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ipn [44]
3 years ago
13

Which polynomial function is graphed below? (Please help)

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer: (x-3)(x+2)^{2}

Step-by-step explanation:

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Read 2 more answers
Two terms in a geometric sequence are a3=729 and a4=243.
lesantik [10]
<h2>The first term of the given sequence (a) = 6561</h2>

Step-by-step explanation:

Let the first term = a and common difference = d

Given,

a_{3} = 729 and a_{4} = 243

To find, the first term of the given sequence (a) = ?

We know that,

The nth term of a G.P.

a_{n} =ar^{n-1}

The 3rd term of a G.P.

a_{3} =ar^{3-1}

⇒ ar^{2} = 729          ..............(1)

The 4th term of a G.P.

a_{4} =ar^{4-1}

⇒ ar^{3} = 243          ..............(2)

Dividing equation (2) by (1), we get

\dfrac{ar^{3}}{ar^{2}} = \dfrac{243}{729}

⇒ r=\dfrac{1}{3}

Put r=\dfrac{1}{3} in equation (1), we get

a(\dfrac{1}{3})^{2} = 729    

⇒ a(\dfrac{1}{9}) = 729    

⇒ a = 9 × 729 = 6561

∴ The first term of the given sequence (a) = 6561

8 0
3 years ago
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