Which equation describes the relation indicated by the table

Answers

Answer 1

Answer:

Answer: - (1/2)x + 2

Explanation: 1) Table

x    y

-2   3

0    2

4    0

6   -1

The first thing that you must probe is whether the relation is linear.

When the relation is linear the rate of change is constant.

The rate of change is Δy / Δx

2) Let's calculate that rate for all the points given:

x    y

-2   3

0    2 ---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2

4    0 ---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2

6   -1 ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2

So, we have shown that the relation is linear.

3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.

We already found m = -1/2

The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.

Therefore the equation is: y = (-1/2)x + 2.


Related Questions

Copper is a metal commonly used for electrical wiring in houses

Answers

Answer:

Yes, that is true.

Explanation:

Grains seeds nuts and root vegetables are examples of

Answers

Answer:

Complex Carbohydrates

Explanation:

they are examples of complex carbohydrates

Rafael, a high-school student, wants to be a police officer. what would be a way for rafael to accomplish his goal?

Answers

The way for Rafael to accomplish his goal is finish with a good grade in school, have a clean record and then apply to the police academy.

What does it mean to accomplish one's goal?

For a person to be able to achieve a specific aim, they have to succeed in doing putting effort to doing he right thing that can lead to the success of that goal.

Hence the best thing for Rafael to accomplish his goal is finish with a good grade in school, have a clean record, no fighting, criminal records or any form of abuse and then He can apply to the police academy.

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Answer: C

Explanation: PLATO Users

(b) suppose a simple random sampling process is used to select the sample of 100 women. what is the probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships?

Answers

Based on the information given, the probability

of a randomly sampled woman not being

qualified for the internship will be 0.223.

The probability of a randomly sampled woman

not being qualified for the internship will be:

= P(x<20) = P(x=17) + P(x=18) + P(x=19)

= 0.005 + 0.107 + 0.111 = 0.223

Also, the probability that at least 30 percent of

the women in the sample will not meet the age

requirement for the internships will be 0.03216

In conclusion, from the information given,

a woman who does not meet the age

requirement is more likely to be selected with

a stratified random sample than with a simple

random sample.

Andrew pays $1824 per year in tuition. how much should he budget monthly for it?

Answers

Explanation:

He should $152 budget monthly for it.

A company is considering a capital investment of $16,000 in new equipment which will improve production and increase cash flows for the next five years at the following amounts: year 1: $8,000; year 2: $6,000; year 3: $5,000; year 4: $6,000; year 5: $5,000. the payback period is years.

Answers

Based on the cost of the capital investment in the new equipment and the cash flows for the next five years, the payback period is 2.4 years.

What is the payback period?

The payback period can be found by the formula:

= Year before payback + Amount remaining to be paid / Cashflow in year of payback

The year before payback can be inferred to be the Second year because $14,000 would have come in.

The remaining amount is:

= 16,000 - 14,000

= $2,000

Payback period is:

= 2 + 2,000 / 5,000

= 2.4 years.

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The puente hills landfill in california contains about 123 million tons of landfill waste and burns lfg to produce electricity. In a typical landfill, one million tons of landfill waste emits approximately 432,000 cubic feet of lfg per day. Calculate how much lfg is emitted at the puente hills landfill per year

Answers

The amount of landfill gas (lfg) which is emitted at the puente hills landfill in California per year is 53136000 cubic feet of lfg.

What is lfg (landfill gas)?

Landfill gas or lfg is the which is generated by the waste present on land by the action of microorganism.

The puente hills landfill in California contains about 123 million tons of landfill waste and burns lfg to produce electricity.

In a typical landfill, one million tons of landfill waste emits approximately 432,000 cubic feet of lfg per day. Thus, the cubic feet of lfg produced from 123 million tons is,

[tex]\text{lfg}=123\times432000\\\text{lfg}=53136000\rm; ft^3[/tex]

Thus, the amount of landfill gas (lfg) which is emitted at the puente hills landfill in California per year is 53136000 cubic feet of lfg.

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All of the following are true about eating prior to exercise except:

Answers

Answer: i dont see any choices

Explanation:

so i really cant answer the question ??

What is the volume of the right rectangular prism? 21 cm3 42 cm3 120 cm3 240 cm3

Answers

Answer:

D) 240cm3

Explanation:

took test

A cart is moving to the right with a constant speed of 20 m/s

Answers

Explanation:

ok so its velocity is +20. where's the rest of the question?

Is this statement true or false? "blowin' in the wind" and "the times they are a-changin'" became theme songs for the counterculture because their messages supported civil rights and protested war. true false

Answers

Answer:

the answer for that would be true

Explanation:

i did the k12 quiz

Answer:

Give mon7268 brainliest.

