I am really stuck on questions 12 and 14, could anyone please help me? It would get me a 100/100 in this math test :DD Level 7-8Use algebra to justify why the following number tricksalways work.a If you take a two-digit number and subtract the numbercreated when you reverse its digits, you always get ninetimes the difference in the digits.b Show that the mean of a set containing an odd number ofconsecutive integers is always the middle integer in the set.13 Find three consecutive numbers such that three times thelowest one plus five times the middle one is equal to 39 lessthan ten times the largest one.14 The Atbash cipher was used around 500 BC and maps thealphabet in reverse.Plain A B CDEFGHIJKLMNOPQRSTUV WXYZCipher zY x WVUTSRQP0NMLKJIHG FEDCB Aa Find an encryption function for the Atbash cipher.b Write down a message and encode it with this cipher.c Find the inverse of the encryption function. Show that theinverse function decodes your message.

12.a) Let, ab be the 2-digit number where the unit's digit is 'b' and the ten's digit is 'a' So,…

12 Use algebra to justify why the following number tricks always work. a If you take a two-digit number and subtract the number created when you reverse its digits, you always get nine times the difference in the digits. b Show that the mean of a set containing an odd number of consecutive integers is always the middle integer in the set.

12 Use algebra to justify why the following number tricks always work. a If you take a two-digit number and subtract the number created when you reverse its digits, you always get nine times the difference in the digits. b Show that the mean of a set containing an odd number of consecutive integers is always the middle integer in the set.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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