suppose that x and y very inversely and that y=8/3 when x =8, write a function that models the inverse variation and find y when x = 4

Answers

Answer 1

Answer: First find the constant k. For inverse variation, k=yx.
k=(8/3)*3=8
8=yx or y=8/x
8=4y
y=2
Hope this helps.

Related Questions

For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life. B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life. C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life. D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.
Need help with all!!! Please help
What is the equation of the following graph in vertex form?parabolic function going down from the left and turning at the point negative one comma zero and going up through the point zero comma one and continuing towards infinityCourtesy of Texas Instrumentsy = (x − 1)2y = (x − 1)2 + 1y = (x + 1)2 − 1y = (x + 1)2
How do you do... cos2x-sin2x=1-2sin2x
Share $420 in the ratio 2:1:4

1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism
B.) socialism
C.) collective bargaining
D.) populism

2. During the early 20th century, corporations used holding companies to do which of the following?
A.) reduce the power of unions
B.) shelter earnings from income taxes
C.) pursue a policy of vertical integration
D.) exert a greater amount of political influence

3. What impact did developments in the steel industry during the 19th century have on the United States?
A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military.
B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources.
C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.
D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.

Answers

Hello!

Economic policy used in the US during the second industrial revolution was the model of laissez-faire capitalism. Socialism and populism have not been used often in the US.

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The main consequence of the use of holding was to reduce the power of couplings, since it is configured symbolic monopoly.

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The steel industry has contributed to the territorial and technological expansion. This is remarkable when we look at the railroads.

hugs!

Below are the answers to the above questions:

1. laissez-faire capitalism
2. reduce the power of unions
3. They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.

Thank you for posting your question here. I hope the answer helps.

Write an equation of the line
Passes through the points (4,2) and (6,8)

Answers

Work out gradient so change in y/change in x=8-2/6-4=3
So m=3 where m is the slope. As you go across by 1 you go up by 3
I think you would use y-y1=m(x-x1)
Using (4,2) =y-2=3(x-4)
y-2=3x-12
y=3x-10

Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no two of her friends got the same number of coins. What is the largest number of friends to whom Mei Su could have given coins?

Answers

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

Answer:

Step-by-step explanation:

The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number of years since 1990. Let y represent the population. Which linear equation represents this data?

Answers

well... looking at how to question is defining things.....i think this is a multiple choice question.....

Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
It says linear equation........, So, we have to assume that every ten years the population increases by a fixed amount that is 1500 people every 10 years.

Now,
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10
= 150

Now,
The equation in determining the population is:

y = 150x + 1200

Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper? A. 6 B. 8 C. 9 D. 12

Answers

There are 9 Pink colored sheets.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmeticoperations.

given:

Ratio of Red: Pink = 1 :3

let the common ratio be x

If red color sheets are 3.

Then 1x =3

x= 3

Then ,the number of pinksheet s

= 3x

= 3(3)

= 9

Learn more about algebra here:

brainly.com/question/24875240

#SPJ2

Answer:

Ralph will need 9 sheets of pink paper

Explanation:

The red paper to pink paper ratio is 1 to 3. This means that for every 1 piece of red paper, there are 3 pieces of pink paper. Since there are 3 pieces of red paper that Ralph has, you multiply 3 times 3 to get 9 pieces of pink paper.

Selma's class is making care packages to give to victims of a natural disaster. Selma packs one box in 5 minutes and has already packed 12 boxes. Her friend Trudy packs one box in 7 minutes and has already packed 18 boxes. How many more minutes does each need to work in order to have backed the same number of boxes?

Answers

Every 35 minutes Selma packs 7 boxes, while Trudy packs 5 boxes.

Thus every 35 minutes Selma decreases the difference between them in 2 boxes.

Since the original difference was 6 boxes, Selma needs 3 times 35 minutes, or 105 minutes, in all, to catch Trudy.

Answer- 105 minutes, or 1 hour and 45 minutes.

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