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Stolb23 [73]
3 years ago
14

Determine whether y varies directly with x. If so, find the constant of variable k.

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0

Answer:

Yes, "y" varies directly with "x"

The constant of variation is: k=4

Step-by-step explanation:

Constant variation equation has the following form:

y=kx

Where "k" is the constant of variation.

You can notice in the table the when "x" increases, "y" increases   and the ratio between them is always the same.

To find "k" you need to pick any a point from the table, subsitutte the coordinates into  y=kx and solve for "k". Then:

24=k(6)\\\\k=\frac{24}{6}\\\\k=4

alexira [117]3 years ago
8 0

Answer:

y varies directly with x, and the constant of variation is k = 4.

Step-by-step explanation:

If y varies directly with x, then y = kx, where k is the constant of variation.

To determine if y varies directly with x, divide each y value by the corresponding x value.  If the result is the same for all the points, then y indeed varies directly with x.

24 / 6 = 4

72 / 18 = 4

216 / 54 = 4

648 / 162 = 4

y varies directly with x, and the constant of variation is k = 4.

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True [87]

Answer:

a) -2 and 4

b) function 2

Step-by-step explanation:

a)

rate of change is rise over run: change in y / change in x.

function 1:

- i will use first 2 pairs of data

- change in y: 5 - 3 = 2

- change in x: -2 - (-1) = -1

-rate of change = 2/-1 = -2

function 2:

- same idea, but find two points on the graph!

- (0,4) and (-1,0) for example! pick easy points

- change in y is 4. chabge in x is 1

- rate of change is 4

b)

function b has greatest rate of change. 4 > -2

5 0
2 years ago
how do you solve distributive properties ?? and pre algebraic expressions/equations i have a test over it all and i'm in 7th gra
professor190 [17]

Answer:

I was totally in your shoes then..

Step-by-step explanation:

Watch Fort Bend Tutoring on YT, he got me through those math problems...I can assure it will help, and he makes Math fun

4 0
3 years ago
Drag a statement or reason to each box to complete this proof.
alukav5142 [94]

The table to complete the proof is as follows

Equation                                                              statement

1. m∠ABD = 60°, m∠DBC=40°                               Given

2. m∠ABD + m∠DBC = m∠ABC               Angle Addition Postulate

3. 60° +  40° = m∠ABC                           Substitution Property of Equality

4. 100° = m∠ABC                                                  Simplifying

5. ∠ABC is an obtuse angle.                       greater than 90 degrees

6. △ABC is an obtuse triangle.                Definition of obtuse triangle

<h3>What is obtuse angles?</h3>

When an angel is greater than 90 degrees the angle is said to be an obtuse angle.

For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

Read more on angles here: brainly.com/question/25716982

#SPJ1

8 0
1 year ago
Helppp I’m not good with this stuff lol
Natasha2012 [34]

Answer:

that is you my question is wrong for me

6 0
2 years ago
PLEASE HELP ASAP will give brainly
Luba_88 [7]

Answer:

9984 cm³

Step-by-step explanation:

2496 ÷ 1/4

The image shows how to divide, but we get 9984 cm³

5 0
3 years ago
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