What is the method to the problem

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

I think it might be the 3rd one.

Someone correct me if I'm wrong please.

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1/8(x-a)+b how do I put that in slope intercept form, and what are the values of A & B

Nata [24]

The slope intercept form is y=mx+b so u need the exact expression u can't complete a full equation

3 0

3 years ago

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

In your gym class, your teacher can create teams of 4 for a relay race and have no students left over.The next day, your teacher

Agata [3.3K]

Answer: 20,40,60,80,100

Step-by-step explanation:

The possible numbers has be the multiples of 5 and 4 in other words the LCM.

The LCM of 5 and 4 are,

20,40,60, 80,100 ....

8 0

3 years ago

Select the correct answer.

Rudiy27

Yes you are correct! :)

3 0

3 years ago

What is 5/6divided by 30/60

bearhunter [10]

It would be: 5/6 / 30/60
We can re-write it as: 5/6 * 60/30
= 1/1 * 10/6
= 5/3

In short, Your Answer would be 5/3 or 1 2/3 or 1.67

Hope this helps!

5 0

3 years ago