Complete the recursive formula of the arithmetic sequence 13, 6, -1, -8,...
1 answer:
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Answer:
<em>C = -5</em>
Step-by-step explanation:
<u>Functions</u>
F(x) is defined as:
We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:
D - (-2) = 0
Solving:
D = -2
Substituting:
We also know F(-1) = 4:
Multiplying by -1
C + 1 = -4
Solving for C:
C = -5
Check the picture below tell me if you understand what I did.
Answer:
1. 3,168 in³
2.
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism - , where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then of the tank will be full. Simplified, that is
. So that means
of the tank will be empty.
Hope this helps! Feel free to ask any questions!