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Fiesta28 [93]
3 years ago
13

Which expression is equivalent to 5x + 5x for all values of x?

Mathematics
2 answers:
andrezito [222]3 years ago
8 0
Answer :

C

Explanation:

It is C because it simplifies down to 5x+5x.
ICE Princess25 [194]3 years ago
7 0
The answer is c because u use distributive property and it gives you your answer for c
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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

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3 years ago
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irinina [24]
The answer is 

<span>360 degrees = 2 pi
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The |*| symbols take away the negative value of a number. So |-3| is just “3”. I can explain more if needed :)
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Answer:

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