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34kurt
2 years ago
9

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Mathematics
1 answer:
Allushta [10]2 years ago
8 0

Answer:

y= (3/2)x-3

Step-by-step explanation:

We need two points to find the equation of a line. Let's take (2,0) and (4, 3).

In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.

Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation

y= (3/2)x-3

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A number m is no less than –1 or less than or equal to −5.
Law Incorporation [45]

Answer:

-1 < m ≤ - 5

Step-by-step explanation:

Your expression includes: m, -1, -5, >, ≤

m is the value being compared so it will be in the middle.

# sign m sign #

m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >

m > -1

m is less than or equal to -5. This means we use ≤ because it can equal -5.

m ≤ -5

Now combine the two expressions

m > -1 – This can also be written as -1 < m.

m ≤ -5

-1 < m ≤ - 5

7 0
3 years ago
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vova2212 [387]

Answer:

Step-by-step explanation:

You didn't mark your graph but I'm assuming the point is (1,2)

You notice how the function stops at the point? x and y can not be above that point because there is no line above it.

The domain of the function means what can x possibly be.

The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.

The range of the function means what can y possibly be.

The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.

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3 years ago
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