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Rainbow [258]
3 years ago
15

K^3-27 in difference of cubes

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

(k - 3)(k^2 + 3k + 9)

Step-by-step explanation:

Base equation:

(k^3 - 3^3)

The first bracket will be a - b, second will be:

a^2 + ab + b^2

(k - 3)(k^2 + 3k + 9)

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Sum of an infinite geometric sequence with the common ratio r, and the first term a1 is \frac{a_1}{1-r}

we notice
-2 times -1/4=1/2,
1/2 times -1/4=-1/8
so a1=-2
r=-1/4 or -0.25

so the sum is
\frac{-2}{1-(-0.25)}=
\frac{-2}{1+0.25}=
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8 0
3 years ago
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Step-by-step explanation:

Given

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3 years ago
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Alex777 [14]

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19.5

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Step-by-step explanation:

5 0
3 years ago
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
kari74 [83]
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

4 0
3 years ago
Read 2 more answers
A spinner is divided into nine equal sections numbered 1 through 9. Predict how many times out of 270 spins the spinner is most
polet [3.4K]

Question 1: 150

Question 2: 50

Question 3: 58% chance

Question 4: Choosing a set of parallel side on a polygon.

Question 5: 1/6

Question 6: 1/5

Question 7: ?

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Question 9: 1/12

Question 10: 30

Question 11: ?

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Hope I helped I tried as much as possible.

3 0
3 years ago
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