(-2.1) * (-1.4) = ?
(-2.1) * (-1.4) = 2.94
Answer: C
55 Thousand a year is the answer i belief
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Answer:
see explanation
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 7 - (- 3) = 17 - 7 = 27 - 17 = 10
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 10, thus
= - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13 ← explicit formula
The recursive formula allows a term to be found by adding d to the previous term, thus
=
+ 10 ← recursive formula
Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d = ![\dfrac{218}{436}](https://tex.z-dn.net/?f=%5Cdfrac%7B218%7D%7B436%7D)
= ![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
= ![0.5](https://tex.z-dn.net/?f=0.5)
Now, the explicit formula for a GP is
![g_n=ar^{(n-1)}](https://tex.z-dn.net/?f=g_n%3Dar%5E%7B%28n-1%29%7D)
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
![g_n=436(0.5)^{(n-1)}](https://tex.z-dn.net/?f=g_n%3D436%280.5%29%5E%7B%28n-1%29%7D)
Therefore, the correct option is c.
1. The area of a rectangular barnyard is given by the trinomial 4x ^ 2 + 4x-3. What are the possible dimensions of the barnyard? Use factoring
4x ^ 2 + 4x-3
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(2x-1) * (2x + 3)
Therefore the dimensions of the rectangle are:
(2x-1)
(2x + 3)
Answer:
the possible dimensions of the barnyard are:
(2x-1)
(2x + 3)
2. The area of a rectangular picture frame is given by the trinomial 6x ^ 2-11x-72. What are the possible dimensions of the frame? Use factoring
6x ^ 2-11x-72
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(3x + 8) * (2x-9)
Therefore the dimensions of the rectangle are:
(3x + 8)
(2x-9)
Answer:
the possible dimensions of the frame are:
(3x + 8)
(2x-9)