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balu736 [363]
3 years ago
13

Emma substitutes 3 for x in a one-variable linear equation and finds that it makes the equation true. She then substitutes 5 for

x then in the same linear equation true. What can you conclude about the number of solutions of the equation
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

The equation has infinite solutions

Step-by-step explanation:

Linear equations can have zero, one or infinite solutions.

If Emma tested two values (3 and 5) for the same equation and they were both true solutions, this means that the equation has more than one solution.

If a linear equation has more than one solution, than the equation has infinite solutions.

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ANSWER

The last graph is the correct answer

EXPLANATION

The function,
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This rational function has a vertical asymptote

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That is,
x - 2 = 0

This means that, the vertical asymptote occurs at

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The graph also has a horizontal asymptote at,

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Thus, the horizontal asymptote occurs at
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At x-intercept,
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This implies that,

\frac{3x - 2}{x - 2} = 0

\Rightarrow \: 3x - 2 = 0

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At y-intercept,

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This implies that,

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The graph cuts the y-axis at,

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The graph that satisfy all the above conditions is the last one.

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