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lesantik [10]
3 years ago
15

Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multi

plication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.
Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

30,000

Step-by-step explanation:

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<h2>Explanation:</h2>

The rational expression is given by:

E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\  E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)

The denominator can't be zero, therefore:

(x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}

Finally,<em> the values of x that make the rational expression undefined are </em>

<em></em>

<em>x = 7 and x = -7</em>

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