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Ne4ueva [31]
3 years ago
6

Given the functions f(n) = 11 and g(n) = (3/4)n − 1, combine them to create a geometric sequence, an, and solve for the 9th term

.
 an = (11 ⋅ 3/4)n − 1; a9 ≈ 24.301 an = 11(3/4)n − 1; a9 ≈ 1.101 an = 11 + (3/4)n − 1; a9 ≈ 11.100 an = 11 − (3/4)n − 1; a9 ≈ 9.900​
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer:

12345

Step-by-step explanation:

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Completing the square follows the principle of taking a x^{2} +bx+c and converting it into (x+ \frac{b}{2})^2+d where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us a x^{2} +b.

In this case, 2/2=1 so we have the first part: (w+1)^2.
Expanding this gives us w^2+2w+1. We need c to be 9, so we can just add 8.
Putting this together:

w^2+2w+9=(w+1)^2+8

Now we can solve it more easily.
Rearranging:
(w+1)^2=-8 \\ w+1= +-\sqrt{-8} = +-\sqrt{8}i=+-2 \sqrt{2}i   \\ \boxed{w=-1+ 2\sqrt{2}i\ or\ -1-2 \sqrt{2}i  }
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3 years ago
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konstantin123 [22]
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7 0
4 years ago
Use substitution to solve this system:
Oliga [24]

awnser:

y = 62 /3

Step-by-step explanation:

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The center of a circle is at (-2, 3) and point (4,6) is on its circumference.
Lostsunrise [7]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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