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Snowcat [4.5K]
2 years ago
10

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = <u>0-(-1)</u>

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

Learn more at below link:

brainly.com/question/4276177

#SPJ10

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The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have linear equation in one variable:

4(x + 5) = 9x + 4x − 34

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4x + 20 -4x + 34= 9x + 4x − 34 -4x +34    

(Subtraction Property of Equality and Addition Property of Equality)

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Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

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brainly.com/question/11897796

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Answer:

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Step-by-step explanation:

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