3 years ago

How to factor 9X^3-27

1 answer:

azamat3 years ago

4 0

You will find teh GCF of that this will give you 9(x3-3) now you can fator it teh factors of these can be (x2+1) and (x-3)

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How much of the original 250 U.S. dollars does Phelan have now?

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3 years ago

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3 years ago

Given the Arithmetic series A1+A2+A3+A4

natali 33 [55]

Answer:

$S _{19} = 760$

Step-by-step explanation:

$a1 = 13 \\ a2 = 16 \\ d = a2 - a1 = 16 - 13 = 3 \\ d = 3 \\ a _{n} = l = 67 \\$

now,

$a _{n} = a + (n - 1) \times d \\ 67 = 13 + (n - 1) \times 3 \\ 67 = 13 + 3n - 3 \\ 67 - 13 + 3 = 3n \\ 57 = 3n \\ 3n = 57 \\ \\ n = \frac{57}{3} \\ \\ n = 19$

now the sum of the numbers

$S _{n} = \frac{n}{2} (a + l) \\ \\ S _{19} = \frac{19}{2} (13 + 67) \\ \\ S _{19} = \frac{19}{2} (80) \\ \\ S _{19} = \frac{19}{2} \times 80 \\ \\ S _{19} = 19 \times 40 \\ S _{19} = 760$