Consider this function.() = -31 + 3Which graph represents the inverse of function ?5XE3*-W.x3-12ZАwDZ

Consider This Function.() = -31 + 3Which Graph Represents The Inverse Of Function ?5XE3*-W.x3-12ZwDZ

Answers

Answer 1

To know the inverse function, we have to change variables of the original function as follows:

[tex]f(x)=y=-3x+3[/tex][tex]x=-3y+3[/tex]

Isolating for y:

[tex]x+3y=3[/tex][tex]3y=3-x[/tex]

Thus, the inverse function is:

[tex]y=-\frac{1}{3}x+1[/tex]

Based on the latter, we can see that the intersection with y -axis = 1, coordinate (0, 1). While the intersection with x - axis = 3, coordinate (3, 0)

Answer: C. Y


Related Questions

plsss help i just need help on how to do it i’ll give brainliest

Answers

The expression that represents the perimeter of the other shape is 9x + 6y.

Option(b) is the correct one.

What is an Expression in Math?

Expressions in mathematics are mathematical statements that comprise at least two terms that contain numbers, variables, or both, and are joined by an operator. Addition, subtraction, multiplication, and division are all examples of mathematical operators.

Given:

Expression for the sum of the perimeter of two shapes = 13x + 4y

Expression for the perimeter of one shape = 4x - 2y

Expression for the perimeter of the other shape is,

(13x + 4y) - (4x - 2y)

= 13x - 4x + 4y + 2y (combine the like terms and solve)

= 9x + 6y

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Jack is baking a cake. the recipe says that it must bake for 2 1/2 hours it has been baking for 3/4 hours how much longer must to bake? PLEASE HELP AND EXPLAIN TYSM​

Answers

Answer:

Step-by-step explanation:

60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake

Answer:

It still has to bake for 1 3/4 hours

Step-by-step explanation:

So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4

ten is ________ of two and 5

Answers

Ten is the product of two and five.

What does product mean?

Product is the result of the multiplication process. Multiplication is a mathematical operation that entails adding a number repeatedly over a number of times. The sign that is used to represent multiplication is ×.

In order to determine the product of 2 and 5, add to five times.

2 + 2 + 2 + 2 + 2 = 10

This is usually written as 2 x 5 = 10

Other mathematical operations are addition, subtraction and division. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of finding the difference between two or more numbers. Division is the process of determining the quotient of a number.

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in a multiple regression analysis involving two independent variables, if b1 is computed to be 2.0, it means that

Answers

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

What is multiple regression analysis?

Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.

Calculation

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.

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Use properties of rational numbers to multiply the following.

-10.8 × (-54.3)

A.
586.44
B.
-586.44
C.
58.644
D.
-58.644

Answers

The answer is A. 586.44.

It is important to note that when multiplying two rational negative number, the negative sign disappears.

In simpler terms, a negative multiplied by a negative is positive.

That rule eliminated choices B and D.

Since this is multiple choice, all you’d have to do is take 10 and multiply by 54 to get 540, to get a number close to the actual answer (multiplying by 10 is easy). This method automatically eliminates C since C is nowhere close to 540.

machine A creates 6 products in 20 minutes .machine B can create the same products at a rate of 1 product per 4 minutes which machine works faster

Answers

Answer: Machine A is faster

Step-by-step explanation:

1) Make them into fractions.

Machine A: 6/20

Machine B: 1/4

2) Make the denominator the same

Machine A: 6/20

Machine B: 1/4 * 5/5

Machine A: 6/20

Machine B: 5/20

6/20 > 5/20

Machine A > Machine B

Help please! :)

Directions: Answer each question below, showing all pertinent work.
Solve all using Estimate.

A. –42.3 ÷ 3.4

B. 16.1 – (–14.7)

C. –15.52 + 54.25

D. ‐67.8 ‐ 5.72

1.Brock had $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and
$169 for a loan payment. Find the amount remaining in his account.

2.Linda’s paycheck was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on
transportation, and $290 on other things. She put the rest of her paycheck in savings. How much did
she put in savings?

Answers

A1) Using estimate, the solutions to the following are:

A) is -14.

B) is 31.

