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3 years ago

For a direct variation describe how the constant of variation affects whether y increases or decreases as x increases

1 answer:

7 0

Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)

Assuming that k is positive :)

y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.

You might be interested in

What is the slope of the line whose equation is y−4=5/2(x−2)?

postnew [5]

Answer:

$m=\dfrac{5}{2}$

Step-by-step explanation:

If the equation of the line is

$y=mx+b,$

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

$y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1$

Thus, the slope of the line is

$m=\dfrac{5}{2}$

7 0

3 years ago

Read 2 more answers

Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?

Fantom [35]

Answer:

$260

Step-by-step explanation:

620-100=520 ( to make both of them equal)

520÷2=$260

Hope this helps! Thanks.

6 0

2 years ago

If the following system of equations was written as a matrix equation in the form AX = C,? and matrix A was expressed in the for

Tomtit [17]

The value of the expression a - b + c + d will be 7.

<h3>What is the matrix?</h3>

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9

Then the equations can be written in the form of matrix. Then we have

$\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}$

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

More about the matrix link is given below.

brainly.com/question/9967572

#SPJ1

3 0

2 years ago

The table below shows selected points from a function.

FrozenT [24]

Answer:

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

$\displaystyle m=\frac{d-b}{c-a}$

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

Let's take the first two points from the table (1,1)(2,4)

$\displaystyle m=\frac{4-1}{2-1}=3$