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lapo4ka [179]
3 years ago
9

Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th

e number and multiply the sum by 3. Subtract 6 and then decrease this difference by the triple of the original number.
Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

procedure always produces 6

Step-by-step explanation:

Let 'n' be the unknown number

Add 4 to the number : n+4

multiply the sum by 3.

multiply the sum n+4 by 3

3(n+4) is 3n+12

Now subtract 6, so we subtract 6 from 3n+12

3n+12-6=3n+6

finally decrease the difference by the tripe of the original number

triple of original number is 3n

3n+6-3n= 6

so the procedure always produces 6

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\sf (f + g)(x) = f(x) + g(x) \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  =  - 3x - 5 + 4x - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = 4x - 3x - 5 - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = x - 5 - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = x - 7

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