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2 years ago

-10y + 18 = -3(5y -7) +5y

Mathematics

2 answers:

murzikaleks [220]2 years ago

7 0

There aren't any solutions. I recommend using MathPapa algebraic calculator for problems like this. Here's the link: https://www.mathpapa.com/algebra-calculator.html

BARSIC [14]2 years ago

6 0

I hope this helps you

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Find a power series for the function, centered at c. g(x) = 4x x2 2x − 3 , c = 0

BartSMP [9]

The power series for given function $g(x)=\frac{4x}{(x-1)(x+3)}$ is $g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n)$

For given question,

We have been given a function g(x) = 4x / (x² + 2x - 3)

We need to find a power series for the function, centered at c, for c = 0.

First we factorize the denominator of function g(x), we have:

$\Rightarrow g(x)=\frac{4x}{(x-1)(x+3)}$

We can write g(x) as,

$\Rightarrow g(x)=\frac{1}{x-1}+\frac{3}{x+3}\\\\\Rightarrow g(x)=\frac{-1}{1-x}+\frac{1}{1+\frac{x}{3} }\\\\\Rightarrow g(x)=\frac{-1}{1-x}+\frac{1}{1-(-\frac{x}{3} )}\\$

We know that, $\frac{1}{1-x}=\sum{_{n=0}^\infty}~{x^n}$ if |x| < 1

and $\frac{1}{1-(-\frac{x}{3} )}=\sum{_{n=0}^\infty}~x^n(-\frac{x}{3} )^n$ if $|\frac{x}{6}| < 1$

$\Rightarrow g(x)=-\sum{_{n=0}^\infty}~x^n+\sum{_{n=0}^\infty}~x^n(-\frac{x}{3} )^n\\$ if |x| < 1 and if $|\frac{x}{6}| < 1$

$\Rightarrow g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n)$ if |x| < 1

Therefore, the power series for given function $g(x)=\frac{4x}{(x-1)(x+3)}$ is $g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n)$

Learn more about the power series here:

brainly.com/question/11606956

#SPJ4

5 0

1 year ago

A candidate scored 40 marks out of 120 wat was the percentage of the score

andriy [413]

40/120 = 0.33 repeating
or 33%

6 0

3 years ago

Please help me with this! I have been stuck on it for 15 minutes now!!

Romashka [77]

The answer is C and E.

We need to first understnad that percentage can be converted into decimal numbers and fraction:

100% = 1.0 or 100/100

Hence:

40% = 0.4 or 40/100

To find the percentage of number, we use multiplication (which is also represented by the dot in the above options).

As C. and E. has the correct value, they are the correct answers.

Hope it helps!

3 0

3 years ago

I NEED HELP PLEASE!! Does anyone understand this??

Contact [7]

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.

First, let use the ratio for sine $\frac{opp}{hypo\\}$ which equal to $\frac{7}{10}$

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ( $sin^{-1}$ (7/10) which gives us 44.4

6 0

2 years ago

Tyler saved 20% on a coat. The original price was $80.what percentage discounts did Tyler receive on the coat

Alinara [238K]

I beleive its 16 I'm not sure

5 0

2 years ago

Read 2 more answers