C) is 38.

D) is -74.

1. The remaining amount in Brock's account after writing the checks is $2,290.

2. Linda put $831 in her savings account after meeting her expenses.

What is an estimate?

An estimate is a rough calculation.

To do an estimate, the figures may be appropriated or rounded up.

Estimates:

A. –42.3 ÷ 3.4

= -14 (–42 ÷ 3)

B. 16.1 – (–14.7)

= 31 (16 – (–15)

C. –15.52 + 54.25

= 38 (–16 + 54)

D. ‐67.8 ‐ 5.72

= -74 (‐68 ‐ 6)

Brock:

The amount in Brock's checking account = $3,084

Checks:

Rent $350

Auto repair $275

Loan payment of $169

Total amount for checks = $794

Remaining amount = $2,290 ($3,084 - $794)

Linda:

The total amount of the paycheck = $2,312

Expenses:

Rent $157

Food $322

Child care $478

Transportation $234

Miscellaneous expenses $290

Total expenses = $1,481

Savings account = $831 ($2,312 - $1,481)

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A football team scored 3 touchdowns 3 extra points and 4 field goals write an expression to represent the total points the football team scored

Answers

Expression to represent the total points 3t + 3e + 4f

What is Algebra?

Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.

Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f)

                    = 3t + 3e + 4f

Hence, Expression to represent the total points the football team scored

3t + 3e + 4f

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How do you solve (x+3)^2=121? Sorry it's been a while...

Answers

Answer: x = 8

Step-by-step explanation:

(x + 3)^2 = 121

Take the square root of both sides

x + 3 = 11

x = 8

Plug it back in to double check

(8 + 3)^2 = 121

(11)^2 = 121

121 = 121

in the diagram below, all the measurements are given correct to the nearest cm. Not drawn o scale 15 cm 21 cm 28 cm 42 cm Calculate the greatest possible area of the shaded region.

Answers

Using the diagram and given measurements the area of the shaded potion is solved to be 46 cm^2

How to find the area of the shaded portion

Area of the shaded portion is solved using the following factors

Entire area of the rectangleArea of the smaller rectangle

Entire area of the rectangle

= length *  width

= 42 * 21

= 882 cm^2

Area of the smaller rectangle

= length * width

= 28 * 15

= 420 cm^2

Area of the shaded portion

= Entire area of the rectangle  -  Area of the smaller rectangle

= 882 cm^2 - 420 cm^2

= 462 cm^2

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At class meeting, Jeff, Chad, and Lane ate a total of 254 marshmallows in the marshmallow-eating contest. Jeff won by eating 7 more marshmallows than Chad, who ate 5 more than Lane. How many marshmallows did Jeff eat?​

Answers

The equation is formed and solved below.

What is an equation?

A mathematical equation is a calculation that uses the matching sign to represent the similarity of two expressions. A polynomial equation is the most prevalent kind of equation. An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance.

Lane ate = x marshmallows (let)

Chad ate = x + 5 marshmallows

Jeff ate = (x + 5) + 7 = x + 12 marshmallows

Then, the equation formed is

x + x + 5 + x + 12 = 254

The equation is solved as

3x + 17 = 254

or, 3x = 254 - 17

or, x = 237/3 = 79

Jeff ate = 79 + 12 = 91 marshmallows

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Multiply.

3c^6(9c+4c^3)

Simplify your answer as much as possible

Answers

Answer:

[tex]12c⁹+27c⁷[/tex]

Step-by-step explanation:

3c⁶(9c+4c³)

=(3c⁶)(9c+4c³)

=(3c⁶)(9c)+(3c⁶)(4c³)

=27c⁷+12c⁹

=12c⁹+27c⁷

(y-1.1)(-3y)
= (y) ( ) ( ) (-3y)
= -3y __ __ 3.3

Answers

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the city of raleigh has 7600 registered voters. there are two candidates for city council in an upcoming election: brown and feliz. the day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 128 said they'd vote for brown, 101 said they'd vote for feliz, and 21 were undecided.

Answers

This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.

