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Assoli18 [71]
3 years ago
15

Write an inequality for the graph.

Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.

m = +5/+6 = \frac{5}{6}    b = 5

y =  \frac{5}{6}x + 5

6y = 5x + 30

-30 = 5x - 6y   ⇒   5x - 6y = -30

Now let's look at the inequality symbol:  The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.

Answer: 5x - 6y ≤ -30



natali 33 [55]3 years ago
6 0

Answer: 5x-6y >= -30

Step-by-step explanation:

Pick two points from the graph to frame the equation of the line = (0,5) and (-6,0)

Frame the equation y=mx+b, where m is the slope and b is the y-intercept

The y-intercept is the point where the graph crosses y-axis and it is equal to 5.

slope m = y2-y1/x2-x1 = 0-5/-6-0 = 5/6

Equation becomes y = 5/6x+5

Multiply the whole equation by 6

6y+5x = 30

Subtract 5x on both sides

-5x+6y = 30

Multiply whole equation by -1

5x-6y = -30

Now we look at the shaded part and confirm the inequality

The shaded part contains (0,0)

So we plug in 0 for x and 0 for y

5(0) - 6(0) = -30

0 >= -30 is true

So inequality becomes 5x-6y >= -30

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Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

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2. Baseball is rather surprisingly known as "America's Favorite Pastime."

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Step-by-step explanation:

was assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism

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