What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above

Answers

Answer 1

Answer:

(b)

Step-by-step explanation:

This is inverse variation.  As y increases (but not allowed to be zero), x decreases.  Thus, (b) is correct:  y varies inversely with x.

Answer 2

The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q,

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  

where, that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then, m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As , increasing one variable will decrease the other variable if both are inversely proportional.

Here the relation between the variables in the equation x= -3/y;

This is inverse variation, As y increases (but not allowed to be zero), x decreases.

Thus, (b) is correct, y varies inversely with x.

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Related Questions

CD and EF are parallel lines. AB is a straight line

Answers

Answer:

x =42

q = 135°

p + q + r = 225°

Step-by-step explanation:

a)

Since, AB and BC are perpendicular lines.

[tex] m\angle ABC = 90\degree \\

\therefore 24\degree + x\degree + 24\degree = 90\degree \\

\therefore x\degree + 48\degree = 90\degree \\

\therefore x\degree = 90\degree - 48\degree \\

\huge \red {\boxed {\therefore x = 42}} \\[/tex]

b) (i)

Since, CD and EF are parallel lines and AB is a straight line.

[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\

p + 135\degree = 180°..(straight\: line \: \angle' s) \\

p = 180\degree - 135\degree \\

\huge \purple {\boxed {p = 45\degree}} \\

\because r = p ... (vertical \: \angle 's) \\

\huge \purple {\boxed {r = 45\degree}} \\

p + q + r = 45\degree + 135\degree + 45\degree \\

\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]

The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5

Answers

To find the mean, you add up all the values and divide by how many there is. So... excluding Kim’s score there are 7 students scores. Now add all the scores up which will give you 611. 611/7 = 87.286

That will give you B

Hope this helps! :)

Answer:

87.2

Step-by-step explanation:

90+93+87+83+86+90+82=611

611/7=87.29

answer is b

Two bags contain coloured cubes.
Bag 1 has 3 red cubes and 1 blue cube.
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.
Is the probability that you will get a red cube from Bag 1 and the yellow cube from Bag 2 more or less than the probability of getting the blue cube from Bag 1 and a green cube from Bag 2? Explain.

Answers

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

5x - 10 = 0 in division property of equality form

Answers

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

I WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

A

Step-by-step explanation:

the answer would be A

Find the 19th term of this Geometric Sequence: 3, 6, 12, 24, 48, 96, ........ *

Answers

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .Geometric Sequence:

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].

Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.

[tex]a_{19}=3(2)^{19-1}[/tex]

[tex]a_{19}=3(2)^{18}[/tex]

[tex]a_{19}=3(262144)[/tex]

[tex]a_{19}=786432[/tex]

Therefore, the 19th term of the given geometric sequence is 786432.

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what is the sigh of 48 2/9 + (-39 8/9)
Choose 1 answer:
Positive
ON
Negative
Neither positive nor negative-the sum is zero.​

Answers

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student need to go completely around the outside of the frame?​

Answers

Answer:

B

Step-by-step explanation:

Circumference is equal to [tex]\pi d[/tex]

[tex]C=\pi d[/tex]

[tex]C=\pi \times 8[/tex]

Answer:

there u go

Step-by-step explanation:

Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12

Answers

Answer:

The second figure is the correct figure.

Step-by-step explanation:

Graph (ii) is solution of system of equation.

We have to given that,

System of equations are,

2x + y = 3

3y = x - 12

Now, Solve the equations and find the solution,

Here, Equations are,

2x + y = 3  .. (i)

3y = x - 12  .. (ii)

From (i);

y = 3 - 2x

Substitute in (ii);

3 (3 - 2x) = x - 12

9 - 6x = x - 12

9 + 12 = 6x + x

7x = 21

x = 3

And from (i);

2 × 3 + y = 3

6 + y = 3

y = - 6 + 3

y = - 3

Hence, Solution is, (3, - 3).

So, Graph shown in option (ii) has intersection point (3, - 3)

Thus, Graph (ii) is solution of system of equation.

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What is the value of the product (3 – 2i)(3 + 2i)?

timed test please help me

Answers

Answer:

the answer is 9-4i

Step-by-step explanation:

multiply

Nsnnsjakaokasjnxnamqmsmx xndkekqkqlq

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

Answers

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

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What is four times four need help

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 times

Step-by-step explanation:

the four times four need help is just asking 4×4 which is 16

Wendy and her friend Sandra went to dinner. Their total food bill was $25.00. The tax was 7%. How much was the tax? How much was the bill including the tax?

