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Archy [21]
3 years ago
8

For example, Let's say I am graphing a proportional relationship even If it doesn't go through origin and it is an equivalent ra

tios, Is it proportional or does it have to go throught the origin to be proportional?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

A proportional relationship is described by the equation

... y = k·x

The point (x, y) = (0, 0) is <em>always</em> a solution to this equation.

_____

In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.

___

Note that this is true if the domain includes the origin. You can have y = kx <em>for x > 10 </em>and the graph will <em>not</em> go through the origin because the function is <em>not defined</em> there.

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Write a verbal expression to represent the given equation.
tankabanditka [31]

For this case we have the following expression:

4p + 3 = -5

We must indicate an equivalent verbal expression.

If "p" is a variable that represents any number, we can write:

Four times a number plus 3 equals -5.

Answer:

Four times a number plus 3 equals -5.

Option D

8 0
3 years ago
Given that
olga55 [171]

Step-by-step explanation:

6 0
3 years ago
I need the lines slope
Vedmedyk [2.9K]

Step-by-step explanation:

For every 3 squares across, the line goea down 1 square.

Hence the slope is -1/3.

8 0
2 years ago
Find the sum (the total measure) of the interior angles of an Octagon. Show all of your work
tatiyna
One way to do this is use the fact that the exterior angles of all polygons add up to 360 degrees
So an exterior angle of a regular octagon  = 360 / 8 = 45 degrees.
So each interior angle = 180 - 45 = 135 degrees

so total measure of all angles in octagon = 8 * 135 =  1080 degrees
4 0
3 years ago
Read 2 more answers
Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.
ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0
1 year ago
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