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3 years ago

Find the inequality represented by the graph.

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

From the graph,

$y = \frac{1}{2}x + 2$

But this one is inequality so you gotta remember this:

When y > x/2+2

- The shade/region is above the graph itself.

When y < x/2+2

- The shade/region is below the graph.

Therefore, the inequality as shown in the picture is

$y > \frac{1}{2} x + 2$

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Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

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$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

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