Due to that, There are 7,600 registered voters in Raleigh. Brown and Feliz are the two candidates running for city council in the upcoming election. A telephone survey of 550 randomly chosen registered voters was performed the day before the election. 205 people declared they would support Brown, 317 people would support Feliz, and 28 people were unsure.

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown can be calculated as follows:

p = 205/550 =0.3727

Expected number of voters who vote for Brown:

The expected number of voters who vote for Brown can be calculated as follows:

E voters who vote for Brown =7600 *0.3727=2832.52= 2833 (Approx.)

This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.

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PLS HELP GEOMETRY WILL GIVE BRAINLIEST
Given: line c is parallel to line d, and angle 1 is congruent to angle 7,

Prove: line a is parallel to line b

Answers

By corresponding angle we prove  a parallel line a ║ b .

What is an example of parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. They may be vertical or horizontal. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.Lines that are always the same distance apart in a plane are said to be parallel. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.

Given,  c ║d

           ∠1 ≅ ∠7

   ∠1 = ∠3                 ( corresponding question)

   ∠5 = ∠7                  ( corresponding question)

then a ║ b

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The half-life of a radioactive
substance is the time required for half of a sample to undergo radioactive decay, or for the quantity to fall to half its original amount. Carbon 14 has a half-life
of 5730 years. Suppose given samples of carbon 14 weigh 5/8 of a pound and 7/8 of a pound. What was the total weight of the samples 11,460 years ago?

Answers

The total weight of the samples 11,460 years ago is 6 pounds

What is Exponents?

Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as b^n and is pronounced as "b to the n."

The exponential process of radioactive decay is depicted by

[tex]A_{t}[/tex] =[tex]A_{0}[/tex] [tex]e^{-kt}[/tex]

where  = Amount of the radioactive element after t years

[tex]A_{0}[/tex] = Initial amount

k = Decay constant

t = time in years

The carbon-14 half life is 5730 years.

[tex]A_{0}[/tex]/2 = [tex]A_{0}[/tex][tex]e^{-5730k}[/tex]

1/2 = [tex]e^{-5730k}[/tex]

At this point, we take ln (Natural log) on both sides.

ln(1/2) = ln [ [tex]e^{-5730k}[/tex]]

-ln(2) = -5730kln(e)

0.69315 = 5730k

k = 0.69315 / 5730

k = 1.21 x [tex]10^{-4}[/tex]

We now need to determine the weight in pounds of the C-14 samples that were taken for the remaining quantities.

5/8 =[tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460})[/tex]

5/8 = [tex]A_{0}[/tex]    [tex]e(^{-1.3863})[/tex]

[tex]A_{0}[/tex] = (5/8)              [tex]e(^{-1.3863})[/tex]

 [tex]A_{0}[/tex] = 5/8 x 4

[tex]A_{0}[/tex] = 5/2

[tex]A_{0}[/tex] = 2.5pounds

Similarly for 7/8 pound

 7/8 = [tex]A_{0}[/tex]  [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]

7/8 =      [tex]A_{0}[/tex]  [tex]e(^{-1.3863 })[/tex]

 [tex]A_{0}[/tex] =  (7/8) [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]

  [tex]A_{0}[/tex] = 7/8 x 4

[tex]A_{0}[/tex] = 7/2

[tex]A_{0}[/tex] = 3.5 pounds

Hence, The total weight of the samples 11,460 years ago 2.5 + 3.5 = 6pounds

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if a regression model is constructed from the data given here, what is the residual for the prime interest rate of 8%? bond rate in 5% 12% 9% 14% 7% prime interest rate 14% 6% (x) 8% 5% 7% o a 11.12 o b.-5.16 o cobb od.-0.88

Answers

The residual for the prime interest rate is 0.88.

What is a regression equation?

An equation created to explain the relationship between independent and dependent variables is known as an estimated regression equation in statistics.

The relationship between the dependent and study variables is first hypothesized using a simple or multiple regression model. The most popular technique for creating estimates of the model variables is the least squares method.

Predicting the worth of the dependent variable while values for the predictor factors are known is one of the main uses of both the estimated regression equation.

