Explain how you calculate the constant of variation.

Answers

Answer 1

Answer:Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Step-by-step explanation:The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.


Related Questions

Just part A please as soonnn as possible I need help!!! Thanks!

Answers

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

HELP ME WITH THIS I'LL GIVE THE BRAINLIEST.

For items 6 to 9, use illustration on long division that follows:

6. Which is the dividend?

A. 5x + 5
B. 5x -5
C. 25x2 - 50x +25
D.O
7. What is the remainder?
A. 5x + 5
B.X + 5
C. -5
D.O
8. Which is the quotient?
A. 5x + 5
B. 5x -5
C. 5x² + 14x-24
D.O
9. What is the process used to obtain the 2nd line?
A. Multiplying 5x by (5x-5)
C. Dividing 5x by (5x -5)
B. Adding 5x by (5x-5)
D. Subtracting 5x by (5x -5) ​

Answers

Answer:

6) A. 5x+5

7) D. 0

8) A. 5x+5

9) I'm not sure sorry

Step-by-step explanation:

answer plss. will mark the first correct answer as brainliest!!

n is an integer.
Write the values of n such that -15 < 3n<6

Answers

Answer:

(-1,-2, -3, -4)

Step-by-step explanation:

-15 < 3n <6

-15 < 3 (-1,-2, -3, -4) <6

3 • -1 = -3

3 • -2 = -6

3 • -3= - 9

3 • -4 = -12

so all these answer still make -15 the lowest value and 6 the highest value.

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answers

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Find the 54th term of the arithmetic sequence -7, -23, -39, ...

Answers

Answer:

-871

Step-by-step explanation:

Equation: -16x - 7

54th term: -16(54) - 7 = -864 - 7 = -871

I don't understand this​

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

A rectangular swimming pool has a volume of 1750 ft.³ water is being added to the pool at a rate of about 20 ft.³ per minute. use an equation in point slope form to determine about how long will it take to fill the pool completely if there were already 1125 gallons of water in the pool use the fact that one cubic foot of space holds about 7.5 gallons of water round the answer to the nearest integer if necessary

Answers

Answer:

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water

What’s the answer for this?? Help (foolish answers will be reported)

Answers

Answer:

the answer is b

Step-by-step explanation:

they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel

Answer:

b. [tex]y=5x+1[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b[/tex]

m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)

When two lines are parallel, their slopes are the same. Note the slope of the given equation:

[tex]y=5x+7\\\\m=5[/tex]

The slope is 5, so the slope for the parallel equation will also be 5:

[tex]y=5x+b[/tex]

Now insert the given y-intercept:

[tex]b=1\\\\y=5x+1[/tex]

:Done

Reba needs to simplify the expression below.

6 and one-half + 3.5 times 2 minus 7 divided by 3

Which operation should she perform first?

Answers

Answer:

she should preform division

Step-by-step explanation:

Answer:

Actually, it's C multiplication Cutty you can't be giving Wrong answers.

Step-by-step explanation:

It's C Multiplication because Were using the PEMDAS technique and this stands for

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

So if you see in the Pemdas technique It will be C Multiplication.

Question in picture solve

Answers

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?

Answers

Answer:

50/2.80= 17

17 dounuts

The ratio of students to teachers competing in a charity race is 8:3. If 48 students take part in the race, how many teachers are
there?

Answers

Answer:

8/3=48/x

Step-by-step explanation:

times both sides by 3 8=144/x

times x by both sides 8x=144

x=18

there are 18 techers

A triangle has interior angle measures of 5s, 3s - 9°, and 45°, what is the value of s?

Answers

Answer:

s = 18

Step-by-step explanation:

an object travels at 20 m/s for 20 seconds. how far has it traveled?

Answers

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

i really need help!!!! i need answer to c:

Answers

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

Simplify.
(8) = 81
DONE

Answers

Answer:

What are we supposed to simplify? 8/81?

Step-by-step explanation:

Kailey correctly graphed the opposite of –3.3 on the number line.

A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.

Which point could be the point Kailey graphed?

Answers

The opposite of -3.3 is 3.3, so she if she graphed correctly she graphed point C

The number line shows that Kailey could have graphed the point C (3.3).

Number Line

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite Numbers

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

STEP 1 -  Plot the number line

Plot the number line with the given limits: -5 to 5. See the attached image.

STEP 2 -  Plot the given points in the number line

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

STEP 3 -  Analyse the plotted number line

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

Read more about opposite numbers here:

https://brainly.com/question/13114728

#SPJ2

What is 4n+n-2n as a simplified expression?

Answers

Answer:

4n-n

Step-by-step explanation:

I need some help does anyone know this?


A circuit has a voltage of 500 volts and a resistance of 250 ohms. What is current? V = IR

Answers

Answer:

Step-by-step explanation:  V= Voltage

                                               I= Current

                                               R= Resistance

Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I

V= 500

I= ?

R= 250

I= V/R

I= 500/250

I= 2 amps

Answer:

I know it know!!!!

Step-by-step explanation:

true or false, x =4 is a critical point to this inequality

x²-4 / x²+9x+20 is greater than/equal to 0

Answers

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

I’m not completely sure but I think that’s it’s 50cm^2

EASY QUESTION!!Example 3:


A soccer ball will not move until a player kicks it.


Group of answer choices


Newton's 1st Law


Newton's 2nd Law


Newton's 3rd Law


Give evidence or explain your reasoning for your answer to example #3:

Answers

Answer:

this is Newton's first law

Step-by-step explanation:

the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it

Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds

Answers

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3

let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?

Answers

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?

Answers

Answer: 1259 meters

Step-by-step explanation:

Highest elevation = 1232 meters

Lowest elevation = -27 meters

The difference in elevation between the highest and lowest points will be:

= 1232 - (-27)

= 1232 + 27

= 1259 meters

Note that (-) × (-) = +

f(n) = -n^3 – 4ng(n) =
-n +4Find: f(n) +g(n)

Answers

Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

What do you have to increase a number by to change it's place value

Answers

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

Graph this line using the slope and y-intercept:
y=9/10x+1

Answers

Answer:

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

slope is 9/10

y-intercept is 1

9 = -d + 17

A.-2
B.8
C.10
D.-8

Answers

Subtract 17 from both sides

9= -d+17
9 - 17 = -d + 17 - 17

-8 = -d

Then divide.

-8/1 = -d-1

Cancel terms that are in both numerator and denominator

Answer:
8 = d
Pringles exposed for being nazi corporation? Here’s evidence for my claim

Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?

Answers

20/50 if they ask to simplify it is 2/5

All you have to do is take the amount and do probability like a fraction
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