Find the inverse function in slope-intercept form (mx+b): f(x)= −2x−4

Answers

Answer 1

The inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2

What is the inverse function?

A function that can change into another function is referred to as inverse. In other words, the inverse of any function "f" will take y to x if it takes x to y in the first place. If a function is written as "f" or "F," the inverse function is written as "f⁻" or "F⁻."

What is slope-intercept form?

The slope-intercept form of a straight line is used to find the equation of a line.

Here,

A function is given to us and we need to find the inverse of the function in slope-intercept form. The given function is,

f(x)= −2x−4

Let assume that y = f(x), then

y = -2x - 4

Now interchange the positions of x and y, and we get

x = -2y - 4

Solve this equation for y in terms of x,

Adding 4 on both sides, we get

x + 4 = -2y

After, dividing both sides by 2, we get

x/2 + 2 = -y

-x/2 - 2 = y

Now replace y with f⁻(x)

f⁻(x) = -x/2 - 2

Hence, the inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2

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Related Questions

x What does the figurative language in paragraph 2
help the reader understand about the pencil?
X
A The pencil is looking for its
eraser in the classroom
B The pencil longs for the day
when it gets another eraser
C The pencil is membering back
to when it had an eraser
D The pencil no longer has an
eraser on the end

Answers

The use of this figurative language helps to convey the theme of how memories can be fleeting and easily forgotten over time.

In paragraph 2, the author uses the figurative language of an "eraser on the end" to describe how time seems to fade away certain memories. The eraser is a symbol for forgetfulness, and the fact that it is on the end of something suggests that it is far away and difficult to reach.

This can be seen as a metaphor for how certain memories can become distant and hard to recall as time goes on.

Additionally, the eraser symbolizes how memories can be altered or erased entirely over time, much like how an eraser can remove pencil marks from paper.

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A science club is raising money by selling t-shirts. The cost of producing the t-shirts is a one time 550 dollar design and set up fee plus 12
dollars per shirt. If they sell the t-shirts for $17.50 each, what is the minimum number of t-shirts the club can order and still make a profit?

Answers

Answer: not sure

Step-by-step explanation:

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan? $13.44 $134.37 $1,343.69 $4,875.05

Answers

Answer: 4,875.05

Step-by-step explanation:

I took the quiz

Answer:

d

Step-by-step explanation:

Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3

Answers

Answer:

Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of 1.08%.

Answers

Given

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

Solution

\(\begin{gathered} \text{Expected value range =9.84}\pm1.08 \\ \text{minimum =9.84-}1.08=\text{ 8.76} \\ Maximum\text{ = 9.84+}1.08=10.92 \\ \therefore\text{The minimum expected =E 8.76\%} \end{gathered}\)

The final answer

The minimum expected is 8.76% Euros

Using a standard deck of cards, what is the probability you will
select a spade, then a red card?
a) with replacement:
b) without replacement:

Answers

a) With replacement:

When selecting a card with replacement, it means that after each selection, the card is returned to the deck before the next selection. Since each selection is independent, the probability of selecting a spade and then a red card can be calculated by multiplying the individual probabilities.

Probability of selecting a spade: There are 13 spades in a standard deck of 52 cards, so the probability of selecting a spade is 13/52.

Probability of selecting a red card: There are 26 red cards (13 hearts and 13 diamonds) in a standard deck of 52 cards, so the probability of selecting a red card is 26/52.

To find the probability of selecting a spade and then a red card, we multiply the probabilities:

P(spade, then red with replacement) = (13/52) * (26/52) = 338/2704 ≈ 0.125.

b) Without replacement:

When selecting cards without replacement, it means that the card is not returned to the deck after each selection. This affects the probability calculation since the size of the deck changes with each selection.

Probability of selecting a spade: There are 13 spades in a standard deck of 52 cards, so the probability of selecting a spade on the first draw is 13/52.

Probability of selecting a red card: After selecting a spade, there are 51 cards remaining, out of which 26 are red. So the probability of selecting a red card on the second draw, without replacement, is 26/51.

