Determine whether y varies directly with x. If so, find the constant of the variation.

y=7/x

Answers

Answer 1

Answer:

Direct variation is modeled by

... y = k·x

Then the value of k can be found by finding the ratio of any corresponding pair of numbers from your table. I find it convenient to choose the one where x=10, so the math is easy to do mentally.

... y/x = k

... 16/10 = k = 1.6

Then the equation is

... y = 1.6x

_____

Checking the other values in the table, we find that this equation fits all of them, so you do have direct variation.Step-by-step explanation:


Related Questions

Find the equation of the line shown.

Answers

Answer:

[tex]\displaystyle y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Equation of a line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The graph of the picture shows two clear points (-4,-5) and (0,-3). We'll use them to find the required equation:

[tex]\displaystyle y-(-5)=\frac{-3-(-5)}{0-(-4)}(x-(-4))[/tex]

Operating:

[tex]\displaystyle y+5=\frac{-3+5}{0+4}(x+4)[/tex]

[tex]\displaystyle y+5=\frac{2}{4}(x+4)[/tex]

Simplifying the fraction:

[tex]\displaystyle y+5=\frac{1}{2}(x+4)[/tex]

Multiplying:

[tex]\displaystyle y+5=\frac{1}{2}x+2[/tex]

Solving for y:

[tex]\boxed{\displaystyle y=\frac{1}{2}x-3}[/tex]

Which equation represents the function shown on the graph

Answers

Your answer is B. y=4x, the photo I added shows my steps.

Answer:

y= 4x

Step-by-step explanation:

Select the best answer for the question
4. A quote you received from a local restaurant is $625 for a business luncheon. The restaurant owner tells you the price with gratuity is $720. How much did the owner add
for gratuity?
A. $105
B. 585
C. 575
D. 595

Answers

Answer:

$105

Step-by-step explanation:

the owner add 105$for gratuity


11) Which of the following headlines contain quantitative information? *

Answers

Answer its a news paper

Step-by-step explanation:

Help me with this math problem, I need someone to guide me through it I don’t understand what I’m supposed to do first

Answers

Answer:

see below

Step-by-step explanation:

The parent function is x^2 which is a parabola at vertex (0,0)

g(x) = ( x+3) ^2

y = f(x + C) C > 0 moves it left  

So the parabola is shifted to the left 3 units

h(x) = -( x+3) ^2

y = −f(x)  

Reflects it about x-axis

Means flip it about the x axis

Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!

Answers

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

Enter the mixed number as a decimal.
4 5/8

Answers

Answer:

4.625

Step-by-step explanation:

5/8 = 0.625 add 4 =

4.625

Help I will mark you brainlist if you get it correct

Answers

Answer:

d because they're both outside the thing or it could be b

Sieranise is trying to find the unit price on a 12-pack of granola bars on sale for $2.99. Her sister says that at that price, each bar would cost just under 25 cents. Is she correct, and how do you know? If she is not, how would Sieranise’s sister find the correct price?

Answers

Answer:

It is correct, the cost per granola bar is $0.25

Step-by-step explanation:

You would divide 12 and $2.99

2.99/12

Equals to 0.29166666(repeating)

You would then round the number since 0.2491666 is a correct money amount, making it 0.25.

$2.99/12 = $0.25 (rounded)

The cost per granola bar would be just under $0.25.

Hope this helps!

-Jerc

Factor completely. 2x^2-162

Answers

Answer:

2(x+9)(x−9)

Step-by-step explanation:

Jenna worked at an ice cream shop for 4.5 hours on Friday and 5.5 hours on Saturday. She made a total of $77.50. How much does Jenna get paid per hour?

Answers

Answer:

$7.75 per hour

Step-by-step explanation:

What is the absolute value of negative four

Answers

Answer:

4

Step-by-step explanation:

The absolute value is just the positive version of a number so if you have like -28 the absolute value is just 28

Answer:

4

Step-by-step explanation:

Absolute value is the distance of a number from zero, and absolute value is always positive because it's distance.

