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3 years ago

Simplify the following expression: –10x – 9x + 1

Mathematics

2 answers:

Katen [24]3 years ago

7 0

Answer: -19x +1

Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .<u>So your final answer is -19x +1 .</u>

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Komok [63]3 years ago

5 0

-19x+1 is the simplified version. You collect like terms to get (-10-9)x+1 and then calculate the difference for the answer.

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$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

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In order to calculate the area between the function and the x axis we need to solve the following integral:

$A = \int_{-\infty}^1 \frac{5}{(x-2)^2}$

For this case we can use the following substitution $u = x-2$ and we have $dx = du$

$A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du$

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$A = -\frac{5}{x-2} \Big|_{-\infty}^1$

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$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

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