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3 years ago

Solve for AB. Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

(5x+1)+(5x+2)=28
(because ab+bc=ac)
10x+3=28
10x=25
x=2.5
then plug 2.5 into ab equation:
5(2.5)+1=ab
ab=13.5

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3 years ago

What fraction of 20 is 18?

Vera_Pavlovna [14]

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is the fraction. Now all you need do is divide.

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But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

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3 years ago

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2 years ago

Let f(x) = [infinity] xn n2 n = 1. find the intervals of convergence for f. (enter your answers using interval notation. ) find

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Best guess for the function is

$\displaystyle f(x) = \sum_{n=1}^\infty \frac{x^n}{n^2}$

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When $x=-1$ , $f(x)$ is a convergent alternating series.

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which also converges for $|x|$ by the ratio test:

$\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{n+1} \cdot \frac n{x^n}\right| = |x| \lim_{n\to\infty} \frac{n}{n+1} = |x| < 1$

When $x=1$ , $f'(x)$ becomes the divergent harmonic series.

When $x=-1$ , $f'(x)$ is a convergent alternating series.

The interval of convergence for $f'(x)$ is then the closed-open interval $\boxed{-1 \le x < 1}$ .

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2 years ago

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inysia [295]

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x=y−5

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