From the given regression model,

n = 5  

∑X = 40  

∑Y = 47  

∑XY = 333  

∑X² = 370  

n∑X.Y - ∑X.∑Y  = -215  

n∑X²  - (∑X)²    =  250  

∑Y.∑X² - ∑X∑XY     = 4070  

FOR REGRESSION EQUATION  

 a= ( ∑Y.∑X² - ∑X∑XY )/ (n∑X²  - (∑X)² )         =  16.28

 b = (n∑X.Y - ∑X.∑Y) / (n∑X²  - (∑X)² )            =    -0.86

 ŷ = b x + a  = -0.86 x + 16.28  

predicted value  at   x = 6   ;

ŷ = (-0.86 * 6) + 16.28 = 11.12

Residual = y -  ŷ = 12 – 11.12  = 0.88

The residual for the prime interest rate is 0.88.

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a college has over 5{,}0005,0005, comma, 000 students, 10\, percent of which are left-handed. a new lecture hall is being planned that will seat 300300300 students, and college officials want to be sure there are enough left-handed desks. suppose we randomly select groups of 300300300 students from this college. what are the mean and standard deviation of the number of left-handed students in each group of 300300300? you may round your answers to the nearest tenth.

Answers

The mean of the given data is 30 students and the standard deviation is 5.2.

What is standard deviation?

The standard error of either a statistic (such as the sample mean) and the standard deviation of a sample or population are fundamentally separate but related concepts.

The standard deviation of the collection of means that would be discovered by taking an unlimited number of multiple samples from the population and calculating a mean for each sample is the sampling mean's standard error.

The sample standard deviation reduced by the sample size is used to estimate the mean's standard error, which turns out to be equal to the population variance times the square root of the random sample.

Given that,

5,000 students, 10 % of which are left-handed.

A new lecture hall is being planned that will seat 300 students.

The mean is 30 students

standard deviation is 5.2 students

The mean of the given data is 30 students and the standard deviation is 5.2.

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22 Here is a right-angled triangle.
Work out the value of x.
4 cm
8.5 cm
xcm

Answers

x = 7.5 cm is value of v by Pythagorean theorem.

What is the Pythagorean theorem ?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the total of the squares on the legs.For an acute triangle, c2 a2 + b2, where c is the side across from the acute angle, given the Pythagorean Theorem that states a2 + b2 = c2. For a right triangle, c is the side of the 90-degree angle and c2 = a2 + b2.

use Pythagorean theorem in triangle,

 8.5² = 4² + x²

 72.25 = 16 + x²

 72.25 - 16 = x²

   56.25  = x²

      x = √56.25

      x = 7.5 cm

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Answer the following

Answers

Answer:

Don't know

Step-by-step explanation:

Find the 60th term of the arithmetic sequence −29, -49, −69,

Answers

We see, the second number is 20 less than the first number, the third number is 20 less than the second number, ..

So, the pattern is : We minus 20 from a term to get the next term right after.

From the 1st term to the 60th term, there are 59 spaces.
Therefore, the 60th term = -29 - 59 x 20 = -1209

if during a typical week susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?

Answers

The probability that the average score for the week is between 220 and 228 = 0.7641

Susan's score on bowling follows Normal Distribution.

Average score or mean, μ = 225

Standard Deviation, σ = 13

Number of times Susan bowled, n = 16

Since the scores follows Normal Distribution, the z-score = (x-μ)√n/σ

When the score, x = 220,

z = (220-225)√16/13

  = -20/13

  = -1.538

When the score, x = 228,

z = (228-225)√16/13

  = 12/13

  =0.923

Hence The probability that the average score for the week is between 220 and 228 = P(220 < x < 228)

                      = P(-1.538 < z < 0.923)

                      = P(z < 0.923) - P(z < -1.538)

                      = (0.5 + 0.3212) -( 0.5 - 0.4429) [From the z-tables]

                      = 0.7641

The question is incomplete. Find the complete question below:

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?

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If the quadratic formula is used to find
the roots of the equation 2x² - 5x - 12
= 0, then what are the correct roots?

Answers

The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

What is defined as the quadratic formula?A quadratic equation is just a polynomial with a second degree first term. There are several methods for determining the roots, or solutions, of such a quadratic equation. Every quadratic equation has two solutions, that might or might not be real numbers. The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number

If the quadratic equation is ax² + bx + c = 0.

Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.

The quadratic equation is given as; 2x² - 5x - 12 = 0.

On comparing with the standard form;

a = 2b = -5c = -12

Put the values in the formula,

x = [-b ± √(b² - 4ac)]/2a.

x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2

On simplification,

x = [5 ± 11]/4

There will be two roots of equation,

a; x =  [5 + 11]/4

x = 16/4 = 4

b ; x = [5 - 11]/4

x = 6/4 = 1.5

Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

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Question
What is the slope of this graph?

Responses
1 fourth
negative 4
negative 1 fourth
4

Answers

Answer: The slope of the graph is negative 4.

tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. if this continues, what will tacoma's population be in 2010?

Answers

4,31,784.999454  will be the population of Tacoma in 2010 .

What is exponents ?

The exponent of a number is the number of times it is multiplied by itself.

Positive, negative, zero, and rational/fractional exponents are the four kinds.

The value of the number may be deduced from the exponent, which is the total number of times the base number must be multiplied by the same base.

Calculation

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2010-2000 = 15 years later, or at the end of the 15th year:                                        

Population  P(10) = (200,000)(1.08)10 = 4,31,784.999454

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1. The distance between two cities on the map was 6.5 cm. If the scale of the picture is 1:5000000, find the distance between the two cities.

2. How many centimeters can be used to represent a distance of 650 km on a map with a scale of 1:1500000?

3. If the distance between Ulaanbaatar and Choibalsan is 630 km, and the distance between these cities is shown on the map as 7 cm, find the scale of the map.

Answers

Considering the given scale, it is found that:

1. The distance between the two cities is of 325 km.

2. 43.3 cm should be used to represent the distance.

3. The scale of the map is of 1:9000000.

What is a scale?

A scale is how much each unit in the drawing represents in actual distance.

For item 1, the scale of 1:5000000 means that each unit on the graph represents 5,000,000 units of actual distance.

The distance on the map is of 6.5 cm, hence the actual distance is of:

6.5 x 5000000 = 32,500,000 cm = 325 km.

For item 2, the scale is of 1:1500000, meaning that each cm of drawing is equivalent to 1,500,000 cm of real distance = 15 km.

Hence, the number of centimeters to represent a distance of 650 km is given by:

650/15 = 43.3 cm.

For item 3, we have that 7 cm represent 630 km = 63,000,000 cm, hence:

63,000,000/7 = 9000000.

Meaning that the scale is given by:

1:9000000.

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i really need help!
4) At 5:00am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit. How much did the temperature change? Write an equation and then solve. Show all your steps.

Answers

Answer:

21 degrees

Step-by-step explanation:

Let the change in temp. be y.

-14.8 + y = 6.2

y = 21

Therefore, the change in temp. is 25 degrees.

Of the following situations, which is best represented by the product
5x-3​
A
The amount of money a snack bar earns for selling 333 sandwiches ​for $555 per sandwich
B
The change in elevation of a submarine as it sinks 333 meters ​every second for 555 seconds
C
The change in temperature as it decreases 555 degrees every hour ​for 333 hours
D
The height of a child who grew 333 inches each year for 555 years


i need the answer fast pls

Answers

Answer: b

Step-by-step explanation:

HELP ASAP GIVE BRAINLY TO RIGHT ANSWER ONLY!!!

Answers

Graph D shows the line y - 4 = 2 (x + 1).

slope: 2

How do you represent a equation on a graph?

The act of displaying linear equations with one or two variables on a graph is known as "graphing linear equations." A linear equation is a one-degree equation, meaning that the variable's highest power or exponent value may never be more than 1, under any situation. Finding the values of the variables in a linear equation is known as solving it. The graphical approach is one way to solve linear equations, which can have one or two variables.

They are algebraic equations with 2 variables of maximum power 1 and real constants in each term. The linear equation is shown in y=mx+b form, sometimes referred to as the y-intercept form.

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Write an equation that expresses the following relationship: x varies directly as a and inversely as the difference between y and z. Then solve the equation for y
Write an equation that expresses the given relationship. Use k as the constant of variation.

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