Explanation:

Its correct!

Of the following potential benefits, which is least likely to be provided by the upgraded system? human representatives will not be needed to respond to some inquiries. Human representatives will not be needed to respond to some inquiries. The company will be able to provide a human representative for any incoming call. The company will be able to provide a human representative for any incoming call. Customers are likely to spend less time listening to information not relevant to their issue. Customers are likely to spend less time listening to information not relevant to their issue. Customers will be unable to mistakenly select the incorrect department for their particular issue

Answers

The company being able to provide human representative for any incoming call  is least likely to be provided by the upgraded system.

What is Upgraded system?

This involves the replacement with a better version in  order to keep the system up to date.

Human representative for any incoming call is least likely to be provided by the upgraded system as it deals with personnel management with less effect on the system.

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A rifle of mass 2 kg is suspended by strings. the rifle fires a bullet of mass 0.01 kg at a speed of 200 m/s. the recoil velocity of the rifle is about

Answers

Answer:

-1m/s

Explanation:

P gun+ P bullet= P gun + P bullet

u= for both at first is zero

then

-P gun=P bullet

hence

P=mv

-2v=(0.01×200)

-2v=2

v= -1m/s

Describe rosenhan’s initial study of social perception and attribution involving the mental hospital and the eight pseudopatients. Explain the significance of the results

Answers

Answer:

There were two parts to this test. The first part was where Rosenhan had eight research investors go into a physiocratic hospital and pretend that they were patients. After a while they reported that they were starting to hear voices. After this the five people were sent to a hospital in five different states and then reported that they had felt perfectly fine.  The second stage was when he went to a hospital and told the hospital what was going to happen. The people at the hospital said they could never be fooled. After a short while some of the people had forty-one people that they believed they were Rosenhan collogues. However, he never sent anyone out at all. The conclusion was that the hospital would not be able to tell the difference between a sane person to an insane person. The experiment also showed that once you have an impression on someone it is hard to change that impression.

Explanation:

got 100% od Edge

What is hempel’s claim in this excerpt? what evidence does hempel provide? what type of evidence does hempel use?

Answers

The answers to the Hampel's claims and the others are:

Regime should or can use of the social media against its protestors.Government forms or develop false stories on social media.Testimony given by an expert.

What is a claim?

This is known to be a kind of statement that is often made so as to take a side on any given issue that arises in an argument.

Note that Hampel's claim in this excerpt was that the Regime should or can use of the social media against its protestors and the evidence that Hampel provide was that Government forms or develop false stories on social media.

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Answer:

C, B, & A

Explanation:

i did it

What did the majority of supreme court cases in the 1960s have in common? states' rights were protected. civil liberties were expanded. government power was increased. criminal defendants' rights were limited.

Answers

Answer: Civil Liberties we’re expanded

Explanation: I got the answer correct

Answer: B.  Civil liberties were expanded.

Explanation:

How does the narrator’s viewpoint compare to the turtle’s in this passage? the narrator and the turtle both agree that jim talks too much. the narrator and the turtle both wish that jim would learn to play the fiddle. the narrator and the turtle both love to play the fiddle for the plantation owner. the narrator and the turtle both dislike jim.

Answers

Answer:

The answer is A. The narrator and the turtle both agree that Jim talks too much.

Explanation:

Answer: How does the narrator’s viewpoint compare to the turtle’s in this passage?

The narrator and the turtle both agree that Jim talks too much.

The narrator and the turtle both wish that Jim would learn to play the fiddle.

The narrator and the turtle both love to play the fiddle for the plantation owner.

The narrator and the turtle both dislike Jim.

Explanation: its A because it said in story

This idea enhances wollstonecraft’s argument by insisting that women deserve to be educated despite their inferior capacity for learning. Suggesting that women’s natural curiosity will lead to trickery if it is not nurtured through education. Asserting that domestic chores offer fulfillment because they require a vast knowledge of the world. Claiming that women who excel in domestic roles should be called upon to serve as world leaders

Answers

A vindication of the rights of women by Mary Wollstonecraft is a political philosophy. In the excerpt, the author implies that a woman's inquisitiveness will lead to trickery.

What is the theme of A Vindication of the rights?

A vindication of the rights of women is a dedication work to Charles. M. Talleyrand. It depicts the major denial and oppression faced by a woman in society and women's education.

The narrator suggests that if women are forced to only the domestic work then they will resort to clever and tricky ways like visiting fortune tellers, rivalries, and engaging in silly activities.

