Is f(x)=6x a direct variation

Answers

Answer 1

Answer:

[tex]f(x)=6x[/tex] is a direct variation.

Step-by-step explanation:

Given the function

[tex]f(x)=6x[/tex]

We have to determine whether the equation [tex]y=6x[/tex] is a direct variation or not.

As we know that in direction variation, y and x increase or decrease by the same factor by the formula

[tex]y=kx[/tex]

where 'k' is the constant of variation

Given the function

[tex]y=6x[/tex]

Here 6 is the constant of variation            ∵ [tex]y=kx[/tex]

Also y and x increase and decrease by the same factor

For example,

when x=6, y = 6(x)=6(6)=36

when x=8, y = 6(x) = 6(8) = 48

Hence, when x increase, the y increases by the same factor.

Therefore, [tex]f(x)=6x[/tex] is a direct variation.


Related Questions

Sonia made a graph showing the first 10 minutes of her drive to the movies which description is best interpretation of the graph

Answers

there is no description:/

1. Write a point slope form of the equation of a line through the given points: (2, 3) and (-5, -5)

Answers

Answer: 8/7
delta y/ delta x
-5-3/-5-2
-8/-7
slope = 8/7

Answer:

y = 8/7x + 5/7

Step-by-step explanation:

Change in y over change in x to get the slope.

Lisa has 6 hours of studying to do. If she divides her study time into 1/2-hour sessions, how many study sessions will she need?

Answers

Answer:

12 i think?

Step-by-step explanation:

The greatest common factor of 4xy and -6xy

Answers

Answer:

The greatest common factor is 2x

I think it’s 2xy bc 2xy fits into both of those

Please help will give brainliest and extra points.

1. The coordinate points below show part of data collected by a computer company interested in how fast people type as they get older, where x is age in years and y is typing speed in words per minute. (5, 12), (13, 25), (12, 22), (18, 45), (15, 39), (15, 32), (16, 33), (17, 40), (7, 17) If this data was plotted on a scatter plot, would there be a relationship between the variables? If yes, explain the relationship.

Answers

Im not sure about the given data but I plotted the scatter plot based on what I understand on how the data should be presented.

Time (years)

3, 6, 9, 12, 15, 18, 21, 24

Number of participants(x1000)

22, 25, 28, 14, 17, 20,15, 9

Attached is the scatter plot created online.

x = time (years)

y = number of participantep explanation

Help me out please its with triangles and stuff

Answers

Answer:

11 in = 33 in.

Step-by-step explanation:

6 in. = 18 in.

the second triangle is 3 times bigger than the smaller one.

Answer: 33
If 6 is scaled to 18 then you just multiply by 3.
11x3=33

Please help me it would be helpful

Answers

Adam has a greater rate of change, as seen by the larger slope. This means Adam is traveling faster than Katia.

Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
the addition property of equality and then the division property of equality
the addition property of equality and then the multiplication property of equality
the subtraction property of equality and then the division property of equality
the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides

Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

the addition property of equality and then the division property of equality

Answer:

A) the addition property of equality and then the division property of equality

Step-by-step explanation:

solve as multi-step eqaution 24(34 + r) = 1200

Answers

The value of 'r' in the expression 24(34 + r) = 1200 is 16.

What are the basic properties of arithmetic laws of operations?

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 24(34 + r) = 1200.

First, we'll distribute LHS,

24×34 + 24×r = 1200.

816 + 24r = 1200.

24r = 1200 - 816.

24r = 384.

r = 384/24.

r = 16.

learn more about the distributive property here :

https://brainly.com/question/5637942

#SPJ2

Passing through (12,3)
perpendicular to
y + 3x = 4

Answers

Remember the formula?
m1m2=-1

Brainliest FAST & CORRECT!!!

Answers

Answer:

oop

Step-by-step explanation:

Answer:

It is the 4th choice mark me brainliest

Step-by-step explanation:

Anyone know this one? Quick!

4(x – 5) + (3x + 15) – 5x

Answers

Answer:

4(x-5)+(3x+15)-5x

4x-20+3x-20+15=0

collect like terms

4x-5x+3x-20+15=0

2x-5=0

2x÷2=5÷2

x=5÷2

−8⋅f(1)−4⋅g(4)= Help me ASAP

Answers

Answer:

sorry I can

Step-by-step explanation:

why wala pa kame jan sorry wait kalang

Help plz:))) I’ll mark u brainliest
ASAP!!!

Someone in your class tells you that all equilateral triangles are isosceles triangles. Are they correct? Use definitions or theorems to support your answer .

