Mathematics, 29.09.2019 05:30, police76

Which linear inequality is represented by the graph?

Answers: 2

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answered: ryleeshea816

The linear inequality that is represented by the graph is:

$y\leq \dfrac{1}{2}x+3$

Step-by-step explanation:

From the graph of the given function we see that the graph is a solid line passing through (0,3) and (-6,0) and the shading is towards the origin.

Hence, we will check each of the given options.

$y\leq 2x+4$

We see that the line of this inequality is a line passing through (0,4) and (-2,0) and shading towards the origin.

Hence, option: A is incorrect.

$y\geq \dfrac{1}{2}x+3$

The graph of this inequality is a solid line passing through (0,3) and (-6,0) and the shading is away from the origin.

Hence, option: C is incorrect.

$y\geq 2x+3$

The graph of this inequality is a solid line passing through the point (0,3) and (-3/2,0) and shading away from the origin.

Hence, option: D is incorrect.

$y\leq \dfrac{1}{2}x+3$

When we plot the graph of this inequality we see that it matches the given graph.

Hence, option: B is the correct answer.

Which linear inequality is represented by the graph?

answered: Guest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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