2 years ago

Does this graph show a function?

Mathematics

2 answers:

Nastasia [14]2 years ago

8 0

Answer: no

Step-by-step explanation:.

Ronch [10]2 years ago

3 0

Answer:

I think no this graph doesnot show function

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Kofi has 4 meters of fabric that he wants to cut into 5 equal-sized pieces. What is true about the length of each piece of the f

Romashka-Z-Leto [24]

Answer:

Each piece is 4/5 m long

Step-by-step explanation:

Kofi has 4 meters of fabric

he cuts them into 5 pieces

4meters/ 5 pieces = length of each piece

4/5 meters long

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3 years ago

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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

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3 years ago

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nikklg [1K]

Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

If log50=1.699 then what is the value of log(100)50?

JulijaS [17]

Answer:

d. 0.849

Step-by-step explanation:

$\log_{100}{(50)}=\dfrac{\log{50}}{\log{100}}=\dfrac{1.699}{2}=0.849$

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3 years ago

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