Answers

Answer:

the answer is 175

Step-by-step explanation:

you will do 2500*7/100

Three friend went out to eat pizza. Their pizza costs 15.63 and drinks cost 1.29 each. Salad costs 2.45. If they plan to share the cost of the pizza.How much will each person pay? Plz helppp

Answers

Answer:

Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21

Step-by-step explanation:

15.63/3=5.21

One friend pays for the rest.

1.29*3=$3.87=drinks

salad=$2.45

5.21+3.87+2.45=11.53

Answer:
Each person will pay $5.21 when they split the cost of the pizza. Each person will pay $8.95 when for their individual order (a drink, a salad, & their cut of the pizza).


Explanation:
We will start by finding out how much each person will pay for the pizza ONLY. To do that we divide the cost of the pizza by the number of people intending to pay.

15.63 / 3 = 5.21

So, each person will pay $5.21 for the pizza.

Next, we are going to find the total cost of one person order. This time we will be adding how much they will be paying for the pizza with the costs of their drink and salad.

5.21 + 1.29 + 2.45 = 8.95

Therefore, each person will pay $8.95 for their order.

Factor the polynomial: x(6x - 1) – 3(6x - 1)
O A. -3x(6x - 1)
O B. 3x(6x - 1)
O C. (6x - 1)(x - 3)
O D. (6x - 1)(x + 3)

Answers

Answer:

C.

Step-by-step explanation:

x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)

The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).

The correct option is C.

To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.

The given expression can be rewritten as:

x(6x - 1) - 3(6x - 1)

Now, we can factor out the common factor (6x - 1):

(6x - 1)(x) - (6x - 1)(3)

Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:

(6x - 1)(x - 3)

Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).

Option C: (6x - 1)(x - 3) is the correct answer.

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Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it

Answers

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

Answer: c⁶

Step-by-step explanation:

Notes: A variable without a given exponent has an "invisible" exponent of 1.

When multiplying two values with the same base, add the exponents.

[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]

(-2,-1) is a solution of the equation 4x + 5y = -13.

Answers

Answer:

true

Step-by-step explanation:

4x + 5y = -13.

Substitute the point in

4(-2) + 5(-1) = -13

-8+-5 = -13

-13 = -13

This is true so the point is a solution

At the start of the week, Ladasha’s checking account had a balance of $34. She deposited $50 each day for three days. She made a $60 withdrawal on the fourth day. Ladasha also wrote a check for $22. Explain how you can write an expression to show the account balance at the end of the week.

Answers

Step-by-step explanation: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

Sample Response: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

Which equation represents a proportional relationship?

y = 5x + 2
y = 100 x
y = 16x2
y = 6x

Answers

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?
2.£400 is deposited in a bank paying 1.75% compound interest per annum. What is the balance after 2 years?
3.£800 is deposited in a bank paying 7% compound interest per annum. What is the balance after 2 years?
4.£700 is deposited in a bank paying 4.75% compound interest per annum. What is the balance after 6 years?
5.£4600 is deposited in a bank paying 3.75% compound interest per annum. What is the balance after 5 years?
6.£6000 is deposited in a bank paying 13% compound interest per annum. What is the balance after 4 years?
7.£200 is deposited in a bank paying 0.75% compound interest per annum. What is the balance after 2 years?
8.£7100 is deposited in a bank paying 15.75% compound interest per annum. What is the balance after 13 years?
9.£6600 is deposited in a bank paying 16.75% compound interest per annum. What is the balance after 15 years?
10.£8600 is deposited in a bank paying 15% compound interest per annum. What is the balance after 17 years?

Answers

Formula for compound interest: A = P( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

^ = I used this symbol to present that a the number needs to go higher (see picture)

1. 500(1 + 2/100)^2 = 520.2

£520.20

2. 400(1 + 1.75/100)^2 = 414.12

£414.12

Please help! Correct answer only!

For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Geno is running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice.

Answers

Answer:

22

Step-by-step explanation:

Answer:

22 yd

Step-by-step explanation:

John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours?

Answers

Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]

Hope this helps!

based on one of the triangle congruence postulates the two triangles shown are congruent​

Answers

Answer:  b) FALSE

Step-by-step explanation:

In order to show triangle congruency, you must be able to prove one of the following theorems:

SAS: Side-Angle-Side

SSS: Side-Side-Side

AAS: Angle -Angle-Side

ASA: Angle-Side-Angle

HL: Hypotenuse-Leg   (can only be used for right triangles)

We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.

