Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.

Answers

Answer 1

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4


Related Questions

HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO FIRST PERSON WHO ANSWERS CORRECTLY!
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
A). 9
B). -9
C). 7
D).-7

Answers

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

Can anyone please help me with these questions 2. a-b 3. a-b 4. a-b and number 5?

Answers

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

__

5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Brainiliest if right 3. Solve the following equation.

-y/7 = 35

A. -245

B. 5

C. 245

D. -5

Answers

Answer:

The answer is -245

Step-by-step explanation:

You solve for y by simplifying both sides of the equation, then isolating the variable, of which is -245.

Answer:

B.

Step-by-step explanation:

I am not sure if this is right

Help me plssss!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

the 0.1 is rate of change decreasing and 10.1 is original amount

Need help on the first one! Will mark brainliest :)

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula

Regina orginally packed 10 goodies bags for her birthday party. She found out the day before the party that a few more friends would be attending so she made three additional bags for the party. Write an algebraic expression to represent the total number of candies and toys that Regina made for her birthday party.

Answers

Answer:

c + t = 13

Step-by-step explanation:

Regina originally packed 10 goodies bags for her birthday party. She found out the day before the party that a few more friends would be attending so she made three additional bags for the party. Write an algebraic expression to represent the total number of candies and toys that Regina made for her birthday party.

Let the number of candies = c

Let the number of toys = t

The total number of goodies bags she made = 10 + 3 = 13 goodie bags

Hence,

The total number of candies and toys that Regina made for her birthday party

c + t = 13

Match the equation and the description non-proportional Realationship

Answers

Answer:

A. [tex]y =\frac{7}{8}x+1[/tex]

B. [tex]y = -10x[/tex]

C. [tex]y = 2.5x - 7[/tex]

D. [tex]y = 1.2x[/tex]

E. [tex]y = -5x -8[/tex]

Step-by-step explanation:

Let the descriptions be A to E.

First, we need to note the followings.

An equation is of the form

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

[tex]m = slope[/tex] and [tex]b = y\ intercept[/tex]

A. Non proportional graph with positive y intercept

From the list of options, only

The slope of [tex]y =\frac{7}{8}x+1[/tex] is positive

and y intercept is also positive

B. Negative slope and pass through the origin.

Negative slope means m is negative

From the list of options

[tex]y = -10x[/tex] and [tex]y = -5x -8[/tex]

Origin implies (0,0)

i.e: [tex]x = 0[/tex] and [tex]y = 0[/tex]

For y = -10x

[tex]0 = -10 * 0[/tex]

[tex]0 = 0[/tex] --- This is true

For [tex]y = -5x -8[/tex]

[tex]0 = -5 * 0 - 8[/tex]

[tex]0 = 0 - 8[/tex]

[tex]0 = -8[/tex] --- This is not true

Hence:

[tex]y = -10x[/tex] fits this description

C. Increases from left to right and b is negative

For b is negative, we have the following:

[tex]y = -5x -8[/tex] and

[tex]y = 2.5x - 7[/tex]

An increment from left to right, means the slope is positive.

So, we have:

[tex]y = 2.5x - 7[/tex]

D. Positive slope and contains (0,0)

From the options, we have the following functions left:

[tex]y = -5x -8[/tex] and

[tex]y = 1.2x[/tex]

But [tex]y = 1.2x[/tex] has a positive slope and also contain (0,0) because

[tex]0 = 1.2 * 0[/tex]

[tex]0 = 0[/tex]

E. Negative m and Negative b

[tex]y = -5x -8[/tex] has these descriptions

Find the solution(s) to (x- 3) = 49. Check all that apply.
OA X=-10
B. Xx=-4
C. x-7
OD. X=-7
OE. X= 10

Answers

Answer:

B.x= -4 and E. x= 10 are the answers

4/3 divided by 2/5...............

Answers

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

Reba used 12 centimeters of tape to wrap 3 presents.How much tape will Reba need in all if she has wrap 6 presents?

