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prohojiy [21]
2 years ago
7

Which linear inequality is represented by the graph?

Mathematics
2 answers:
brilliants [131]2 years ago
5 0

Answer:

The linear inequality would be y ≥ 1/2x - 1

Step-by-step explanation:

In order to find the inequality, first find the equation of the line. To do this, we start by identifying two points on the line. For the purpose of this, we'll use (0, -1) and (2, 0). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (0 - -1)/(2 - 0)

m = 1/2

Now that you have the slope, you can use either point and point-slope formula.

y - y1 = m(x - x1)

y - 0 = 1/2(x - 2)

y = 1/2x - 1

Now that we have this, we look to the shading. If the shading is above, then we make y ≥. If it is under the line, then we make y ≤. In this case, the shading is above. Leaving us with:

y ≥ 1/2x - 1

miskamm [114]2 years ago
3 0

Answer:

y\geq\dfrac{1}{3}x-1

Step-by-step explanation:

Given: The graph of inequality.

First choose two points on graph and find the equation of line.

From graph two passing points are (3,0) and (0,-1)

using two point formula of line to find the equation.

y-(-1)=\dfrac{0+1}{3-0}(x-0)

y+1=\dfrac{1}{3}x

y=\dfrac{1}{3}x-1

Now we find inequality.

Line is solid on graph. Equality would be there.

point (0,0) is part of shaded region.

(0,0) must be true for above equation.

Check the points

0 \text{___} \dfrac{1}{3}(0)-1

0 \text{___} -1

As we know 0 is greater than -1.

Hence, The equation of inequality y\geq\dfrac{1}{3}x-1

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Andrews [41]

Answer:

y=5

Step-by-step explanation:

The answer is 5 because that sign around the -5 is the absolute value sign. What the absolute value sign does is it measures the distance from 0 the number is. Since the number -5 is 5 units away from the number 0, then y=5.

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2 years ago
A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each t
amid [387]

Answer:

option (b) df = 1, 24

Step-by-step explanation:

Data provided in the question:

levels of factor A, a = 2

levels of factor B, b = 3

Subjects in each Sample, s = 5

n = 5 × 3 × 2 = 30

Now

df for Factor A = a - 1

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df for Factor B = b - 1

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df for Interaction AB = ( a - 1 ) × ( b - 1 )

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df values for the F-ratio evaluating the main effect of factor A is 1, 24

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3 years ago
Richard walks every day for exercise at a rate of 1 kilometer every 20 minutes.
OleMash [197]

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2 years ago
What is -x/3 = 9. Solve for x
vlada-n [284]

Note: I just noticed that you only have one negative sign. If you mean to put -9, change the sign to positive. If not, leave the answer.

Note the equal sign. what you do to one side, you do to the other. Isolate the x. First, multiply 3 to both sides

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Next, to isolate the x, divide -1 from both sides

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x = 27/-1

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hope this helps

3 0
3 years ago
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KatRina [158]

Answer:

Step-by-step explanation:

To graph this equation, start by plugging in different numbers for X and solve for Y.

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If you do this enough times, dotting each new coordinate then connecting them in a straight line, you will get your graph.

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