-4 would be 4 places away from 0 on a number line, so the absolute value of -4 is 4.

When can it be determined that the mean is less than the median?
A. When the histogram is symmetric
B. When the histogram can be closely ap. Foximated by a normal curve.
C. When the histogram is negatively skewed.
D. When the histogram is positively skewed.

Answers

Answer:

c. when the histogram is negatively skewed

Step-by-step explanation:

median are resistant to outliers however the mean is not a negatively skewed histogram will affect the mean but not the median so the mean is less than the median for a histogram that is negatively skewed

If the end behavior is increasing to the left, what might be true about the function? Select all that apply.
Select all that apply:
O The degree is even and the leading coefficient is positive.
he
The degree is even and the leading coefficient is negative.
0 The degree is odd and the leading coefficient is positive.
O The degree is odd and the leading coefficient is negative.

Answers

Answer: the degree is even and the leading coefficient is positive

Step-by-step explanation:

If the function is increasing to the left and falls to the right,

Leading coefficient of the function will be negative and the degree of the function will be Odd.

Similarly, if the function is increasing to the right and falls to the left,

Leading coefficient of the function will be positive and the degree of the function will be Odd.

Therefore, Option (4) will be the correct option.

Learn more,

https://brainly.com/question/11808280

A research company performed a study of Machiavellian traits in accountants. Machiavellian describes negative character traits that include​ manipulation, cunning,​ duplicity, deception, and bad faith. A questionnaire was administered to a random sample of 800 acccounting alumni of a large​ university; however, due to nonresponse and incomplete​ answers, only 216 questionnaires could be analyzed. Several variables were​ measured, including​ age, gender, level of​ education, income, job satisfaction​ score, and Machiavellian​ ("Mach") rating score. The research findings suggest that Machiavellian behavior is not required to achieve success in the accounting profession. Complete parts a through

f.

a. What is the population of interest to the​ researcher?

All 216 accounting alumni who returned the questionnaire

B.

The 800 accounting alumni

C.

All accounting alumni of the large university

D.

All alumni of the large university

b. What type of data​ (quantitative or​ qualitative) is produced by each of the variables​ measured?

A.

The quantitative variables are​ gender, level of​ education, job satisfaction​ score, and Machiavellian rating. The qualitative variables are age and income.

B.

The quantitative variables are​ gender, level of​ education, and job satisfaction score. The qualitative variables are​ age, income, and Machiavellian rating.

C.

The quantitative variables are​ age, income, and gender. The qualitative variables are level of​ education, job satisfaction​score, and Machiavellian rating.

D.

The quantitative variables are​ age, income, job satisfaction​score, and Machiavellian rating. The qualitative variables are gender and level of education.

c. Identify the sample. Choose the correct answer below.

A.

The sample is the 216 accounting alumni who returned the questionnaire.

B.

The sample is all accounting alumni of the large university.

C.

The sample is the 800 accounting alumni who returned the questionnaire.

D.

The sample is all alumni of the large university.

d. Identify the​ data-collection method used. Choose the correct answer below.

A.

The data are from a designed experiment.

B.

The data were collected observationally.

C.

The data are from a survey.

D.

The data are from a published source.

e. What inference was made by the​ researcher?

A.

Machiavellian behavior is not required to achieve success in the accounting profession.

B.

Gender does not have an effect on success in the accounting profession.

C.

A high level of education is important to achieve success in the accounting profession.

D.

Job satisfaction is important to achieve success in the accounting profession.

f. How might the nonresponses impact the​ inference?

A.

Nonresponses decrease the sample​ size, making the results more accurate.

B.

Nonresponses cause inaccuracies in the values of the data being recorded.

C.

Nonrespondents may be more Machiavellian in​ nature, biasing the results.

D.

Answers

I can do all of it for u

Tim buys a computer for $1,195.00. His local tax rate is 8.25%.

How much does Tim pay for the computer including tax? Round to the nearest cent if necessary.

