What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4

Answers

Answer 1

Answer:

[tex]y' = 5x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Required

The inverse relation

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Rewrite as:

[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]

Swap x and y

[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]

Multiply through  by 5

[tex]5x = y - 4[/tex]

[tex]y = 5x +4[/tex]

Rewrite the new function as:

[tex]y' = 5x + 4[/tex]


Related Questions

What’s the slope ?
Please help I’ll mark u as Brainliest

Answers

9514 1404 393

Answer:

  5/2 = 2.5

Step-by-step explanation:

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

Using the first two lines in the table, this is ...

  m = (10 -5)/(2 -0) = 5/2

The slope of the line is 5/2.

__

As a decimal, that is 2.5.

Which expression is equivalent to
(5^-2) (5^-1)?

A. -1/125

B. -1/5

C. 1/125

D. 1/5

Answers

Answer:

Step-by-step explanation:

C

What is the measure of A?
А [?] degrees
B 87
C 35

Answers

Answer:

B 87

Step-by-step explanation:

Answer: 58

explanation: Acellus

Help I need answers now

Answers

Answer:

The Answer in Exact Form:

-3/22

In Decimal Form:

-0.136

Step-by-step explanation:

-[tex]\frac{3}{2}[/tex]÷5[tex]\frac{1}{2}[/tex]=-3/22

A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale drawing are shown below. A rectangle has a length of 18 inches and width of 12 inches. [Not drawn to scale] Which method can be used to find the dimensions of the original rectangle? 18 minus StartFraction 5 over 8 EndFraction = 17 and StartFraction 3 over 8 EndFraction inches and 12 minus StartFraction 5 over 8 EndFraction = 11 and StartFraction 3 over 8 EndFraction inches StartFraction 5 over 8 EndFraction divided by 18 = StartFraction 5 over 144 EndFraction inches and StartFraction 5 over 8 EndFraction divided by 12 = StartFraction 5 over 96 EndFraction inches 18 times StartFraction 5 over 8 EndFraction = 11 and one-fourth inches and 12 times StartFraction 5 over 8 EndFraction = 7 and one-half inches 18 divided by StartFraction 5 over 8 EndFraction = 28 and four-fifths inches and 12 divided by StartFraction 5 over 8 EndFraction = 19 and one-fifth inches

Answers

Answer:

its dddddddddddddddddddddddd

Step-by-step explanation:

The method that can be used to determine the dimensions of the orginal rectangle is multiply the length and the width of the  scale drawing of rectangle by 8/5.

What is a scale drawing?

A scale drawing is smalleer image of a bigger diagram.The scale drawing is usually reduced at a constant dimension

The orginal dimensions can be determined by multiplyinf the dimensions of the scale drawing by 8/5

To learn more about scale drawings, please check: https://brainly.com/question/26388230

A certain type of legal proceeding has three possible outcomes: in favor of party A, in favor of party B, or not in favor of either party. The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively. A random sample of 40 cases is selected from a certain judge to investigate whether the judgeâs outcomes are consistent with the expected outcomes. A chi-square goodness-of-fit test is conducted, and the value of the chi-square test statistic is Ï2=9.19 with a corresponding pâvalue of 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the pâvalue?

a. There is a 1 percent chance that the company's claim is correct.
b. If the null hypothesis is true, there is a 1 percent chance that the company's claim is correct.
c. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19.
d. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.
e. There is a 1 percent chance of obtaining a chi-square value of at least 9.19.

Answers

The basically it tells us the chances of the claim being true

If we assume the null hypothesis is correct.

What is the method of chi-square test?

The Chi-Square Test of Independence determines whether there is an association between categorical variables.

We have given that,

The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively.

If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct.

The p-value tells us the likeliness of our data occurring under the null hypothesis.

Therefore ,basically it tells us the chances of the claim being true

If we assume the null hypothesis is correct.

To learn more about the chi-square method visit:

https://brainly.com/question/4543358

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

Step-by-step explanation:

Find the greatest common factor of 9n3 and 8n4.