To find the probability of selecting a spade and then a red card without replacement, we multiply the probabilities:

P(spade, then red without replacement) = (13/52) * (26/51) ≈ 0.127.

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The midpoints of the sides of a triangle are located at (a, 0),(2 a, b) and (a, b). If one vertex is located at the origin, what are the coondinates of the other vertices? Explain your neasoning.

Answers

The coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

From the data, we can draw a triangle as shown in the attached picture.

Let the coordination of B is at (0, 0)

The coordinate of point A:

A(x, y):

a = (x + 0)/2

x = 2a

y = 2b

A(x, y): (2a, 2b)

The coordinate of point C:

C(X, Y):

2a = (X + 2a)/2

4a = X + 2a

X = 2a

b = (Y + 2b)/2

Y = 0

Thus, the coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

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The midpoints of the sides of a triangle are located at (a, 0),(2 a, b) and (a, b). If one vertex is

in the solow model, if f(k) = 2 k0.5, s = 0.25, n = 0.1, and d = 0.4, what is the value of k at equilibrium

Answers

The value of k at equilibrium is 1.
In the Solow model, the equilibrium level of capital per worker (k*) occurs when the change in capital per worker is zero. This can be found by setting the investment per worker equal to the effective depreciation.

Given that the production function is f(k) = 2k^0.5, the saving rate is s = 0.25, the population growth rate is n = 0.1, and the depreciation rate is d = 0.4, we can find the equilibrium value of k as follows:

Step 1: Calculate investment per worker (I)
I = s * f(k) = 0.25 * 2k^0.5 = 0.5k^0.5

Step 2: Calculate effective depreciation per worker (Dep)
Dep = (n + d) * k = (0.1 + 0.4) * k = 0.5k

Step 3: Set investment per worker equal to effective depreciation per worker to find the equilibrium value of k
0.5k^0.5 = 0.5k

Step 4: Solve for k
Divide both sides by 0.5:
k^0.5 = k

Square both sides:
k = k^2

Rearrange the equation to solve for k:
k^2 - k = 0
k(k - 1) = 0

There are two possible solutions for k: k = 0 and k = 1. However, k = 0 is not a meaningful solution in the context of the Solow model, so the equilibrium value of k is:
k* = 1

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find the area please​

find the area please

Answers

144 I believe. You multiply length times width

Kiran is going to invest in an account paying an interest rate of 5.3% compounded daily. How much would Kiran need to invest, to the nearest dollar, for the value of the account to reach $138,000 in 12 years?

Answers

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:
A = the final amount
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years

In this case, A = $138,000, r = 0.053 (5.3% as a decimal), n = 365 (daily compounding), and t = 12.

So we can plug in these values and solve for P:

$138,000 = P(1 + 0.053/365)^(365*12)

$138,000 = P(1.0053)^4380

P = $138,000 / (1.0053)^4380

P ≈ $59,073

So Kiran would need to invest approximately $59,073, rounded to the nearest dollar, for the value of the account to reach $138,000 in 12 years with daily compounding at a 5.3% interest rate.

Answer:

Step-by-step explanation:

Answer = 73,061

There are 65 ounces of flour in the bag how many pounds is 65 ounces

Answers

Answer:

4.0625 lbs

Step-by-step explanation:

16 ounces per pound

Divide 65 by 16 to get your answer

Answer:

4 1/16 pound

Step-by-step explanation:

One pound is 16 ounces.

65/16 = 4 1/16 pounds.

PQ has endpoints P(5, -3) and Q(2, 4).
Midpoint:

Answers

(5+2)/2 =3.5
(-3+4)/2=0.5
(3.5, 0.5)

PLZ HELP ASAP I WILL GIVE BRAINLIEST
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below the question.

Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A. 82/3.28

B. 4/3.28

C. 4/0.68

D. 82/0.68

PLZ HELP ASAP I WILL GIVE BRAINLIESTThe means and mean absolute deviations of Sidneys and Phils grades

Answers

Answer:

B.

