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Ksenya-84 [330]
3 years ago
12

Geno signed up for a text messaging plan. He pays a $5.00 monthly fee and $0.04 per text message.

Mathematics
2 answers:
Marysya12 [62]3 years ago
7 0

Answer:

The correct answer is [C.) 0.04r + 5.00}

Step-by-step explanation:

hope this hlps

xz_007 [3.2K]3 years ago
6 0
I think it is D:5.00n +0.04
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Integral of x"2+4/x"2+4x+3
dolphi86 [110]

I'm guessing you mean

\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx

First, compute the quotient:

\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52

So the integral becomes

\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}

We can simplify the result somewhat:

\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}

3 0
2 years ago
Prime number 157, 1057, 263, 3163
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157, 263, and 3163 are all prime numbers
5 0
2 years ago
How many cubic feet are equivalent to 1 cubic yard?explain?
motikmotik
(1 yard )3<span> = 1</span>3<span> yard*yard*yard</span><span> = 1 yard*yard*yard</span><span> = 1 cubic yard . Since 1 yard = </span>3 feet, we have.
1 cubic yard = (1 yard)3<span> = (</span>3 feet)3<span> = </span><span>33 feet*feet*feet</span><span> = </span>27 cubic feet<span>.</span>
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2 years ago
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hoa [83]
I hope this helps, If there are 5 cups of flour, then there will be 7 and 1/2 cups of sugar:)

4 0
3 years ago
She spent 1/6 of it on snacks and 1/3 of it on a new book. She saves the rest. What fraction of the money did she save?
Doss [256]

Answer:

Step-by-step explanation:

<em>First step is that you need to have the same denominators so 1/3=2/6</em>

<em>If she spent 1/6 on snacks and 2/6 on a book which means she spent 3/6</em>

<em>so the fraction of what she saved is 3/6 or 1/2</em>

4 0
3 years ago
Read 2 more answers
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