Mathematics College

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer 1

Answer:

[tex]y = x +2[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-3,-1)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

So, we have:

[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]

[tex]m = \frac{3 +1}{1 +3}[/tex]

[tex]m = \frac{4}{4}[/tex]

[tex]m =1[/tex]

The equation in slope intercept form is calculated using

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1(x - (-3)) -1[/tex]

[tex]y = 1(x +3) -1[/tex]

[tex]y = x +3 -1[/tex]

[tex]y = x +2[/tex]

Related Questions

1 ton = 2,000 lbs. Convert 12,000 pounds (lbs) to tons. Please give answer in decimals. tons

Answers

Answer:

12,000 ibs = 6 ton

divide 12,000 by 2,000 to get this answer

Step-by-step explanation:

so in decimal form is 0.06 ( move two places to left)

Please answer this correctly without making mistakes or

Answers

Answer:

7lb 12oz

Step-by-step explanation:

4lb +3lb = 7lb

6oz +6oz = 12oz

Select all that apply. Which of the following name an angle in the drawing? ACB CDE ECB BDA

Answers

There needs to be a picture to get the answer

Answer:

ecb and acb

Step-by-step explanation:

if you help i will say thank you

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Answer:

Step-by-step explanation:

(5,-4)

Answer:

Step-by-step explanation:

(5,-4) by using elimination method

Complete the following statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains  quarts of milk.

The milk jug contains  liters of milk.

Answers

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains 67.62 fluid ounces of liquid.

The soda bottle contains 0.525 gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8 quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains ------- fluid ounces of liquid.

Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So, 2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62 fluid ounces of liquid.

The soda bottle contains gallons of liquid.

Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525 gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------ liters of milk.

Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

savoy the person i need u 2 answer me!!!

Answers

Answer:

i'm here Mittens

Step-by-step explanation:

so what u doing cutie

need help on these math questions. please and thank u

Answers

9514 1404 393

Answer:

a) x = -3

b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

x = -3

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

y -y1 = m(x -x1)

y -1 = (28/27)(x -27)

y = (28/27)x -27

simplify the fraction completly
75/100

Answers

The simplest form for 75/100 is 3/4

It’s 3/4. Mark me brainiest if I’m right plz

What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?

Answers

Step-by-step explanation:

the answer of this question is 5.39

given tu ij find the length of hj

Answers

that doesnt make sense

solutions to 2-variable equations y=-2x-5

Answers

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

What is the area of the parallelogram shown?

Answers

Answer: 234 in^3

Step-by-step explanation:

The area of a parallelogram is simply length * height.

Write the decimal as a percent.
3.68=%

Answers

Answer:

Step-by-step explanation:3.68 = 368%

Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.

Answers

Answer:

E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487

Step-by-step explanation:

Given that :

Test statistic, t = 1.064

P-value = 0.0487

Hypothesis : To test if grazing cows eat more grass than grazing horses

The null hypothesis will be :

H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).

Alternative hypothesis ; H1 : μ1 > μ2

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487

If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Test statistics, t = 1.064

P-value = 0.0487

The null hypothesis will be

H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)

An alternative hypothesis will be

Hₐ: μ₁ > μ₂

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made. How much will the certificate be worth (to the nearest dollar) at the end of 7 years?

Answers

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

In a orchestra , 10% the musicians play brass instruments. 15% play woodwin and, %5 play percussion .The other 28 musicians olay stringed insturments.

how many musicians are in the orchestra altogther?

Answers

Ok so basically 100% is the total amount of like percentage. It stand for 1 . But since you have 3 different percentages, you would use 100% instead.
Firstly, add up the percentages:
10%+15%+28% ( don’t worry about the percentage sign)
= 53% that would be the percentage of the musicians+Woodwind+percussion

28 other play stringed instruments, what you do is u want to change 53%to a normal number , so 53% is out of 100 , so 53/100x100= 53 , and 53+28= 81.

—There are 81 musicians altogether .

Find the cost of 80 Orange at 5 for 30 naria

Answers

Answer:

The cost of 80 oranges = 480 nairas

Step-by-step explanation:

Given

The cost of 5 oranges = 30 naira

Determine

The cost of 80 oranges

Given that the cost of 5 oranges = 30 naira

so,

Unit rate = 30 nairas / 5 oranges

= 6 nairas per orange

∴ The cost of 1 orange = 6 nairas

As the cost of 1 orange = 6 nairas

Thus,

The cost of 80 oranges = 6 × 80 = 480 nairas

Hence,

The cost of 80 oranges = 480 nairas

Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range

Answers

Answer:

See explanation for end behavior below

Domain = All Real numbers

Range = All Real numbers

Step-by-step explanation:

This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:

As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.

The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.

The same is true for the Range, since the y-values spread over all the real number line.

Jim can paint 5 chairs with 11.3 gallons of paint.

How many chairs can he paint with 24.86 gallons?

Answers

Answer: Jim can paint 11 chairs.

Step-by-step explanation: if 5 chairs is 11.3 then 10 chairs are 22.6 and if you want to know how much is on 24.86 you divide 11.3 with 5 because then you can add with 1 chair at a time which is 2.26 and then you add 2.26 which is exactly 24.86. 5+5+1 is 12. 5 chairs=11.3 10 chairs=22.6 11 chairs=24.86

The probability of rolling a sum of 5 from a pair of dice is. What are your odds in favor of rolling a sum of 5?

Answers

Answer:

1/9

Step-by-step explanation:

guys please help me it's Find the area of the polygon

Answers

For the first figure, draw a vertical line from the upper right corner to the base. Then you can see that the figure is a combination of two shapes: A rectangle that is 8 high and 6 wide, and a right triangle that has altitude of 8 and base of 4.

