Find the common ratio and the explicit formula -3, 9, -27, 81,
1 answer:
Answer:
see explanation
Step-by-step explanation:
These are the terms of a geometric sequence with n th term
= a![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
where re a is the first term and r the common ratio
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio
and a = - 3, thus
[te x]a_{n}[/tex] = - 3
← explicit formula
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Answer:
1. 54ft squared 2. 48 cm squared
Step-by-step explanation:
Find 8% of 1900.
0.08 * 1900 = 152
So 152 customers run every day.
V (7,9) would make PRTV a square
we have
![6 = x^{2}- 10x](https://tex.z-dn.net/?f=%206%20%3D%20x%5E%7B2%7D-%2010x%20%20)
Complete the square. Remember to balance the equation by adding the same constants to each side
![x^{2}- 10x+25=6+25](https://tex.z-dn.net/?f=%20x%5E%7B2%7D-%2010x%2B25%3D6%2B25%20%20)
![x^{2}- 10x+25=31](https://tex.z-dn.net/?f=%20x%5E%7B2%7D-%2010x%2B25%3D31%20%20)
Rewrite as perfect squares
![(x-5)^{2}=31](https://tex.z-dn.net/?f=%20%28x-5%29%5E%7B2%7D%3D31%20%20)
![(x-5)=(+/-)\sqrt{31}\\ x1=5+\sqrt{31} \\ x2=5-\sqrt{31}](https://tex.z-dn.net/?f=%20%28x-5%29%3D%28%2B%2F-%29%5Csqrt%7B31%7D%5C%5C%20x1%3D5%2B%5Csqrt%7B31%7D%20%5C%5C%20x2%3D5-%5Csqrt%7B31%7D%20%20)
therefore
the answer is
the solutions are
![x1=5+\sqrt{31} \\ x2=5-\sqrt{31}](https://tex.z-dn.net/?f=%20x1%3D5%2B%5Csqrt%7B31%7D%20%5C%5C%20x2%3D5-%5Csqrt%7B31%7D%20)
F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)<br>
to<br>
I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)
icang [17]
I am not sure what exactly the question is, but all points are a reflection across the x-axis. I hope that helps.