Answers

Answer:

9 and 3 GCF is 3

8 and 4 GCF is 4

the GCF of 8,3,4,9 = 1

Step-by-step explanation:

answer.......pls NOW

Answers

Answer:

3. 224 cm3

4. 35 cm3

5. 60 cm3

Step-by-step explanation:

To find the volume you need to multiple the base times the height times the length.

someone please help with this question!! i will give you brainly if it’s right

Answers

Answer:

2000 ft

x= 175/ tan5 which is approximately 2000.

Which algebraic expression best represents the following verbal
description: Four more than the price, p?

Answers

Answer: I think it is 4+$p

Step-by-step explanation:

Please help me thank youuuu!​

Answers

It would be 16 16 the fourth sign which is less than or equal to and 80

Express using algebra A stick l feet long is broken into 2 parts one of which is twice as long as the other. How long is the shorter piece

Answers

Answer:

20 is the longer piece, and 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9

А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198

Answers

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

What is the ratio of the wavelengths of these two notes?
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 2 to 1

Answers

Answer:

d

Step-by-step explanation:

edge 2021

The ratio of the wavelength of the red note and blue note is 2 : 1.

What is wavelength?

Wavelength is the distance between two consecutive crest and troughs.

Mathematically, we can write wavelength as -

λ = c/ν

where -

λ : wavelength

ν : frequency

Given are the two notes as shown in the image.

For the red note, the distance between the consecutive crests is twice to that of the distance between the consecutive crests in case of blue note. We can write the ratio of the wavelengths as -

λ(R)/λ(B) = 2/1

Therefore, the ratio of the wavelength of the red note and blue note is 2 : 1.

To solve more questions on wavelengths, visit the link-

https://brainly.com/question/29213222

#SPJ2

The given spinner has equal sectors. If you spin the spinner, what is the sample space?
A. {3}
B. {1, 2, 3, 4
C. {1, 2, 3, 4, 5)

Answers

the other person their trying to get your ip

F(x)=8x sqrt(x-x^2) Find the exact maximum

Answers

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

x (3 - 4x) = 0

x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182

please state reasoning as to why it is what ever answer you provide..

Answers

Answer:

sorry id.k this im so sorry

Step-by-step explanation:

Answer:

10/91

Step-by-step explanation:

Jayda is watching a movie that lasts 1 hour and 37 minutes. She has watched 52 minutes so far. How many minutes are left in the movie? *

Answers

Answer:

45 minutes

Step-by-step explanation:

97-52 = 45

Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.

Answers

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:

Ms.Thompsons english class has 24 students. As a reward for their hard, she would like to give each student 4 pieces of candy since she only has 75 pieces of candy, she will need to buy more.. which of the following equations should she use to find p, the number of pieces she needs to buy (no websites)

Answers

what are the answer choices?

Please help, anything would be very much appreciated

Answers

Answer:

answer is 5.50

Step-by-step explanation:

multiply 2.75 times two because 3 by 5 is half of 9 by 15

The answer would be $8.25.

$2.75 — 3:5
$5.5 — 6:10
$8.25 — 9:15

The volume of this rectangular prism is 240 cubic centimeters. What is the surface area?

Answers

2 (d(h+w) + h w) is the surface area

Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

(a) For what value of c is f a probability density function?

(b) For that value of c, find P(1 < X < 3).

Answers

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1[/tex]

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

[tex]\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1[/tex]

which reduces to

c / 2 (0 + 1) = 1   →   c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

[tex]\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678[/tex]

Find the ratio of the areas.

Answers

9514 1404 393

Answer:

  3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

  small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

  small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

3
Delete
12
4
EVAN
8
15
Drag one value into each box to
make each expression equivalent
to 4x + 20.
20
(x + 5)
x + 3x + 5+
x + 40
2
7x -x + 25 - 5

Answers

Answer:

the answer to the problem is 4,15,8,3

2a^2 + 7 + 5b^3
when a = 2 and b= 3

Answers

Answer:

150

Step-by-step explanation:

2(2^2)+7+5(3^3)

2(4)+7+5(27)

8 + 7 + 135= 150

67 1/2% of what number of people is 135 people

Answers

Answer:

go to omnicalculator.com they have all sorts of calculators including one called a percent changer calculator

Step-by-step explanation:

What is the measure of angle X? Enter your answer as a decimal in the box. (Units are degrees - please only enter numbers in the box.) Round only your final answer to the nearest hundredth.

