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2 years ago

What is the domain of the following? (-0,5) (-4,9) [-5,4] (-0,00)

Mathematics

1 answer:

statuscvo [17]2 years ago

3 0

Domain = all possible x values
You can see it starts from -5 and it goes till 4. Therefore domain -5 < x < 4

Solution: [-5,4]

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8+a=21 plssssssssssssszzzz

attashe74 [19]

Answer:

Step-by-step explanation:

because a is the missing number. Well, 21 minus or - 8 is equal to 13.

8 0

2 years ago

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

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

5 0

3 years ago

What is the answer to this math question

mezya [45]

Answer:

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

8 0

2 years ago

Four more than twice Kai’s age does not equal Kara’s age. If Kara is 15 years old, find Kai’s age. Let k = Kai's age.

Cloud [144]

Just -4 to 15 and the divide

7 0

2 years ago

Read 2 more answers

Es transversal por que puede separar zoos rectas y convertirse n perpendicular

Kamila [148]

Answer:

It is transversal because it can separate two lines and become n perpendicular

Step-by-step explanation:

7 0

2 years ago