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Archy [21]
3 years ago
8

The inequality of the graph

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

\displaystyle y > 4x - 2

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [0, -2],you do \displaystyle \frac{rise}{run}by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

\displaystyle 0 > 4[0] - 2 → 0 > -2☑

<em>Less</em><em> </em><em>than</em><em> </em>

\displaystyle 0 < 4[0] - 2 → 0 ≮ -2

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

\displaystyle y > 4x - 2

I am joyous to assist you anytime.

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pogonyaev

Answer:

Option C) 4 cubic inches is the volume of the rectangular prism.

Step-by-step explanation:

It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.

Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.

So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.

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Read 2 more answers
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