Therefore, option B. suggests that women can assort in tricky and clever ways.

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Answer:

b

Explanation:

Mr. red's first year salary is $40,000 and it increases by $1000 each year. what is the explicit rule for this sequence in simplified form?

Answers

If Mr. red's first year salary is $40,000 and it increases by $1000 each year. The explicit rule is: an = 1000n + 39,000.

Explicit rule

First term (a1) =40000

Common difference (d) = 1000

Using this formula to find the explicit rule

an = a1 + (n - 1) ×d

Let plug in the formula

an = 40000 + (n - 1) × 1000

Evaluate

an = 40000 - 1000 + 1000n

an =39,000 + 1000n

Rewrite

an = 1000n + 39,000

Therefore the explicit rule of Mr. Red's salary is:  an = 1000n + 39,000.

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Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s

Answers

Huh Huh Huh Huh Huh Huh

What process brings the deep cold ocean currents up to the surface?

Answers

Answer:

upwelling

Explanation:

simce unlimited amount of water can not sink to the surface

What is the controlling idea? many people seeking to lose weight eliminate carbohydrates from their diets. carbohydrates’ bad reputation ignores the benefits they can offer. there are many dishes that pair healthy vegetables with pasta. athletes must increase their carbohydrate intake to improve performance.

Answers

Answer:

B.) Carbohydrates’ bad reputation ignores the benefits they can offer.

Explanation:

just took test 2022 edge

Carbohydrates’ bad reputation ignores the benefits they can offer, is the controlling idea according to the question. Therefore option B is correct.

What is Carbohydrate?

Exactly carbs are Sugar molecules makeup carbohydrates or carbs. Carbohydrates are one of the three primary nutrients included in foods and beverages, along with proteins and fats. Glucose is created by your body's breakdown of carbs. The primary energy source for your body's cells, tissues, and organs is glucose, also known as blood sugar.

Glucose, produced by the body's breakdown of carbs, serves as the main fuel for the brain and muscles. One of the three macronutrientsnutrients that the body needs in greater quantities—is carbohydrates.

Hence, Carbohydrates’ bad reputation ignores the benefits they can offer, is the controlling idea according to the question

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Two organisms of different species are not likely to compete for the same

Answers

they are not likely to compete for the same mate.

A store offers four different brands of a product it decides to eliminate

Answers

What does this mean there nothing here

Rock pocket mice are rodents native to the southwest. Normally, the rock pocket mice are tan-colored rodents living in the sandy environment of the west. However, a mutation introduced an allele for dark fur. Scientists are now studying the populations of tan pocket mice living in the sandy environment along with the mutant black mice thriving on dark lava rock from an old lava flow. The rock pocket mice are living examples of evolution occurring today. Which of these statements supports that idea? select all three that apply

Answers

Answer:

the answers are c,d and e

Explanation:

What is another way to use the help feature in access 2016? go to the backstage view using the file tab and select help. click the help icon that appears at the bottom right of the interface. use the light bulb at the top of the interface to gain access to shortcuts. use the first command group under the home tab to open a dialog box.

Answers

Answer:

C

Explanation:

I just got it right

Do you agree or disagree that we all take risks that could be perceived as dangerous?

Answers

Answer:

I agree!

Explanation:

I think it is necessary to take risks in life whether it is dangerous or not.

Into how many categories has the usda divided recipes

Answers

Answer:

it was divided into 9 categories

Explanation:

hope this helps;)

8-1 additional practice right triangles and the pythagorean theorem envision geometry

Answers

The value of x in the right triangle using the Pythagorean theorem is 15 units

How to determine the value of x in the right triangle?

From the right triangle (see attachment), we have the following Pythagoras theorem

x² = 12² + 9²

Evaluate the exponents

x^2 = 144 + 81

Evaluate the sum

x^2= 225

Take the square root of both sides

x = ±15

The value of x cannot be negative.

So, we have:

x = 15

Hence, the value of x is 15 units

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What is the rectangular form of the polar equation? r−rcosθ=8

Answers

The equation in rectangular coordinates is:

√(x^2 + y^2)*(1 - cos(Atan(y/x))) = 8

What is the rectangular form?

Remember that:

r = √(x^2 + y^2)θ = Atan(y/x)

Then we can just replace that in the given equation:

r - r*cos(θ) = 8

r*(1 - cos(θ)) = 8

Using the above relations, we have:

√(x^2 + y^2)*(1 - cos(Atan(y/x))) = 8

That is the equation in rectangular coordinates.

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Answer:

x=1/16y^2−4

Explanation:

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