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omeli [17]
3 years ago
12

The point (0, 2) is the only solution to the system of linear equations that contains the equations

Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

Answer:

  D.  independent equations

Step-by-step explanation:

The equations are not dependent and not inconsistent, so they can be described as "independent" or "consistent."

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Suppose f left parenthesis x right parenthesis right arrow 150f(x)→150 and g left parenthesis x right parenthesis right arrow 0g
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Answer:

\lim_{x \to 3} (\frac{f(x)}{g(x)} )=- \infty

Step-by-step explanation:

Given that:

f(x) approaches 150, and

g(x) approaches 0, with g(x) < 0,

as x approaches 3.

This means:

\lim_{x \to 3} f(x)=150 \\\\ \lim_{x \to 3} g(x)=0

We need to evaluate:

\lim_{x \to 3} (\frac{f(x)}{g(x)} )

Distributing the limit to numerator and denominator, we get:

\frac{ \lim_{x \to 0} f(x) }{ \lim_{x \to 0} g(x)}\\\\ = \frac{150}{0}

The expression will result in infinity as the answer, but since, g(x) < 0, this means g(x) is approaching 0 from the negative side. As a result, the expression 150/0 will approach negative infinity as x will approach 3.

Therefore, we can conclude:

\lim_{x \to 3} (\frac{f(x)}{g(x)} )=- \infty

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3 years ago
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If you have answer choices that would be helpful.

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Step-by-step explanation:

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