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pentagon [3]
3 years ago
5

Identify which of the following sets of numbers the number belongs to: rational numbers, integers, whole numbers. 101 A. Rationa

l Number B. Whole Number C. Integer PLZ HELP
Mathematics
2 answers:
mafiozo [28]3 years ago
5 0
Imma have yo go with B
kumpel [21]3 years ago
3 0

Answer:

101 is B. Whole Number but is C. Integer too

Step-by-step explanation:

Whole number is starting from 0 counting up to forever

Integer is all whole numbers but there are negative numbers too

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Venla is 5 years older than her cousin Kora. How old is Kora when Venla is 18 years old?
krek1111 [17]

Answer:

kora is 13

Step-by-step explanation:

venla is 5 years older than kora

18-5=13

5 0
3 years ago
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3. The graph y = x2 - 3 is translated down 6 units. What would be the new function rule? Y=8² - 9 À​
SIZIF [17.4K]

Answer:

a= −1/9y+64/9

3 0
3 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
Write the standard equation for the circle.
Sidana [21]

Answer:

the first one

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (10, - 6) and r = 6, hence

(x - 10)² + (y - (- 6))² = 6², that is

(x - 10)² + (y + 6)² = 36

5 0
3 years ago
3. What is the slope of the line that contains the<br> points (-6, 1) and (4,-4)?
Shalnov [3]

Answer: Slope=-2

Step-by-step explanation:

4 0
3 years ago
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