what is the inverse f(x)=3x^3-4

Answers

Answer 1

Answer:

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

Step-by-step explanation:

y = 3x^3 - 4  ==> solve for x

y + 4 = 3x^3  ==> isolate x by adding 4 on both sides

(y + 4)/3 = x^3  ==> divide 3 into both sides

x = [tex]\sqrt[3]{(y + 4)/3}[/tex] ==> isolate x by taking the cube root on both sides

y = [tex]\sqrt[3]{(x + 4)/3}[/tex] ==> switch both x and y

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


Related Questions

C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation

Answers

Answer:

Ill help if u still need

Step-by-step explanation:

Write a whole number that round to 2000 if we are rounding to the nearest thousaand

Answers

Answer:2200

Step-by-step explanation:

Easy peesy lemon squezzy

1999 easy peasy lemon Squeezy

3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.

(a) Write an equation to determine the amount of substance, S, left after t years.

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

Answers

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.

Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.

Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.

Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.

Part D
Simplify the expression from part C to find the perimeter of the house in feet.

Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.​

PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.

Answers

Answer:

A)

Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.

Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.

Valerie measured 1 wall at 32 feet.

The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.

B)

Seth measured 1 wall at 3.5 feet.

Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.

Seth measured 1 wall at 58 feet.

The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.

C)

The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.

The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.

To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.

D)

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58

= 10 + 63.75 + 32 + 3.5 + 45.5 + 58

= 212.75

The perimeter of the house is 212.75 feet.

E)

The total length of Valerie’s walls is 105.75 feet:

(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.

The total length of Seth’s walls is 107 feet:

3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.

The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.

edmentum answers :)

For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?

Answers

Answer:

0.48688

Step-by-step explanation:

Let's solve your equation step-by-step.

d=(−0.306)(1.67)+0.9979

Step 1: Simplify both sides of the equation.

d=(−0.306)(1.67)+0.9979

d=−0.51102+0.9979

d=(−0.51102+0.9979)    (Combine Like Terms)

d=0.48688  

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.

AND

On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.

Answers

5. C
6. B
Steps on paper

5m - 4z + 8m + 3 – 2z

Answers

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

What is 4•(5+3)=4•8=

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

I hope this helps, and have a great day! :)

49/70 in its simplest form

Answers

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

Divide the product of 22 and 27 =

Answers

0.81 have a nice day !

bonjour,pouvez vous m’aider ;)
a. calculer DC
b.en déduire que ED =1,60 m
c.une fillette mesure 1,10 m

elle passe a 1,40m derrière la camionnette.
Le conducteur peut-il la voir ? expliquer


Données :
(AE) // (BD)
AE = 1,50 m
BD = 1,10 m
EC = 6 cm

Answers

Answer:

je suis super nul en math desolee

Identify the digit with the given place value. 0.27845 hundredths​

Answers

Answer:

7.

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

For example, in the number 0.27845;

The place value of 0 is units.The place value of 2 is tenths.The place value of 7 is hundredths. The place value of 8 is thousandths. The place value of 4 is ten thousandths. The place value of 5 is hundred thousandths.

Therefore, given the number 0.27845.

The digit representing hundredths in 0.27845 is 7.

H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5

Answers

Answer:

f(x)=x^(2),[2,3]

-2x-h+3

Step-by-step explanation:

Please please give answer

Answers

Answer:

A

Step-by-step explanation:

iTS JUST a

Answer:

Step-by-step explanation:

i cant see it

Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.

Answers

Answer:

9×7×12=756 is the dimensions

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

Answer: 700 dollars

================================================

Work Shown:

35% = 35/100 = 0.35

35% of 2000 = 0.35*2000 = 700

Since the card increased by 700 dollars, this means the card is now worth 2000+700 = 2700 dollars.

2(x+5)=3x+1
How do I solve this

Answers

Answer:

x = 9

Step-by-step explanation:

2(x+5)=3x+1

Distributive Property

2x+10=3x+1

Subtract 2x from both sides

10=x+1

Subtract 1 from both sides

9=x

Correct form: x=9

WILL MARK BRAINLIEST ASAP HELP (a-b)^2*x-y(b-a)^2

Answers

Answer:a2x2 + a2y2 + 2axy - b2x2 + 2b2xy - b2y2

Step-by-step explanation:

i hope it helps

Linda Pearl purchased a new computer for $3,500 using the stores installment credit plan. if he is required to make a 30% down payment and finances the remaining amount what is the total amount that he will finance

Answers

Answer:

$2450 is the remaining amount

Step-by-step explanation:

i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.

Answer:

2450

Step-by-step explanation:

70% of 2450

HELP! Question down below

Answers

Answer:

B. Both are correct

Step-by-step explanation:

The graph correctly shows y=2x and the table is right.

Answer:

Your answer is.....

Both are correct

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.

