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3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Slope intercept form: y=mx+b

y=5x-5

y=-3/4x-1

I’m pretty sure…

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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

3 years ago

Round each mixed number to the nearest whole number. Then, estimate the sum. 14/11/12+3/1/6

yanalaym [24]

$14\11\12 + 3\1\6$

4 0

3 years ago

A biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this

klemol [59]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Area and estimate helpp

Vikki [24]

Sorry. It's not clear. Plz tell me if there is 12 3/8in?

5 0

2 years ago

The question is in the photo

masha68 [24]

Step-by-step explanation:

I think the answer is 3x square multiplied by 1

Coz anything raised to power 0 will always equal to 1

8 0

3 years ago