I am confused on this. Can anyone show me where to start on how to solve it?
Given the cipher and function below, decode the following message:
14-2-21-9 10-20 7-22-15
Function: f(x)=2x-2
Cipher
A=2, b=4, c=6, d=8, e=10, f=12, g=14, h=16, i=18
j=20, k=22, l=24, m=26, n=28, o=30, p=32, q=34
r=36. S=38, t=40, u=42, v=44, w=46, x=48, y=50, z=52
Hint: Plug each number into the function and then use the cipher to convert the output to the coded letter.
f(14) = 2*14-2 = 26
26 = m
so the first letter is m
and so on
Thank you
To decode the given message, you need to follow these steps:
1. Start by applying the function f(x) = 2x - 2 to each number in the message.
- For 14, the calculation would be: f(14) = 2 * 14 - 2 = 28 - 2 = 26.
- For 2, the calculation would be: f(2) = 2 * 2 - 2 = 4 - 2 = 2.
- Continue this process for each number in the message.
2. Once you have obtained the outputs from applying the function, you can convert them to the corresponding letters using the given cipher.
- According to the cipher, 26 corresponds to the letter 'm'.
- Similarly, 2 corresponds to the letter 'b'.
- Convert each output to its corresponding letter using the cipher.
3. Continue this process for each number in the message.
Using this method, let's go through each number in the given message:
14-2-21-9 10-20 7-22-15
1. Apply the function f(x) = 2x - 2 to each number:
- 14 becomes 2 * 14 - 2 = 28 - 2 = 26
- 2 becomes 2 * 2 - 2 = 4 - 2 = 2
- 21 becomes 2 * 21 - 2 = 42 - 2 = 40
- 9 becomes 2 * 9 - 2 = 18 - 2 = 16
- 10 becomes 2 * 10 - 2 = 20 - 2 = 18
- 20 becomes 2 * 20 - 2 = 40 - 2 = 38
- 7 becomes 2 * 7 - 2 = 14 - 2 = 12
- 22 becomes 2 * 22 - 2 = 44 - 2 = 42
- 15 becomes 2 * 15 - 2 = 30 - 2 = 28
2. Convert the outputs to letters using the cipher:
- 26 corresponds to 'm'
- 2 corresponds to 'b'
- 40 corresponds to 't'
- 16 corresponds to 'i'
- 18 corresponds to 'k'
- 38 corresponds to 's'
- 12 corresponds to 'l'
- 42 corresponds to 'u'
- 28 corresponds to 'n'
Therefore, the decoded message is:
m-b-t-i k-t l-u-n
The decoded message is "mbti ktlun".