Find the inverse of the function, f(x)=5(x-4)^3 +6
trade x and y

Answers

Answer 1

Answer:

y=[(x-6)/5]^(1/3)+4

Step-by-step explanation:

f(x)=5(x-4)^3 +6

trade x and y

x=5(y-4)^3 +6

x-6=5(y-4)^3

(x-6)/5=(y-4)^3

[(x-6)/5]^(1/3)=y-4

y=[(x-6)/5]^(1/3)+4


Related Questions

Courtney got 64 out of 75 correct on a test. What is the best estimate of the
percent Courtney got correct?

A 64%
B 75%
C 85%
D 117%

Answers

It’s 85

64
—- x 100% = 85.3333333333
75

A produce box can hold no more than 25 pounds of potatoes.
a. Write and graph an inequality to represent this situation.
b. Is 9.8 a solution of the inequality?


Best answer get brainless

Answers

Yes 9.8 as a solution

sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?

Answers

Answer:

8.2

Step-by-step explanation: i think its 8.2

i dont know tho

The sprinter's speed before he increased his speed is 8.2 miles per hour.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Here, Change in Speed = 14.8 miles per hour

          Top speed = 23 miles per hour

Actual old Speed = Top Speed - increased speed

                              = 23 - 14.8

                              = 8.2 miles per hour

Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.

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PLS HELP ME I WILL GIVE BRAINLIEST!

Topic: solving word problems involving linear equations in one variable .

If a number is added to 4 less than 5 times itself, the result is 27. Find the number.​

Answers

Answer:

4-5x+x=27

Step-by-step explanation:

5x+x =27+4

=5x+x=31

x+x=31/5

2x=31/5

2x=6.2

x= 6.2/2

x=3.1

what is the surface area of the figure below ​

Answers

Answer:

54 ft

Step-by-step explanation:

So... the volume is length x width x height = volume.

So... 6 x 3 x 3 = 54 ft

Hope this helps =]

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.
What is the length of the radius of circle A?
A. 24 units
B. 48π units
C. 10 units
D. 4v3 units

Answers

Answer: i think the answer is B or C sorry

Step-by-step explanation:

have a nice day

The length of the radius of circle A is 24 units. The correct answer would be an option (A).

What is an arc?

The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.

As per the question, we have

Arc length BC = 20π units and θ = 150°

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

Substitute the known values, and we get

20π = 2πr (150/360)

10 = r (5/12)

r = 120/5

r = 24

Thus, the length of the radius of circle A is 24 units.

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Find an equation for the slant asymptote of y=
- 323 – 622 + 6x + 3
9x2 8
Submit Question

Answers

Answer:

Step-by-step explanation:

Slant asymptote is y = - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

How many times can 45 go into 7,200?

Answers

Answer:

160

Step-by-step explanation:

divided 7200 by 45 to get 160

find the value of x
x<-1 and x>1

Answers

Answer:2

Step-by-step explanation: pretty simple, trust me :)

NEED HELP MY GRADE DEPENDS ON THIS!!!

Given that the lines are parallel, SHOW WORK to solve for x.

Answers

28x - 2 = 26x + 6
2x = 8
x = 4

Can someone help me solve this I don’t understand
-2y + 10 + 2y – 8

Answers

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2


Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3

Answers

Answer:

[tex](g\cdot f) = -3x^2-3[/tex]

Step-by-step explanation:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = -3[/tex]

The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.

We actually want to calculate

[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]

Note

[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]

pls help me I'm stuck on this one too​

Answers

t=11
explanation: we know that the perimeter is 29cm and one of the sides is 7cm so you subtract 7 from 29 to get 22 and since both of the other sides are equal you would divide it by 2. 22/2=11

Answer:

the answer is 11

I hope it helps

have a nice day

#Captainpower

The diameter of a peacan pie is 7 inches. What is the circumference?

Answers

Answer:

21.98/C

Step-by-step explanation:

The equation for circumference is pi(d).

so 3.14*7 is about 21.98

The actual weight of a 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given the information, the probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.​

Answers

Answer:

False

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.

This means that [tex]\mu = 2.04, \sigma = 0.25[/tex]

The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.​

We have to find 1 subtracted by the vpalue of Z when X = 2.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.4 - 2.04}{0.25}[/tex]

[tex]Z = 1.44[/tex]

[tex]Z = 1.44[/tex] has a pvalue of 0.9251

1 - 0.9251 = 0.0749

The probability is 0.0749, which means that the answer is False.

Can I get some help on these two

Answers

9514 1404 393

Answer:

  cone: 138.16 in²

  pyramid: 352 m²

Step-by-step explanation:

Use the appropriate formula from your list of area and volume formulas.

Area of a Cone

  A = πr(r +h) . . . . . where r is the radius and h is the slant height

The radius is half the diameter, so is 4 inches.

  A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²

__

Lateral Area of a Square Pyramid

  A = 2sh . . . . . where s is the side length of the base and h is the slant height

  A = 2(8 m)(22 m) = 352 m²

Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?

Answers

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

4/5 times 40 =
1/6 times 48=
5/8 times 64=

Answers

Answer:

4/5 times 40 = 32

1/6 times 48= 8

5/8 times 64= 40

Step-by-step explanation:

Hope this helps chu! Credit to the person below as well!

Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees

Answers

Answer:

4) overdraft fees

Step-by-step explanation:

if she now has a negative balance then she owes money to the couch store

Answer:

Overdraft fees

Step-by-step explanation:

An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".

URGENT IM POSTING THE PICTURE AS TGE QUESTION

Answers

Answer:c

Step-by-step explanation:

you are correct :))))))))))

By how much is 11/3 and 11/5 less than 7​

Answers

Answer:

Step-by-step explanation:

11/3 + (7 - 11/5)

LCM of 3 and 5 is 15 so we have

55/15 + (105/15 - 33/15)

= 160/15 - 33/15

= 127/15.

HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.

Answers

Answer:

20 happy to helPNMNJHUJN

Step-by-step explanation:

Sales tax charged for a wallet was $2.45. The tax rate is 0.05%. Find the cost of the wallet. Show your work, show all of your steps.

Answers

Answer:

50

Step-by-step explanation:

1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?

Answers

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

What is Surface Area of a shape ?

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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20.) Which inequality represents the solution on the graph?*

Answers

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

.[tex]3x \geq -9\\x \geq -3[/tex]

doesn't match

2.

[tex]-7x\geq 21\\x\leq -3[/tex]

Does match, so this is the answer.

IPLEASE HELP I DONT UNDERSTAND

Answers

Answer:

28.86

Step-by-step explanation:

It's the Pythagorean theorem just relearn it and you should be fine

HELLLLP WILL GIVE BRAINLIEST.

Answers

Answer:

day 1 I think

Step-by-step explanation:

jjdjdjjdjdjdnndnsnsnxjxjjdk

Answer:

Day 1 :)

Step-by-step explanation:

Bo is making a step stool for his bathroom sink that is shaped like a rectangular prism.
What is the total surface area of the step stool?

Answers

it’s D
2+0.45+3= 5.45ft^2

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

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