Answers

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

Evaluate f(x) = 4 - 5x for f(-2)
*

Answers

Answer: the answer would be X E R

Step-by-step explanation:

Find the measure of the numbered angle.
m∠7 =

Answers

Answer:

∠7 = 90°

Step-by-step explanation:

∠7 = 180 - 90

∠7 = 90°

see image below

Answer:

90°

Step-by-step explanation:

angle 7 is supplementary to the angle next to itself which has a measurement of 90° and since the sum of two supplementary angle would be 180° we can say that m<7 = 90° as well

A concert charges $5 for a children's ticket and $11 for an adult’s ticket. One Saturday, the theater sold 1200 tickets for $10,800. How many children’ tickets and adults’ tickets were sold?

Answers

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

someone please solve and find the corresponding angles thanks

Answers

the correct option is b

Use the diagram below in which P is the incenter of JKL, PN =21 and ML=27 . Find PO, LO, and PL

Answers

Answer:

1. PO = 21

2. LO = 27

3. PL = 34.2

Step-by-step explanation:

1. Since P is the incenter, that means it is equidistant to each side at a right angle. As a result PN, PO, and PM are equal to each other.

We know that PN is 21. Since PN and PO are equal to one another, PO = 21.

2. ML is equal to LO. ML is 27, so LO is also 27.

3. To get PL you will have to do the Pythagorean Theorem. Square the legs and set it equal to the hypotenuse squared.

* It should be: 27^2 + 21^2 = x^2.

Once you solve and round to the nearest tenth, you will get 34.2.

10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?

Answers

Answer:

12 Pints

Step-by-step explanation:

There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.

1.5 x 8

=12

What property justifies that
6
x
+
9
3
=
2
x
+
3
?

Answers

Answer:

Distributive Property

Step-by-step explanation:

Brainliest Please!

Which points define the solution set of this linear-quadratic system of equations

Answers

Answer:

At point C (-0.5,2)

At point E (1,5)

Step-by-step explanation:

The points that defines the linear quadratic equation system is as follows:

As we can see that the point E and Point C are the solutions set that have an intersections between the parabola i.e. blue and the red line also they are on the both curves at the same time. In addition to this, their coordinates satisfy the both equations in the similar time

Hence, the same is to be considered

Plz help

Simplify 6(x + 4)

Answers

Step-by-step explanation:

Given

6( x + 4)

= 6x + 24

Hope it helps :)❤

Final Answer: [tex]6x + 24[/tex]

Steps/Reasons:

Question: Simplify [tex]6(x + 4)[/tex]

Step 1: Expand by distributing the terms.

[tex]6x+ 6[/tex] × [tex]4[/tex]

Step 2: Simplify [tex]6[/tex] × [tex]4[/tex] to [tex]24[/tex].

[tex]6x + 24[/tex]

~I hope I helped you :)~

Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is

Answers

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z

What is the value of the sin3x/6x; as x approaches to zero

Answers

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

plz help me with this i´ll cashapp you 10$

Answers

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Name each type of slope

Answers

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

HELP ME PLEASE I WILL GIVE BRAINLIEST PLEASE PLEASE
Sandra wants to have her new technology up and running as soon as possible. She is looking for a tool that she can download and use right away. She is evaluating _____.




features


operating expenses


templates


availability

Answers

Answer:

i beleive it answer is b.) operating expenses

Step-by-step explanation:

i say that because she is looking for a quick way to operate the computer without any expense.

If correct plz mark brainly :)

Answer:

availability

please help, i’m so confused ahhh

Answers

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

pls help how do u do this???

Answers

Answer:

well well well

Step-by-step explanation:

free points

i need to find the measure of the exterior angle of the triangle ​

Answers

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

can i plz get some help

Answers

Answer:

36

Step-by-step explanation:

Find the percent change from the first value to the second.

50; 35

Answers

Answer:

30

Step-by-step explanation:

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