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2 years ago

(a^2 - 2a^2) - (3a^2 - 4a3)

Mathematics

1 answer:

pychu [463]2 years ago

6 0

Answer:

-4a²+4a³

Step-by-step explanation:

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If a 6-foot man casts an 8-foot shadow, how tall is a tree that casts a 24-foot shadow?

noname [10]

26 , 8-6=2 so you do 24+6

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3 years ago

Simplify<br> 5 x 52<br> leaving your answer in index form.

lions [1.4K]

Step-by-step explanation:

$52 \times 5 = 260$

$so \\ 260 = 26 ^{10}$

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2 years ago

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Find the measure of the each angle indicated. HELP

Paraphin [41]

Answer:

(n-2)180 (this is the equation to find the sum of interior angles)

(4-2) 180 (plug in the amount of angles in the polygon and then solve)

2* 180

360

360 - 115 -100- 73= 72 (360 is the sum of all angles for this polygon. so subtract the known angles to find the unknown one)

measure of angle B is 72 degrees

Step-by-step explanation:

4 0

3 years ago

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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

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2 years ago

What do i multiply 5/6 by to get 10/12

Vladimir79 [104]

Answer:

Step-by-step explanation:

you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12

7 0

3 years ago

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