If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation


Related Questions

An automobile manufacturer produces 79​% of its cars at plant A. If 5​% of the cars manufactured at plant A have defective emissions control​ devices, what is the probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device?

Answers

Answer:

79

over

2000 or 79/2000 or 3.95%

Step-by-step explanation:

The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is 6.33%.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, An automobile manufacturer produces 79​% of its cars at plant A and 5​% of the cars manufactured at plant A have defective emissions control​ devices.

∴ The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is,

= (5/79)×100%.

= 6.33%.

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Simplify the expression.
5(2 +t) – 3(t + 1)
please help as soon as possible

Answers

Answer:

7 + 2t is the simplest form of your equation.

Hope this helps! :D

Find the amount of an annuity that consists of 25 quarterly payments of $800 each into an account that pays 8% interest per year, compounded quarterly. (Round your answer to the nearest cent.)

Answers

Answer: 400

25 x 800 = 20,000 x 8% = 1,600 / 4 = 400

Which of the following equations represents the graph shown? ​

Answers

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

x

b = y-intercept

Two angle measures of this triangle are 60°. Which type of triangle is it? O A. obtuse O B. scalene O C. equilateral O D. right​
plz need help now :(

Answers

Answer:

equilateral

Step-by-step explanation:

all the sides are equal

when is a supplier standards form required to be provided to the beneficiary cvs

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Answer:

AOB forms must be collected every time a beneficiary fills a Medicare part b prescription

can someone gimme the answer please

Answers

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

(x,y) -> (x , 1/4 y)  .. vertical compression

Rob has dimes and quarters in a jar the ratio of dimes to quarters is 3 to 7 the jar contains 47 quarters what is the total amount of money in the jar.

Answers

Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.

47 / 7 = 6 (with remainder left over)  

In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.

20 Dimes = $2

47 Quarters = $11.75

11.75 + 2 = 13.75

So there is about $13.75 in the jar.

Gary weighed 187 pounds after graduating
high school. 5 years later he weighs 228
pounds. By what percentage has his weight
changed?
Plz helppppppp

Answers

eat chili snacks and spicy to burn fat

300000÷_________=300.

Answers

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Slove for x : 4x - t = a

Answers

we have:   4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]

ANSWER: x = [tex]\frac{a+t}{4}[/tex]

ok done. Thank to me :>

Suppose that 26% of people own cats. If you pick two people at random

Answers

Answer:13 percent would have cats and the other 13 percent wouldn’t

Step-by-step explanation:plz mark for brainlist

Thank you

Given:
Probability of a person owning a dog is 0.28
Choose two persons at random, find probability that both are dog-owners.

Solution:
probability of dog-ownership for one person chosen at random = 0.28
probability of dog-ownership for two persons chosen at random = 0.28%5E2+=+0.0784

Answer: probability of two dog-owners out of two randomly chosen persons is 0.0784.

Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.

Answers

8y - x + 7 = 0 => y = 1/8x - 7/8
The slope is: 1/8
Ok done. Thank to me :>

Can someone help me please

Answers

Answer: 56 times

Pls mark brainleist i really need it

pls help wiht this question ill give you 69 points whoever awnsers

Answers

Answer:

what's thequestion?

Step-by-step explanation:

what question it doesn’t say

is 5.243 greater, equal to ,or less than 5.4?

Answers

Answer:

5.243 is less than 5.4....

5.243 is less than 5.4

A student is told to work any 8 out of 10 questions on an exam. In how many different ways can he complete the exam

Answers

Answer:

Step-by-step explanation:

Assuming the order in which he answers the questions matter the answer is the number of permutations of 8 in 10.

This is 10! / (10-8)!

= 1,814.400.

If the order does not matter then the answer is the number of combinations of 8 from 10:

This is 10!/8!*2!

= 45.

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.

C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.

D.
There is not enough information

Answers

Answer:

Hello again! Fellow Connexus user? Because I just had this on my Honors Algebra 1 test today. Anyways the answer is: A. x + y = 126 and 2.25x + 1.50y = 225.75; 49 Hot Dogs and 77 Sodas.

Step By Step Explanation:

To verify just use the substitution method to solve the equations x+y=126 and 2.25x + 1.50y = 225.75 then you'll get your x (Number of Hotdogs) and y (Number of Sodas)

Hope this helps!

The required equations are use to solve this problem;

[tex]x + y =126[/tex]

[tex]2.25x + 1.50y = 223.75[/tex]

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

[tex]x + y =126[/tex]

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

[tex]2.25x + 1.50y = 223.75[/tex]

On solving both the equation,

[tex]x + y = 126\\\\x = 126-y[/tex]

Substitute the value of x in the equation 2,

[tex]=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= - 0.75 y = 225.75 - 283.5\\\\= - 0.75y = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77[/tex]

Then,

Substitute the value of y in the equation 1,

[tex]x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49[/tex]

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

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Van is watching birds in his backyard. There are 9 sparrows or 45% sparrows. How many birds are in his backyard?

Answers

Answer:

11

Step-by-step explanation:

The mother is really tall (T) and the allele for this particular trait is dominant to the short (t) gene. The fathers phenotype is short (t). What will the genotype and phenotype percentages be for the the F1 generation? (hint: there may be more than one possible answer).

Answers

If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.

Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would

• geno:   0% TT : 100% Tt : 0% tt

• pheno:   100% tall : 0% short

Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,

• geno:    0% TT : 50% Tt : 50% tt

• pheno:   50% tall : 50% short

Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.

Answers

Answer:

600-230=L

Step-by-step explanation:

L means Left or What's left

Which term of the AP 21, 18, 15 ...... is -81 ?​

Answers

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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Which term of the AP:3, 8, 13, 18,...,is 78?

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help me please I'm stuck on this question​

Answers

Answer:

1 : 3.5

Step-by-step explanation:

8 : 28 = 1 : n

n = 28 * 1 : 8

n = 3.5

1 : 3.5

Translate and simplify: the product of –12 and the difference of p and q.

Answers

Hey there!

“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”

p & q is/are the variables, whereas -12 is a coefficient

“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”

Product = multiply/multiplication

“-12 ×”

DIFFERENCE

“p - q”

So, based on that information we have your answer: “-12 × p - q”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function

Answers

Answer:

No

Step-by-step explanation:

No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.

What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps

Answers

Answer:

laps per minute

Step-by-step explanation

because it is asking you to find the unit of laps per minute.

Okie I need help I don’t understand thank you

Answers

Answer:

12

Step-by-step explanation:

8x+4x = 12x

-3+3= 0

12x+0=180

x=180/12

x=15

Ax+2y=10 through the point (4,3) find the missing coeffecient

Answers

Hi,

Ax + 2y = 10

A*4 + 2*3 = 10

4a + 6 = 10

4a = 4

a = 1

( 4 ; 3 )

↓ ↓

x y

✅(•‿•)

Coffee is priced at 6.63

Answers

Answer:

ok, anddddd???

Step-by-step explanation:

Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. How much will Joel pay for the tablet?

Answers

Answer:

161.5 $

Step-by-step explanation:

the cost of table after the discount = 100% - 20% = 80%

the cost of table after the discount = Original cost × 80%

=(190)(0.8)

=152 $

the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)

=152+(190)(0.05)

=152+9.5

=161.5 $

So... The total amount will Joel pay for the tablet = 161.5 $

He will pay $166.95

You take the original asking price ($190) you find 20% of 190 which is 38. Then you subtract 38 from 190 you get 152. Next you do 5% of 152 and you get 7.95. Finally you add 7.95 to 152 and you get 166.95.
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