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3 years ago

3.14

"absmiddle" class="latex-formula">

Mathematics

2 answers:

Nonamiya [84]3 years ago

7 0

The answer is 25.12
3.14x8

Sveta_85 [38]3 years ago

4 0

The answer will be 25.12

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Which function is graphed on the coordinate plane below?

Law Incorporation [45]

F(x)= 2x-6

Y=Mx+b

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2 years ago

What percent of the muffins were carrots

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Answer:

Step-by-step explanation:

Muffins aren't carrots, unless they are carrot muffins.

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2 years ago

What is the solution to the inequality 10x + 18 < -2

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<h3>Answer: x < -2, choice B</h3>

===========================================

Work Shown:

10x + 18 < -2

10x + 18-18 < -2-18 ... subtract 18 from both sides

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10x/10 < -20/10 ... divide both sides by 10

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

2 years ago