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sasho [114]
3 years ago
15

Factor a number, variable, or expression out of the trinomial shown below:

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Answer:

C. 3(2x2 – 4x + 3)

Step-by-step explanation:

6x^2 – 12x + 9

We can factor out a 3

3(2x^2 -4x+3)

stellarik [79]3 years ago
4 0

Answer:

c. 3(2x^2-4x+3)

Step-by-step explanation:

The numbers 6, 12, and 9 are all multiples of 3. Divide everything by three, move it to the outside. There are no more common factors between all 3 terms so the trinomial is completely factored. Hope this helped, if not then I apologize.

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3 years ago
(1CQ) Determine whether the series -8/5+32/25-128/125+... is convergent or divergent.
Ivan

Answer:

The series is convergent answer ⇒ (a)

Step-by-step explanation:

* The series is -8/5 + 32/25 + -128/125 + ........

- It is a geometric series with:

- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5

* The difference between the convergent and divergent

  in the geometric series is :

- If the geometric series is given by  sum  = a + a r + a r² + a r³ + ...

* Where a is the first term and r is the common ratio

* If |r| < 1 then the following geometric series converges to a / (1 - r).  

- Where a/1 - r is the sum to infinity

* The proof is:

∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number

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∴ S∞ = a/1 - r

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∵ r = -4/5

∴ IrI = 4/5

∴ IrI < 1

∴ The series is convergent

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