Answers

Answer:

81.20

Step-by-step explanation:

I took the test and got it right

Which two values of xare roots of the polynomial below?
5x^2-5x+1

Answers

Answer:

Step-by-step explanation:

Apply the quadratic formula.  The coefficients are {5, -5, 1}.  The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5.  This positive result tells us that this quadratic has two unequal, real roots.  These roots are:

     -(-5) ± √5       5 ± √5

x = --------------- = -------------

           10                  10

Step-by-step explanation:

can't factor so can use quadratic

5 +/- √(25-20)/10

(5+√5)/10

(5-√5)/10

Other Questions
Please help with yes or no Read the ad of the furniture store "La ideal" and decide whether each statement below isCierto - True or Falso - False."En nuestra tienda ests con amigos. Tenemos todo para la cocina o el comedor en laplanta baja. En el primer piso hay muebles para la sala; tenemos sofs, sillones,lmparas y mucho ms. En el segundo piso hay muchas cosas para el cuarto: camas,cmodas, escritorios y alfombras. En el tercer piso, hay muebles para el patio y el jardn,y en el cuarto piso puedes mirar los radios, los televisores y los videojuegos. Aqutenemos todo para escuchar tu msica favorita. Nosotros tenemos las cosas quenecesitas".1. La tienda tiene seis pisos.2. La tienda vende muebles para la casa.3. Las alfombras estn en el primer piso.4. En el cuarto piso encuentras los escritorios. What happened in Santa Fe on August 18, 1846? a. Stephen Kearney led soldiers into Santa Fe and claimed that were now American citizens. b. Stephen Kearney led soldiers into Santa Fe to secure New Mexico for Mexico. c. Stephen Kearney led soldiers into Santa Fe to suppress a revolt in Taos. d. Stephen Kearney told traders they were forced to rely on themselves for protection. Please select the best answer from the choices provided A B C D Guys help me on this which is the correct answer:(( Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Fitness LogBriefly describe what heat stroke does to the body and a situation where it's more likely to affect someone performing a physical activity. (Site 1)(BTW THIS IS THE FULL QUESTON) Match each definition to the appropriate term. a. The condition that a reaction takes place without outside help _________ b. Difference of the enthalpy (of a system) minus the product of the entropy and absolute temperature ________ c. Sum of the internal energy plus the product of the pressure and volume for a reaction _________d. The extent of randomness in a system __________ e. Solution in which no more solute can be dissolved in the solven ________1. Gibbs free energy 2. Spontaneity 3. Saturated solution 4. Entropy 5. Enthalpy A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute. Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.Cost of item: $52Selling price: $71.97 Phytoplankton are microscopic organisms that perform photosynthesis in oceans. When urban pollution runoff makes it to the oceans, it poses a threat to humans by killing numerous phytoplankton. How does reducing the number of phytoplankton most directly affect humans? O E. The atmosphere will contain more oxygen, resulting in warmer global temperatures. G. The atmosphere will contain more carbon dioxide, resulting in cooler global temperatures. H. The atmosphere will contain more oxygen, resulting in cooler global temperatures. O J. The atmosphere will contain more carbon dioxide, resulting in warmer global temperatures. WILL MARK BRAINLEST IF CORRECT!!! Find the lateral surface area of the prism below in square yards. What is the measure? To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS Solve the compound inequality and give your answer in interval notation 4x-4 < -36 OR -2x-1 -7 Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction Please I need help!! Please anyone that sees this could you please help me. I don't understand it. how to solve this? Is the question correct? ty :) How does the rate of a chemical reaction change if the concentration of both reactants increases 4 times?2NO + O2 2 NO2 Ill mark you if you get the right answer and I have another problem so if you can find it pls help! Look at pics below to answer the questions Mount Fuji is:located in Washington statea shield volcanoa stratovolcanolocated on Jupiter's moon, Io