Answer:
a = -x + 2
Step-by-step explanation:
First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a
Combine the like terms to get -x + 2 = a
Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable
Answer:
![d_{n+1}=d_n\,+\,2^n](https://tex.z-dn.net/?f=d_%7Bn%2B1%7D%3Dd_n%5C%2C%2B%5C%2C2%5En)
with ![d_1=81](https://tex.z-dn.net/?f=d_1%3D81)
Step-by-step explanation:
We can study what happens day by day starting with day one (1) to understand how the recursive relation can be constructed:
Day # Number of stamps What is added relative to previous day
1 d1 = 80 + 1 = 81
2 d2 = 81 + 2 = 83 d2 = d1 + 2
3 d3 = 83 + 4 = 87 d3 = d2 + ![2^2](https://tex.z-dn.net/?f=2%5E2)
4 d4 = 87 + 8 = 95 d4 = d3 + ![2^3](https://tex.z-dn.net/?f=2%5E3)
5 d5 = 95 + 16 = 111 d5 = d4 + ![2^4](https://tex.z-dn.net/?f=2%5E4)
6 d6 = 111 + 32 = 143 d6 = d5 + ![2^2](https://tex.z-dn.net/?f=2%5E2)
(n+1) d(n+1) = dn + ![2^n](https://tex.z-dn.net/?f=2%5En)
the answer is x=2 i hope this answers your problem