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poizon [28]
3 years ago
7

Which graph represents the direct variation equation y = 2x?

Mathematics
2 answers:
Georgia [21]3 years ago
6 0
There isn't an option for which graph, so I can't give you a direct example. However, I can tell you the points the graph will have.

If y = 2x, that means that the points on the graph's line will be (x, 2x). To figure out which points, you can simply pick a random number as x and multiply by 2.

For instance: 2 • 2 = 4, so one point is (2, 4)
                      2 • 3 = 6, so another point is 3, 6)
                      2 • 4 = 8, so one more point is (4, 8)

The y value always equals twice or 2 times the x value
True [87]3 years ago
5 0

Answer with explanation:

The equation of line in two variable are:

 →   y =2 x

Put, x=0, gives, y=0.

For, x=1, y=2

For, x=2, y=4

For, x=3, gives, y=6.

Plotting the points in coordinate plane , that is in x y plane,and joining them and producing them from both ends ,will give the equation of line, y=2 x, representing Direct variation.

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Rufina [12.5K]

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= -  \frac{1}{3}

subst. m= -  \frac{1}{3} into the equation:

y =  -  \frac{1}{3} x + c

To find the value of c, substitute a coordinate.

When x=0, y=4,

4 =  -  \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4

Thus the equation of the line is y =  -\frac{1}{3} x + 4.

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3 years ago
A second-order linear differential equation for y(t) is said to be homogeneous if... every term involve either y or its derivati
swat32

Answer: Hello!

A second order differential equation has the next shape:

y''(t) + p(t)y'(t) + q(t)y(t) = g(t)

where p(t), q(t) and g(t) are functions of t, that can be constant numbers for example.

And is called homogeneus when g(t) = 0, so you have:

y''(t) + p(t)y'(t) + q(t)y(t) = 0

Then a second order differential equation is homogeneus ef every term involve either y or the derivatives of y.

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Answer:

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Step-by-step explanation:

Add like terms:

(4x + 8x - 5) + (3x2 + 6x - 7) becomes:

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Answer:

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Step-by-step explanation:

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