Answers

Answer:

The total price with tax is 1293.59

Step-by-step explanation:

First find the tax

1195 * 8.25%

1195 * .0825

98.59

Add the tax to the original price

1195+ 98.59

1293.59

The total price with tax is 1293.59

Answer:

$1293.59

Step-by-step explanation:

8.25% of $1195 = $98.5875

$1195 + $98.5875 = $1293.5875

$1293.5875 rounded up to $1293.59

Tim payed $1293.59  for a computer.

ala
between
What is the distance between (-8. 2.5) and (0.-4.5)?
Round to the nearest hundredth.

Answers

Answer:

B 10.63

Step-by-step explanation:

I had to solve it myself

Answer:

B,10.63

Step-by-step explanation:

Which of the following numbers has the lowest value?
A) 0.45
B) 3/5
C) 1/4
D) 0.35​

Answers

Answer:

C) 1/4

Step-by-step explanation:

I said the answer already

It takes 1 1/2 cups of sugar to make 3 batches of cookies. How much sugar is needed for each batch of cookies?

Answers

Step-by-step explanation:

3 = 3 batches

2

3/ 3

2

= 1

2

= 0.5

It would need 1/2 cup of sugar for each batch of cookies.

5 over 9 x (*F-32) equals

Answers

It is 448

Step-by-step explanation:

do the math!

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?
Y=1/2x-4, Y=1/2x-2, Y=1/2x+2, Y=1/2x+3

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

y=1/2x+b

-3=1/2(2)+b

-3=1+b

-4=b

y=1/2x-4

the set of 12 hearts represents 3/4. how many hearts represent 1?

Answers

Answer:

12 x 4/3 = 16........(total) so...

1 represent 1/16

The the set of 16 hearts represents 1.

Given that, the set of 12 hearts represents 3/4.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, number of hearts represent 1 can be determined as follows:

That is, 12 ÷ (3/4)

= 12 × (4/3)

=16

Therefore, the the set of 16 hearts represents 1.

To learn more about the fractions visit:

https://brainly.com/question/10708469.

#SPJ2

here yall goooo!

oh ye if anyone likes sad or like that vibey music
go to spotify and put " KB'S"
:P

Answers

Answer:

thank you

Step-by-step explanation:

I will listen to later

Answer:

okay .................

If two sides of a triangle are 9 and 13, the third side may be

Answers

Answer:

11.53256

Step-by-step explanation:

Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answers

Answer: 1/4 Take my word for it, I got the answer correct

Answer:

x =  1/4

Step-by-step explanation:

i know im late sorry

Francie rode her bike for 2
hours at 12 miles per hour. How far did she ride?

Answers

Answer:

24

Step-by-step explanation:

It said she rode 12 miles every hour and she rode for 2 hours.

What is the value of the expression below when y=8 2y+7

Answers

Answer:

23

Step-by-step explanation:

if y=8 then you plug it inti the equation

2(8)+7

16+7=23

Answer:

23

Step-by-step explanation:

you just replace the y with 8 because y equals 8, then you multiply and add to get the answer

8=16-8n Solve for N
N=

Answers

Answer:

N=1

Step-by-step explanation:

A farmer is traveling down a trail with his dog (who is always hungry), two geese (who are also
always hungry), and three bags of grain. Soon, the trail leads into a river but begins again on
the other side. To get to the other side the farmer must wade across the river yet he can only
carry two of his six possessions at a time. The farmer knows that, if left together, the dog will
eat any or all of the geese and any of the geese will eat all the grain they can. How can the
farmer get all of his possessions to the other side of the river safely and uneaten?

Answers

Answer:

Take the grain first, then the dog.

Explanation: The geese are geese, they can swim.

help plz!! Show work , need help on this

Answers

Answer:

Step-by-step explanation:

n = 3 => f(n) = -4*-3+8 = -44

n= 0 =>  f(n) = -4*0+8 = 8

n= 2 =>  f(n) = -4*2+8 = 0

n= 7 =>  f(n) = -4*7+8 = -20

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