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3 years ago

Solve for x. 3.8 + 4.5x - 1.4 = 8.25

Mathematics

2 answers:

pantera1 [17]3 years ago

7 0

I think it’s 1.3, if it’s not than I’m so sorry

Annette [7]3 years ago

6 0

Answer:

x = 1.3

Step-by-step explanation:

Eliminate fractions first. Multiply all four terms by 100. The result will be:

380 + 450x - 140 = 825

Combine like terms:

240 + 450x = 825, or

585 = 450x, or:

x = 1.3

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Find the radius of convergence of the power series. (if you need to use or –, enter infinity or –infinity, respectively. ) [infi

Alona [7]

For given power series $\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}$ the radius of convergence is 2.

For given question,

We have been given a power series $\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}$

We need to find the radius of convergence of the power series.

We use ratio test to find the radius of convergence of the power series.

Let $a_n=\frac{(-1)^nx^n}{2^n}$

$\Rightarrow a_{n+1}=\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}$

Consider,

$\lim_{n \to \infty}|\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}}{ \frac{(-1)^nx^n}{2^n} } |\\\\=\lim_{n \to \infty} |\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}\times \frac{2^n}{(-1)^nx^n} |\\\\=\lim_{n \to \infty} |\frac{(-1)x}{2} |\\\\=\lim_{n \to \infty}|\frac{-x}{2} |\\\\=\frac{x}{2}$

By Ratio test, given power series converges at $|\frac{x}{2} | < 1$

⇒ |x| < 2

So, the radius of convergence is 2.

Therefore, for given power series $\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}$ the radius of convergence is 2.

Learn more about the radius of convergence here:

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8 0

2 years ago

Can you find out a harder question my child is so smart I can’t keep up with her

zloy xaker [14]

Answer:

what they currently going over?

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3 years ago

Read 2 more answers

X/3 + 35 ≤ 65 pls help

lianna [129]

Answer:

x $\leq$ 90

Step-by-step explanation:

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3 years ago

A clothing store purchases a sweatshirt for $26 and adds $15 to set the sticker price.The store is having a sale where everythin

Rashid [163]

Answer:

32.80

Step-by-step explanation:

well it is kind of simple all you need to do is go 26 + 15=41 with the discont of 20% the answer is 32.80 dollars!!!!

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3 years ago

In the fall, you go to the local nursery and purchase a package of 10 rose plants. The clerk informs you that on average you can

LUCKY_DIMON [66]

Let success be that a plant dies in the winter and failure be that a plant survives the winter, then
p = 0.05, q = 1 - 0.05 = 0.95

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8 0

4 years ago

Solve for x. 3.8 + 4.5x - 1.4 = 8.25​

Solve for x. 3.8 + 4.5x - 1.4 = 8.25