Answers

Answer:

In Python:

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

if exam >= project and exam >= lab:

   print("Highest Grade: "+str(exam))

elif project >= exam and project >= lab:

   print("Highest Grade: "+str(project))

else:

   print("Highest Grade: "+str(lab))

   

if exam <= project and exam <= lab:

   print("Lowest Grade: "+str(exam))

elif project <= exam and project <= lab:

   print("Lowest Grade: "+str(project))

else:

   print("Lowest Grade: "+str(lab))

   

print("\nGrades below 70")

if exam < 70:

   print("Exam: "+str(exam))

if project < 70:

   print("Project: "+str(project))

if lab < 70:

   print("Lab: "+str(lab))

   

print("\nAverage: "+str((exam+project+lab)/3))

if exam > 70 and project >70 and lab > 70:

   print("All grades are above 70")

Step-by-step explanation:

The next three lines get input for exam, project and lab

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

This condition checks if exam is the highest grade

if exam >= project and exam >= lab:

If true, exam is printed as the highest grade

   print("Highest Grade: "+str(exam))

This condition checks if project is the highest grade

elif project >= exam and project >= lab:

If true, project is printed as the highest grade

   print("Highest Grade: "+str(project))

If otherwise

else:

lab is printed as the highest grade

   print("Highest Grade: "+str(lab))

This condition checks if exam is the lowest grade    

if exam <= project and exam <= lab:

If true, exam is printed as the lowest grade

   print("Lowest Grade: "+str(exam))

This condition checks if project is the lowest grade    

elif project <= exam and project <= lab:

If true, project is printed as the lowest grade

   print("Lowest Grade: "+str(project))

If otherwise

else:

lab is printed as the lowest grade

   print("Lowest Grade: "+str(lab))

   

This prints the header "Grades below 70"

print("\nGrades below 70")

This checks if exam is below 70.

if exam < 70:

If true, exam score is printed

   print("Exam: "+str(exam))

This checks if project is below 70

if project < 70:

If true, project score is printed

   print("Project: "+str(project))

This checks if lab is below 70

if lab < 70:

If true, lab score is printed

   print("Lab: "+str(lab))

   

This calculates and prints the average

print("\nAverage: "+str((exam+project+lab)/3))

This checks if all three scores are above 70

if exam > 70 and project >70 and lab > 70:

If true, the the message that all are above 70, is printed

   print("All grades are above 70")

Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?

Answers

Answer:

a.) 0.115

b.) 0.087

Step-by-step explanation:

Given,

P(A) = 20% = 0.20

P(B) = 30% = 0.30

P(C) = 50% = 0.50

Let M - major repairing during first year

P(M/A ) = 0.05

P(M/B) = 0.10

P(M/C) = 0.15

a.)

P(M) = P(M∩A) + P(M∩B) + P(M∩C)

       = P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)

      = (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)

     = 0.01 + 0.03 + 0.075

     = 0.115

⇒P(M) = 0.115

b.)

P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)

                                     = (0.05)(0.20) / 0.115

                                     = 0.01 / 0.115 = 0.087

⇒P(A/M) = 0.087

PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY​

Answers

Answer:

Step-by-step explanation:

5.  You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.

You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.

Use the coordinates of the points to determine the slope of the line.

slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3

The slope-intercept equation of the line is  y = 3x+1

:::::

7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.

One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?

Answers

Answer:

the 8 for 9.25

Step-by-step explanation:

that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple

in math what does the word "of" mean

Answers

Answer:

Multiplication

Step-by-step explanation:

The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!

Answer:

"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".

Step-by-step explanation:

Yw. Plz mark brainliest

HELPPP PLS ILL GIVE BRAINLESS DIE SOON

Answers

Answer:

C nnnnnnnnñnnnnn

Step-by-step explanation:

That is the answer C

the answer is C for this problem

Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions

Answers

Answer:

you gonna answer it

Step-by-step explanation:

Because that's yours book

Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

P=H(8)

Step-by-step explanation:

P equals Pay.

H equals Hours.

Gorans pay is whatever his hours are times 8.

P=H(8)

I hope this helps!

6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10​

Answers

Answer:

The answer is 1/10

Step-by-step explanation:

Other Questions
Solve the IVP d^2y/dt^2 - 6dy/dt + 34y = 0, y(0) = 0, y'(0) = 5 The Laplace transform of the solutions is L{y} = By completing the square in the denominator we see that this is the Laplace transform of shifted by the rule (Your first answer blank for this question should be a function of t). Therefore the solution is y = Iraqi CurrencyAfter the invasion of Iraq and the removal of Saddam Hussein, a provisional government was established to help get the country back on its feet. As part of the process, the government had to revise the country's monetary system and currency, which created a crisis for the Iraqi dinar.No matter what a particular society uses for money, its primary purpose is to enable a person or organization to transform a desire into an action. These desires may be for entertainment actions, such as party expenses; operating actions, such as paying for rent, utilities, or employees; investing actions, such as buying property or equipment; or financing actions, such as starting or growing a business. Money serves three important functions: as a medium of exchange, a measure of value, and a store of value.Read the case below and answer the questions that follow.After the invasion of Iraq and the removal of Saddam Hussein, a provisional government was established to help the country to get back on its feet. Part of the process of establishing a new Iraqi government involved revising its monetary system and currency. The government released a new form of the Iraqi dinar (IQD into circulation after it was redesigned and Saddam Hussein's picture was removed. The new bills were also printed in different colors that were more difficult to counterfeit than the currency from the old regime. More than 10,000 tons of old notes were destroyed after the circulation of the new currency.Since about 1,160 dinars equal 1 U.S. dollar, the new dinar is printed in denominations of 50, 250, 1,000, 5,000, 10,000, and 25,000. When the currency was redesigned, small denominations were more popular because many retailers would not accept larger notes as payment, in part because of rumors that banks in Iraq would no longer accept 10,000 dinar notes. Therefore, the country had to print millions of 250 dinar notes so that Iraqi citizens could spend money to help revive the country's economy.Although some Iraqis would like to tie the dinar to the U.S. dollar, few governments have been able to take this approach without major drawbacks. If the dinar is fixed to the U.S. dollar, the country could suffer even more instability when the U.S. dollar varies against other currencies. Of course, there is the concern that tying the dinar to the U.S. dollar might also confirm the U.S. is involved in imperialism. Ultimately, the dinar must become a symbol that the Iraqi people can trust.1.Iraqi's financial system can best be described as one based on _____.a fiat system"IOUs" that people tradelimited-supply commoditieslinked to gold and other precious metals2.Many retailers would not accept large denominations. The retailers were concerned about which of the following functions of money?Store of valueMeasure of valueMedium of exchangeDivisibilityPortability3.Tying the dinar to the U.S. dollar might cause the value of the dinar to fluctuate with the value of the dollar. This causes issues with which of the following characteristics of money?StabilityAcceptabilityPortabilityDivisibilityDurability4.The new dinars were printed in color. This addressed which of the following characteristics of money?Difficulty to counterfeitAcceptabilityForeign exchange rateStabilityPortability5.Which of the following most likely explains why Iraq adopted a new monetary system?It was necessary to build confidence in the dinar for it to remain as a store of value.People were trading items that were no longer needed.There were concerns about the portability of the old system.There needed to be a new system with better divisibility.The old system used materials that weren't very durable. a. a dominant firm might employ a fast-second strategy because it is confident that Which type of comprehension focuses on the understanding of words and the use of words?Lexical Applied Affective Interpretive how many atoms of chlorine are present in 2.42 grams of boron trichloride, bcl3 18. The vertices of triangle DEF are D(1, 19),E(16, -1), and F(-8, -8). What type of triangle is triangle DEF?A rightB equilateralC isoscelesD scalene horizontal partitioning is implemented by placing some rows of a table at one site and other rows at another site. T/F If the government ran a major budget deficit, and there was no noticeable effect on the level of GDP, this could be taken as evidence of hyperinflation structural deficit crowding-out monetary policy ineffectiveness consider the following curve. r2 cos(2) = 64 write an equation for the curve in terms of sin() and cos(). which compound should be coupled with 3-bromotoluene to synthesize this compound, using the suzuki coupling reaction? A clearance rack has items for 75%off. Harriet uses the expression 0. 75to find the new price of an item that originally cost dollarsUse the drop-down menus to complete each sentenceThe expression 0. 75p can be simplified to. (choices -1. 75, 1. 75, 0. 25)This means Harriet can find the new price of an item by finding (-175, 175,25) of the original price Given the DTD:]>Which of the following is a well-formed and valid XML file according to the given DTD:A. Heart FoodB. Heart FoodC. Heart FoodD. Heart FoodE. None of the above.What is the minimum number of fruits (i.e., nested ELM) in the :Zero.OneTwo.Three.No limit. A substance is always soluble in water and its solubility is not affected by temperature. Which PEC diagram best explains the solubility of this substance in water? M = Mixed state, UM - Unmixed state Help me please!! Find the surface area of the cone. what is the simplest form of 4m-17/m^2-16+3m-11/m^2-16 assuming no denominator equals zero A. 7/m+4 B. 7m/m+4 C. 7/m-4 D. 7m-6/m^2-16 which best describes elements that are shiny, malleable, ductile, and good conductors of heat and electricity? When solar winds send particles which cause gases to glow, which of the following occurs on Earth? A. a thunderstorm B. the Coriolis effect C. an aurora D. a power surge For a country, its national output or income (Y) follows a Cobb-Douglas function as below. For example, the function in 2021 is Y_2021=2K^ L^(1-). Here K indicates total capital input and L is total labor input. And we have = 0.5. (a) What is the share of capital and labor of total national income? If K is 64 and L is 121, how much is the total output in 2021? (b) In 2021, if both capital (K) and labor (L) inputs increased 100%, then how much national output (Y) will change, as in percentage? (c) In 2022, the government introduced tax credits for overseas investors. Thus, more capital is available in the market. At the same time, new technology has greatly improved production efficiency. So the Cobb-Douglas function in 2022 becomes Y_2022=2.2(1.44)^ L^(1-). Then, how much GDP has grown in 2022 compared with the year before (assume is the same value). given what you've learned how would you distinguish between convergent boundaries both subduction zones and continential collision A ramp with a mechanical advantage of 8 lifts objects to a height of 1. 5 meters. How long is the ramp