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3 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Mathematics

1 answer:

BigorU [14]3 years ago

7 0

Y=-3/2x+7/2 is the answer!

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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

Explain in your own words what domain and range mean

a_sh-v [17]

A domain is an input that you put in an equation(x). A range is an output (y) that is the result of a certain input.

Hope this helps and please mark as brainliest!

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3 years ago

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If the cost of 10 pencils is $52 1/2 find the cost of 1 pencil

777dan777 [17]

52\10= $5.20 so that is the right answer

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What integer describes 75 feet above sea level?

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Sea level is considered 0. To find 75 feet above sea level, we add 75 to 0. This gets us 75. Since 75 is an integer, it checks out.

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3 years ago

Mari adds 4 spoonfuls of honey to a pitcher of iced tea.Each spoonful holds 5 mL of honey. How many mL of honey did Mari add in

Marina86 [1]

The answer is fir this question 20 ml

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