Area of rectangle = 8*6 = 48
Area of triangle = (1/2)*8*4 = 16
Total area = 48+16 = 64 square units
:::::
The second figure is a parallelogram with equal sides. Note that if you cut off the triangular area and attach it to the top of the figure, you get a rectangle, so the area is 15 times 16 = 24 units.

You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily

Answers

Answer:

$8800 might be wrong on that not sure

Find the product
-1/2y(2y^3-8)

Answers

Answer:

-y^4+4y

Step-by-step explanation:

what is the constant proportionality of $0.59 per pound

Answers

Answer:

The constant of proportionality is just 0.59

Simplify (x-y-5) (x-2)

Answers

x^2 - 7x - xy + 2y +10

Which fraction is in simplest form? 3/12 5/10 2/3 4/6

Answers

Answer:

2/3 is in simplest form, the other three fractions can be reduced

2/3 is the simplest form. 3/12 can be reduced by 3. 5/10 can be reduced by 5. And 4/6 can be reduced by 2.

4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches

Answers

Answer:

450cm3 or 450 cube cm.

Step-by-step explanation:

Formula = Length x Width x Height

So,

5 x 7.5 x 12 = 450cm3

What is the solution of the equation
5 = 22?

Answers

Answer:X=17

Step-by-step explanation:

Im not 100% sure

Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).

Answers

So if they gained 15,632 from going to swamp town, ang get 15,795 from getting lunch, they drove 163 miles, and add the 52 miles to get there, they drove 215 miles after getting lunch. So jn total, they drove 15,847

Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?

Answers

Answer:

3 7/10 miles

Step-by-step explanation:

divide miles by hours

11/5 ÷ 7/12 = 11/5 · 12/7 = 132/35 or 3.7 mph

Other Questions

Match the terms in Column I with the descriptions in Column II Column I1. Religious values 2. Prudential values 3. Intellectual values 4. Accountability 5. Aesthetic values 6. Integrity 7. Economic values Column IIA. concerned with one's religious doctrine B. concerned with beauty and appearance concerned with one's own interests C. concerned with reasoning D. concerned with cost, efficiency, and control E. people with this value behave in a manner that is consistent with ethical beliefsa F. quality in individuals whereby each knows, understands, considers and accepts G. the impact and consequences of personal actions and decisions (SAT Prep) Find the value of x. There once was a ship that put to seaThe name of the ship was the Billy of TeaThe winds blew up, her bow dipped downO blow, my bully boys, blowSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goShe had not been two weeks from shoreWhen down on her a right whale boreThe captain called all hands and sworeHe'd take that whale in towSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goBefore the boat had hit the waterThe whale's tail came up and caught herAll hands to the side, harpooned and fought herWhen she dived down lowSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goNo line was cut, no whale was freedThe Captain's mind was not of greedAnd he belonged to the whaleman's creedShe took that ship in towSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goFor forty days, or even moreThe line went slack, then tight once moreAll boats were lost, there were only fourBut still that whale did goSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goAs far as I've heard, the fight's still onThe line's not cut and the whale's not goneThe Wellerman makes his regular callTo encourage the Captain, crew, and allSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and goSoon may the Wellerman comeTo bring us sugar and tea and rumOne day, when the tonguin' is doneWe'll take our leave and go Marvin wrote down all of the numbers from 1 to 100. How many times did the digit 8 appear in Marvins's list? 245,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 In the figure, BP = BQ and PC = QA. Which of the following postulates prove AB = BC? A computer screen that is contained in its own case and is not part of the computer system is called a Despite the efforts of humanitarian aid organizations, some refugees end up as slaves or prostitutes.Please select the best answer from the choices provided.TF Please help me _____is when you put something in your own words; it can be spoken orwrittenA. QuotingB. SummarizingC. RetellingD. ParaphrasingSUBMIT Discuss the impact of television on myth, legend, and folklore. Is the impact a positive one or a negative one? Are stories told on TV our future myths, legends, and folklore? You explored several methodologies about the study of myth. None of the people who came up with these methodologies are alive today. What method would you come up with to study the myths, folklore, and legends that have evolved in the eighteenth through the twentieth centuries? American literary scholar Richard Altick, in his book A Preface to Critical Reading, said, In the latter part of the 20th century, it is hard for us to realize how important a part mythology played in the imagination of writers and readers down through the ages. The gods and goddesses of Olympus, the heroes of ancient legend were as familiar to the people who created the literature of the western world as popular movie stars are to us. Their names had the power to evoke rich emotions, which sprang from the recollection of the wondrous stories in which these figures participated. Unless the modern reader can somehow re-create for herself the emotional experience a mythological reference brought to readers in earlier generations, her reading of non-contemporary literature will lack much of the pleasure and understanding it would otherwise possess. Discuss this statement. Without an understanding of myth, can we fully understand and appreciate noncontemporary literature? If we cant, then how can myth, legend, and folklore stay alive? Does it need to, or can we survive as a culture without it? Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply A. 160 shirts cost $20B. 20 shirts cost $160C. 20,160 shirts cost money D. The total cost of shirts is 20,160 The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale? Show your work If BE = 2x + 2, BD = 5x 3, and AE = 4x 6. What is AC? A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price? factor the expression using gcf 69 + 84 Two cars are moving at the same speed. One car is 50 kg and the other car is 30 kg. Which car has the greater kinetic energy? 2 things aboard revolution of earth Describe the location of a. Antarctica b. The Arctic c. The Andes how does migration impacts the nationalistic identity of a state? Solve: 13x+4.............X=2

Find the equation of the linear function represented by the table below in slope- intercept form.

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Find the equation of the linear function represented by the table below in slope-
intercept form.