Answers

Answer:

No

Step-by-step explanation:

Equilateral means all three side is equal the they have the same angle or side

In isosceles triangle only 2 side is equal the third one is different so two angles are same and one different

9x^2+16=0 what are the solutions

Answers

X=4i/3,-4i/3

Need 20 characters

a number between 61 and 107 that is a multiple of 3, 6, and 7

Answers

Answer:

42?

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Multiples of 3 in this range: 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105

Multiples of 6 in this range: 66, 72, 78, 84, 90, 96, 102

Multiples of 7 in this range: 63, 70, 77, 84, 91, 98, 105

If we look at these multiples, we see that 84 is the only number to show up in every list. Meaning, the answer is 84.

I don’t really understand this can someone help please?

Answers

Answer:

23 degrees

Step-by-step explanation:

So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest

Answer:

23

Step-by-step explanation:

Ans is in attachment

hope it helps :)

plz mark as brainliest

-19.86 as A Fraction: How did you do it?
Need Help Please!!

Answers

Answer: -993/50 or -19 43/50

Step-by-step explanation:

-19.86 = -19 86/100

-19 86/100 = -19 43/50

or -993/50

oh my god someone just deleted my question when it was a positivity corner with motivational messaged smh!​

Answers

Answer:

Whatttt that person is negative they need that positivity but yet they deleted that positivity corner with a motivational message. Sad

PLSSS HELP PLSSSS IM SUFFERING IM NOT A LAZY NOR BAD STUDENT BIT THIS IS HARD FOR MEEE PLSSS HELPPP

Answers

Answer:

OOP

Step-by-step explanation:

oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop!

Factor.
9y2 - 12y - 12 Please put it as (x+b) (x+b) form

Answers

Answer:

3(3y+2)(y-2)

hope this helps

Answer: 3(3y+2)(y-2)
Solving Steps:

How many soap cakes can be placed in a box of size 56 cm x 0.4 m 0.26 m, if the size
of a soap cake is 7 cm x 5 cm x 2.5 cm?​

Answers

Answer:

length of box = 56cm

breadth = 0.4m = 40cm

height = o.25m = 25cm

Volume of Box = Volume of soap × n

n = number of soaps.

LBH = lbh × n

56 × 40 × 25 = 7 × 5 × 2.5 × n

n = 56×40×25/35×2.5

n = 56000/87.5

n = 640

so, 640 soaps can be placed in the box.

Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne walk in all? garbage dump car dealer .

Answers

Answer:

I want to say seven units  

Step-by-step explanation:

I believe he went 4 units up and 3 units left if he went to just the car dealership , post office and Garbage dump .

Hope I could help -

Sleepy~

the answer is 7.

explanation: count

Solve for x

7x = -27

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

[tex] - \frac{27}{7} [/tex]

Step-by-step explanation:

We want to get x alone so we need to get rid of the 7 in front of it.

7x=-27

Divide each side by 7

x= -27/7

This can't be simplified anymore so this is your answer.

The answer is -27/7

Hope this helps!

Plzzz help me with number 10 I’m sooo stuck hurry

Answers

B i think...

And arithmetic sequence is adding or subtracting

please help 6th grade math i will mark brainliest to 1 answer select all that are equivalent to 15%

Answers

Answer:

.15

Step-by-step explanation:

Answer:

.15, 3/20

Step-by-step explanation:

2x + 5y = -5
x + 3y = 3

Find the solution to the system algebraically

Answers

Answer:

-2y=-5x=3

Step-by-step explanation:

Make sure every variable is on one side of the equation and you get the answer.

can someone please help

Answers

Answer:

The fourth answer

Step-by-step explanation:

Answer:

{6,9}

Step-by-step explanation:

The table values are given as;

x   y

0  0

2  3

4  6

Take the values as coordinates in form of {x, y} , to have the following;

{0,0} , {2,3} , {4,6}

Find the slope using the coordinates as;

m=Δy/Δx

m=3-0/2-0 = 3/2

The slope m = 3/2

So from the answer choices, the coordinates that can give a slope of 3/2 will be:

{6,9}

The x coordinates increase by 2units while those of the y coordinates increase by 3 units.

Can anyone help please

Answers

When You divide numbers it makes the value smaller so subtracting the exponents will make the value with that base smaller

Answer:

Well multiplication is the inverse of additon. And when multiplying you add the exponents.

So when dividing you subtract the exponents

Write the unit rate for the situation. Please help

24 animals in 2 square miles

Answers

Answer:

12 animals per hour

Step-by-step explanation:

This is a fraction equal to

24 animals ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

24 animals ÷ 2

2 hours ÷ 2

=  

12 animals

1 hour

=  

12 animals

hour

= 12 animals per hour

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