if the point (6,3) lies on the graph of a direct variation, what is the constant of variation?

Answers

Answer 1

Answer:

[tex]k = 0.5[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (6,3)[/tex]

Required

Determine the constant of variation

Since it is a direct variation, the following relationship exists:

[tex]y = kx[/tex]

Where k represents the constant.

Substitute 6 for x and 3 for y

[tex]3 = k * 6[/tex]

[tex]3 = 6k[/tex]

Make k the subject

[tex]k = \frac{3}{6}[/tex]

[tex]k = 0.5[/tex]

Hence, the constant of variation is 0.5


Related Questions

What is the answer answer and plz give me step by step explaining

Answers

Answer:

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5

I need help please I am having hard time doing this

Answers

i believe it’s undefined *shrugs* haven’t done those in a while

Answer:you are corect its negetive

Step-by-step explanation:

Write this number in expanded form 36.91

Answers

Answer:

30+6+0.9+0.01 =36.91

Step-by-step explanation: Here ya go ;>

can someone please answer as soon as possible

Answers

Answer:

A) {-1,2,8}

Step-by-step explanation:

fill in all domain values in f(x) and you get:

f(-1) = -1

f(0) = 2

f(2) = 8

The set of results is the range.

Someone help me out please

Answers

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

Solve (set the terms equal to 0):

x-1 = 0     x = 1

x-5 = 0     x = 5

∴ the x-intercepts are (1,0) and (5,0).

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

Once again Plssssssss Help Meh

Answers

Store C is correct answer

In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%

Answers

I think it is b hope this helps


determine if any of the following listed pairs are congruent, select all that apply

Answers

Is there a picture I can look at?

Divide. Write in simplest form.
3/4 divided by 1/8

Answers

Answer:

when you divide 3/4 by 1/8 you get 6

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

Help out pleaseeeeeeeeeeeeeeeee

Answers

it would be 7/12 for the answer!

What is the estimated product of 1.39 × 6.76?

1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!

Answers

Answer:

7

Step-by-step explanation:

1.39 rounds to 1

6.76 rounds to 7

1 x 7=7

Answer:

1,7,7

Step-by-step explanation:

Simplify.
6² + 3²
09
O 18
O 45
081

Answers

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)

1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i

Thank you!

Answers

Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]



You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.

Answers

Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation:

When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes
(X,Y) if you have an income of RM 100?
Select one:
A. (25X, 10Y)
B. (20X, 5Y)
C. (10X, 25Y)
D. (5X, 20Y)

Answers

I would say C but I’m not completely 100% sure

Find 56(−4⋅27). Write your answer in simplest form.

Answers

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Please help!!! I will make brainliest

Answers

This is correct mark me

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

Let f(x) = 9x and g(x) = x + 7. What's
the smallest number that is in the domain of
fºg?
Enter the correct answer.
OOOO
DONE
Clear all

Answers

Answer:

Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)

Step-by-step explanation:

I'm not sure if that's right

6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?

Answers

Answer:

1/16 tons of wood per deck

Step-by-step explanation:

6/15 ÷ 8

6/15 × 1/8 (Keep Change Flip)

6/96 = 1/16

czi-txdf-gmj Aao sabhi

Answers

Answer:

hiii

Step-by-step explanation:

my name is arushi(aru)

This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Step-by-step explanation:

For every 3 squares across, the line drops by 1 square.

Therefore the slope of the lina is -1/3.

The y-intercept of the line is -8 (when x = 0)

The equation of the line is y = -1/3 x - 8.

By what percent is 16 greater than 12.

Answers

Answer:

28 i assume.

Answer:

The answer is 28% :))

Explain how to solve the equation.

B - 7 = 12 ​

Answers

Get the B by itself

So take the -7 and add it to the 12 on the other side

So now we have B = 12 + 7

So now B = 19

And now if we replace B

19-7=12

B=19

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

Please Help

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.

Answers

Answer:

12 cm

Step-by-step explanation:

Base area

14 x 7 = 98 cm²

The volume of pyramid

392= 1/3 x height x base area

Height =12 cm

The slope of a line perpendicular to y = 2x + 1 is -2.
False
True

Answers

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

Noah painted 3/20 of a fence in 1/2 a day how many days will it take him to paint the entire fence

Answers

Answer:

approximately 7 days

Step-by-step explanation:

20 ÷ 3 = 6.6 repeating, round up to 7 days

Answer:

3days and 8hours

Step-by-step explanation:

he painted 3/20 in 1/2day then

3/20 painted  for 1/2 day =12 hours so

1/20 was painted in 12/3=4 hours

since 20 /20 will be how long will be needed to paint the entire fence

20*4hour = 80hours which is (24*3)+8 that will make

3days and 8hours or

3and 1/3 days

Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s

Answers

Answer:

x=21

Step-by-step explanation:

45+x+the last angle=180

x+159=180

180-159=21

21+45= 66

180-66=114

so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry

X= 21, so the person above me is correct

Please help w/ all and leave a small explanation please! :)

Answers

A: y=2x+6
First, you have to find the slope.
As x increases by 3, y increases by 6 so the slope is rise/run so it would be 6/3 and simplify so it’s gonna be 2.
b of the y=ax+b is y-int so it’s a y value when x is 0 so in this case, 6.

B: y=-2x+8
First, you have to find the slope.
As x increases by 2, y decreases by 4 so the slope would be -4/2 and simplify so it’s gonna be -2.
b is equal to the y-value when x is 0 so in this case, 8.

C: y=3x+4
First, you have to find the slope.
As x increases by 2, y increase by 6 so the slope would be 6/2 and simplify so it’s gonna be 3.
When u solve for b, first, at this point, you have the equation y=3x+b so you’re gonna plug in random point into it so for ex, 2 for x and 10 for y(as it shows on table) and you can get 4.

D: y=-1/2x+6
First, you have to find the slope.
As x increases by 4, y decreases by 2 so the slope would be -2/4 and simplify so it’s gonna be -1/2.
When u solve for b, first, at this point, you have the equation y=-1/2x+b so you’re gonna plug in random point into it so for ex, 8 for x and 2 for y(as it shows on table) and you can get 6.
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