Step-by-step explanation:

Answer:

B.

StartFraction 4 over 3.28 EndFraction

Step-by-step explanation:

in a recent study, the centers for disease control and prevention reported that diastolic blood pressures of adult women in the united states are approximately normally distributed with mean 80.2 mmhg and a standard deviation of 9.6 mmhg. round the answers to four decimal places. a diastolic blood pressure greater than 90 mmhg is classified as hypertension (high blood pressure). what proportion of women have hypertension?

Answers

The area to the right of the z-score 0.0833 is approximately 0.4671

To calculate the proportion of women with hypertension (diastolic blood pressure greater than 90 mmHg), we can use the standard normal distribution.

Given:

Mean (μ) = 80.2 mmHg

Standard deviation (σ) = 9.6 mmHg

We need to calculate the z-score for the threshold value of 90 mmHg, and then find the area under the standard normal curve beyond that z-score.

The z-score formula is:

z = (x - μ) / σ

Plugging in the values:

z = (90 - 80.2) / 9.6

z = 0.8 / 9.6

z ≈ 0.0833

Using a standard normal distribution table or a calculator, we can find the area to the right of this z-score, which represents the proportion of women with diastolic blood pressure greater than 90 mmHg.

The area to the right of the z-score 0.0833 is approximately 0.4671.

Therefore, approximately 0.4671 (or 46.71%) of women have hypertension (diastolic blood pressure greater than 90 mmHg).

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PLS HELP ME
XXXXXXXXX


PLS HELP MEXXXXXXXXX

Answers

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

Find each product:
7. (-7)(-7)
8. -15(9)
9.(8)(-12)
10. -3(-100)
11. 0(-153)
12. -6(32)

Answers

Answer:

7. 49

8. -135

9. -96

10. 300

11. 0

12. -192

. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.

Answers

(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white

​(b)14 outcomes.

What is sample space?

There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.

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___ + 142 + 308 = 450

Answers

Answer:

it would be 0 cause 142 and 308 already equal 450

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

450 - (142 + 308) = 0. ) is the answer.

Hope it helps!

How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3

Answers

Answer:

C

Step-by-step explanation:

C because 4/8 = 1/2................................

Solve the equation :
7:x=2:3

Answers

Answer:

x=8

Step-by-step explanation:

Since 7-2 is 5, that means that both sides are increasing by 5.

3+5 = 8 so therefore 8 =x

There is how you solve your question. Bye now!
Solve the equation : 7:x=2:3

Which group of ordered pairs are on the line giving by the equation 5x-2y=6

Answers

Answer:

There are an infinite number of pairs.

Step-by-step explanation:

You can solve the equation by isolating y on one side.

1. Subtract 5x from both sides

=

-2y = 6 - 5x

2. Get rid of the -2 on y to isolate y. Divide both sides by -2.

=

y = (6-5x)/2 or: y = -2.5x + 3

3. You can then put any x value into the equation and solve for an ordered pair.

EXAMPLE:

x = 0

1. y = -2.5(0) + 3

2. y = 0 + 3   or    y = 3

You could then put it into an ordered pair. The x value goes first (0, y) and then the y value (0, 3), so your answer is really just ARL (all real numbers)

Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1

Answers

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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EASY LOOKING FOR ANSWER HELP

EASY LOOKING FOR ANSWER HELP

Answers

Answer:

I forgot the answer

Step-by-step explanation:

3.2*10^8, 1.2*10^8, 7*10^5, 5*10^3

Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?

Answers

The total weight is 18.5 kilograms

GIVING BRAINLIEST PLEASE HELP!!!

GIVING BRAINLIEST PLEASE HELP!!!

Answers

Answer:

52° is correct answer of this question

hope it helps

thanks for free points

Step-by-step explanation:

option a.

38°+x=90°

x=90°-38°

x=52°

Work out the area of the shape after it has been enlarged by scale factor 2.


State the units of your answer

Answers

Answer:

The area of the now-enlarged shape quadruples. The units are the same; square units.

Step-by-step explanation:

The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.