Consider the following equations:


−x − y = 1

y = x + 3


If the two equations are graphed, at what point do the lines representing the two equations intersect?



a

(−1, 2)


b

(−2, 1)


c

(1, −2)


d

(2, −1)

Answers

Answer:

The Answer is: (-2,1)

Step-by-step explanation:

What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9

Answers

Answer:

The operations done first are:

a)  42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first

b)  42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first

Step-by-step explanation:

from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:

(17 - 15) = (2) ;  and (3 + 1) = (4) ;  hence the expression will be simplified as follows: 42 (2) / (4) - 5.

Next, since there is no exponent in the expression, Multiplication follows:

42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5

Next division follows : 84/4 = 21, therefore the expression becomes

21 - 5.

Finally, subtraction follows : 21 - 5 = 16

b)  5 + 7 x 2 - 9;

first, multiplication is done: 7 × 2 = 14, hence the expression becomes :

5 + 14 - 9.

Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:

19 - 9.

Finally, subtraction follows: 19 - 9 = 10

Answer:

multiply

Step-by-step explanation:

Can someone please help me :(

Answers

Answer:

Step-by-step explanation:

ok its AAS because if you see the most aperent thing on the trangle is that

Answer:

AAS

Step-by-step explanation:

The two triangles are congruent because they have two equal angles and one side

Find the slope of the line that passes through the points (-1, -2) and (-9, -2)

Answers

Answer:

0

Step-by-step explanation:

Ok use the equation: (Y2 - Y1) / (X2 - X1)

((-2) - (-2)) / ((-9)-(-1))

0/ -8

we know that 0 divided by any number is 0

so slope = 0

Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?

Please help!!! Imma mark you the brainliest!!​

Answers

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

12% is the very correct answer ever

Same-side interior angles form when a transversal intersects with two parallel lines, making the same-side interior angles supplementary.
O True
O False

Answers

I believe the answer is trye
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Consider the equations of the two lines below:Line A:y=-3x - 7Line B: y = x - 4Are the lines Parallel, Perpendicular or Neither? Explain. 3. The educational setback that occurs when students forget some of the information theyLearned uring the school year is known as what? | 5.Some people believe George Washington was the greatest president of the United States because he was the very first president.This statement is an example of which of the following?experimentationdataopinionresearch Of one of the planets becomes a black hole , what would the escape speed be? 3. Which is a qualification for reparations?a You live in the United States,b. you have atleast one ancestor who was enslaved.c. You identified yourself as Alican Americanon a legal document dating back at least 10 years.d. Qualifications have not yet been determined Hugo Crosthwaite likes to paint narrating of storytelling _____ procession that includes the profane and the ____ marching together When you ride a bicycle, in what direction is the angular velocity of the wheels? When you ride a bicycle, in what direction is the angular velocity of the wheels? to your right forwards up to your left backwards g A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From telephone book listings, the committee chooses 80 businesses at random. Of these, 46 return the questionnaire mailed by the committee.a) What is the population for this sample survey? The population in this situation is _______ (none, some, most, or all) of the __________(local business or college students) . b) What is the sample? The sample is the ______(enter exact number) of ___________ (local business or college students) selected. c) What is the rate (percent) of nonresponse? Solve for x in the equation x squared minus 12 x + 59 = 0. The following question is based on your reading of A Midsummer Nights Dream by William Shakespeare.Why are the Royals in the woods?a.They are hunting.c.They are drunk.b.They are celebrating the wedding.d.They are lost.Please select the best answer from the choices providedABCD Just need help with question A Which statement about this figure is true?a. it has rotational symmetry with an angle of rotation of 90b. it has no reflectional symmetryc. it has reflectional symmetry with two lines of symmetryd. it does not have symmetry point Identify the abstract noun1. Chair2. Model3.Angry4. Hatred SOLVE FOR 20 pls hurry A pistoncylinder device contains 0.85 kg of refrigerant- 134a at 2108C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the temperature is 158C. Determine (a) the final pressure, (b) the change in the volume of the cylinder, and (c) the change in the enthalpy of the refrigerant-134a. When the Thirteenth Amendment abolished involuntary servitude, it became illegal to 1 (emancipate any individual or group.) 2 (force one person to work for another person.) 3 (hire workers for low wages and long hours.) 4 (vote against slavery in a Confederate state.) I need help! Please What is the meaning of conaculta? Use the graph to find the solution to this system of linear equations. Mary offered to sell Mike several pieces of rare Chinese art at a very good price because they were duplicates in her own collection. Mike could not accept the offer at that time, but he did give Mary $500 in return for her promise to keep her offer open for three (3) weeks. Mike returned with the agreed-upon balance two weeks later to find that Mary already had sold the pieces she had offered to sell to him. Mary explained that she had been able to get a better price from another buyer. She offered to return Mike's $500 and insisted that this was all she was obligated to do. Is Mary right?