x -4= 5(y - 2)^3[/tex]

Divide by 5

[tex]\frac{x -4}{5}= (y - 2)^3[/tex]

Take cube roots of both sides

[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]

Add 2 to both sides

[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]

[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]


Related Questions

Find the volume of each shape.

Answers

Answer:

Step-by-step explanation:

The probability distribution for a
random variable x is given in the table.
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x < 0

Answers

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

here's my work please help me​

Answers

Answer: The answer is C

Step-by-step explanation:

Answer:

the answer is C.

find the area of the figure use 3.14

Answers

Answer:

466.08 m²

Step-by-step explanation:

The figure is composed of a triangle and a semicircle.

Therefore,

Area of the figure = area of the triangle + area of the semicircle

= ½*b*h + ½*πr²

Where,

b = 24 m

h = 20 m

π = 3.14

r = ½ of 24 m = 12 m

Substitute each value into the equation

Area of the figure = ½*24*20 + ½*3.14*12²

= 240 + 226.08

= 466.08 m²

Lesson 10 Problem Set 5•3
FONY OF UNITS
3. Darren bought some paint. He used 2 gallons painting his living room. After that, he had 3 - gallons left.
How much paint did he buy?
PLS HELP

Answers

Answer:

I think 5 gallon painting

Item 9
Find the surface area of the prism.

Answers

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.

Tonys birthday is 20 days befor anns anns birthday is 7 days after vics vics birthday is on the 20th when is tonnys birthday

Answers

Answer:

the 7th

Step-by-step explanation:

Answer:

the 27th

Step-by-step explanation:

Tonnys birthday is on the 27th

At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.

1. Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.​

Answers

Answer: 25 minutes

Step-by-step explanation:

A car is driving towards home at 0.5 miles per minute. If the car is 4 miles from home at t=0 , which of the following can represent the distance that the car has left to drive? Explain your reasoning.
A. 0.5t
B. 4+0.5t
C. 4-0.5t
D. 4(0.5t)

Answers

The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

What is speed?

The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.

For the given situation,

The speed of the car,S = 0.5 miles per minute

Let the time be t.

Let the distance be D.

The distance between the car and the home = 4 miles.

The formula that relates speed, distance and time is

[tex]Speed=\frac{Distance}{time}[/tex]

⇒ [tex]Distance=(Speed)(time)[/tex]

Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as

⇒ [tex]D=4(0.5t)[/tex]

Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

Learn more about speed, distance and time here

https://brainly.com/question/2004627

#SPJ2

The commutative property changes the _____ of two addends or factors.

Answers

the communtative property chages the grouping
Grouping so that it stay the same

A cube has an edge length of 12 meters. What is its volume, in cubic meters?
meters
3

Answers

Answer:

1728

Step-by-step explanation:

if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.

Come I need answers

Answers

67, 79, 81, 83, 83, 85, 87, 88, 89 then find the bumber in middle so answer is 83

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x^2 + 7x + 14), [−4, 1]

Answers

Find the stationary points of the function (where the derivative is zero):

f(x) = ln(x ² + 7x + 14)

→   f '(x) = (2x + 7) / (x ² + 7x + 14)

The denominator is always positive, since

x ² + 7x + 14 = (x + 7/2)² + 7/4 ≥ 7/4 > 0

so f '(x) = 0 when

2x + 7 = 0   →   x = -7/2

at which point f (-7/2) = ln(203/4) ≈ 3.927.

Also check the endpoints of the given domain:

f (-4) = ln(2) ≈ 0.693

f (1) = ln(22) ≈ 3.091

Then on the interval [-4, 1], we have max(f ) = ln(203/4) and min(f ) = ln(2).

Solve similar triangles (advanced)
Solve for x
x=?


Answers

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

PLS HELP I WILL REWARD BRAINIEST

Answers

Answer:

1/3 divided by 4

Step-by-step explanation:

Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3

So the answer is 1/3 divided by 4

please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)

Answers

Answer:

6.96 is the area of this triangle! So, option A is correct.

Hope this helps and please mark brainliest!

Help please! 50 points! Troll answers WILL be reported

Answers

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

FInd the area of the polygon

Answers

Answer:

A = 14 units ²

Step-by-step explanation:

Hello There!

The polygon shown is a triangle

The first step is to find the formula for area of a triangle

[tex]A=\frac{1}{2} bh[/tex]

where b = base and h = height

the following dimensions are given

base = 7 and 4 = height

so all we have to do is plug in the values into the formula

[tex]A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14[/tex]

so we can conclude that the area of the polygon is 14 units ²

Answer:

area of polygon =area of TRIANGLE =

1/2 base×height =1/2×7×4=14 units²

please answer all the questions for 25 points and for brainliest if not answer correctly will report

Answers

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

1. The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school? A) 12 yards B) 1760 yards C) 5280 yards D) 7040 ​

Answers

Answer:

D. 7040 yards

Step-by-step explanation:

I think it’s 7040 yards but k don’t know

2) If 3/5 of students carry an iPhone, what fraction of students is this using 75 as the denominator

Answers

Answer:

45/75

Step-by-step explanation:

75/5 = 15

15x3 = 45

PLEASE HELP ME, THIS MEANS EVERYTHING TO ME ITS APART OF MY FINALS.❗


The ages of students who play racquetball at a school are shown in the histogram below.



How many students play racquetball at the school?
A.
60
B.
51
C.
54
D.
57

Answers

Answer:

Uhhhh... 54?

Step-by-step explanation:

Just add them together.

“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.

Answers

Answer:

Step-by-step explanation:

It is easy to see that (-2, 0) and (0, -4) are points on the line.

gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) =  -2

expand and simplify (2x + 3) (3x - 1)​

Answers

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:



PLZ PLZ PLZ HELPPPP

Answers

Answer:

LCD is 6

first choice

Step-by-step explanation:

least common denominator of 2 and 3 is 6

The graph below shows the solution for a series of two equations. The first equation is y = -7x - 3. What is the other equation
shown on the graph?

Answers

Y=0 or the horizontal line could be described as undefined since it had no slope

it a tets please help it due today​

Answers

You can use a calculator that’ll plug the numbers in just type fractions calculator

Triangle DIG is reflected across the l-axis.
O (x, y) --> (-x, y)
O (x, y) --> (-X, -y)
(x, y) --> (y,x)
O (x,y) --> (x,-))

helpp its for a timed assignment

Answers

there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.

IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)

This meant that for reflecting across the x axis, (x,y)->(x,-y)

For y axis its the opposite, just flipping to the side.

This meant that for reflecting across the y axis, (x,y)->(-x,y)

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?

Answers

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry ​

Answers

Answer:

12

Step-by-step explanation:

First,

Add 45+52+15

Then the answer will be 112

Then -(minus) from 100

Answer:

18 students

Step-by-step explanation:

45 - 15 = 30 students only read physics

52 - 15 = 37 students only read chemistry

15 students read both

add all of them:

30 + 37 + 15 = 82

subtract the sum from 100

100 - 82 = 18

18 students doesn't study neither

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