When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).

Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.

For example, if the shape was a rectangle.

A = L × B

When enlarged, new L = 2L, new B = 2B

new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.

A circle

A = πr²

When enlarged, new R = 2r

new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.

Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.

Hope this Helps!!!

Which algebraic expression is equivalent to this expression?

5(3x+2)+18

Answers

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)​

Answers

Answer:

umm 9 gallons i think

Step-by-step explanation:

Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.

Answers

Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

practice using stokes’ theorem by evaluating the following line integrals. we can use stokes’ theorem because these are work integrals around loops in r3. (a) let c be the piecewise curve from (0,0,0) to (2,0,4

Answers

To evaluate the line integral using Stokes' theorem, we consider the piecewise curve C from (0,0,0) to (2,0,4). Stokes' theorem allows us to convert the line integral into a surface integral by taking the curl of the vector field over the surface bounded by the curve C.

To evaluate the line integral using Stokes' theorem, we start by calculating the curl of the vector field over the surface bounded by curve C. Let's denote the vector field as F and find its curl (denoted as ∇ × F). Once we have the curl, we can convert the line integral into a surface integral using Stokes' theorem.

In this case, the given curve C is a piecewise curve from (0,0,0) to (2,0,4). We need to find the curl of the vector field over the surface bounded by C. Once we have the curl, we evaluate the surface integral by integrating the dot product of the curl and the surface normal vector over the surface bounded by C.

This will give us the result of the line integral using Stokes' theorem. It's important to note that further details, such as the specific vector field and the surface over which the integral is evaluated, are needed to provide a complete and accurate evaluation of the line integral using Stokes' theorem in this particular case.

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16. The following section focuses on the recolonization of an area after a volcanic eruption.Kilauea is a Hawaiian volcano that erupted in 1959, destroying vegetation and animal life over an area of 5 million square meters.Before the eruption many organisms lived on the volcano in a rain forest community. The rain forest was dominated by ohia trees and two species of tree ferns. Small trees, tall shrubs, and herbaceous plants (plants lacking woody tissues) were also present.After the eruption, scientists closely monitored the area to track the recolonization of the devastated habitat. Scientists did not find any organisms living in this area for the first six months following the eruption. The table below shows the changes in one localized area that was covered by a massive amount of lava rock with many cracks and crevices. Despite the colonization of the area by several different types of organisms by year 9, the overall cover of the habitat was so low that the surface still looked barren.Most organism were unable to live in the area for the first six months after the eruption. Which of the following changes most likely needed to occur in the area so the organisms could return there?increase in oxygenincrease in soil nutrientsincrease in sunlightincrease in temperature Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector. --Constitution, Article 2.1 A person in a group tends to exert more effort when they are individually accountable than when they are working with others toward a common goal where individual contributions are too complicated to measure. This is known as: When rounding numbers, round down if the number to the right isless than 5.4 or greater.equal to 5.greater than 4. How do rechargeable batteries work? When a rechargeable battery is connected to electricity it changes the pressure inside and allows the rubber membrane to expand, thus releasing more energy next time its used. When plugged into the wall the electrons are sent back to rebuild the original dry cell (or metal). Rechargeable batteries are made exclusively of nitrogen which when exposed to electricity from and outlet can store a charge. When a battery is zapped by the electricity from the outlet it resets the system. Which is the graph of F(x) = (4)? No one at zappos has private offices. instead of cubicles, they have a free-flowing layout that they believe encourages collaboration. this is an example of how zappos is using ________ to build organizational culture. What is the median of the following numbers 8 1 2 6 1 4? Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. 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Which source would be the best to use for a tracer that must be injectedinto the body?Enter your answer as a numberRadioactive sourceType(s) ofradiation emittedHalf-life1gamma7 weeks2beta3 days12 minutes3alpha and gamma4gamma23 minutes5alpha4 hours the poster measures 24 inches by 36 inches katie buys a copy of the same picture at the merch table buy the pictures being dilated to be 8 inches by 12 inches What is 31/50 as a percent