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alissa3329
28.10.2020 •
Mathematics
Write an equation that relates the sale price, s, to the original price p.
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Ответ:
See below.
Step-by-step explanation:
1. Suppose that the sum is rational then we can write:
a/b + i = c/d where i is irrational and by definition a/b and c/d are rational.
Rearranging:
i = c/d - a/b
Now the sum on the right is rational so 'irrational' = 'rational' which is a contradiction.
So the original supposition is false and the sum must be irrational.
2. Proof of For all integers m if m is even then 3m + 7 is odd:
If m is even then 3m is even.
Suppose 3m + 7 is even, then:
3m + 7 = 2p where p is an integer.
3m - 2p = -7
But 3m and 2p are both even so their result is even and -7 is odd.
Therefore the original supposition is false because it leads to a contradiction, so 3m + 7 is odd.