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krok68 [10]
3 years ago
6

Find the common factor and factor out 9ab^2-3abc

Mathematics
1 answer:
dsp733 years ago
4 0
Lets go step by step and factor out each as we go

first lets factor out a 3 since 3 is common in 9 and 3 

3(3ab^2 - abc) 

now lets factor out a since its common in both 

3a(3b^2 - bc) 

now lets factor out a b since its common in both 

3ab(b - c) 

we can't factor anything else out so we are done. 

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Is 3/10 of the visitors were adults and there were 100 visitors how many visitors were adults?
e-lub [12.9K]
So, 3/10 = 100/x\frac{3}{10}= \frac{100}{x}  3x=100(10) 3x=1000 1000/3 = 333.33=x
5 0
3 years ago
PLS HELP ME ITS DUE IN 4 MINS!<br><br> Subtract 2y²+7y+2 from 6y²+9y−8.
Dmitry_Shevchenko [17]

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Step-by-step explanation:

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Answer:

x(x²+3)

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Step-by-step explanation:

Hope it helps you

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Step-by-step explanation:

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