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2 years ago

Prove that for a,b,c E ℤ, if a ❘ ( ab + c ), then a I c.

Mathematics

1 answer:

zhenek [66]2 years ago

3 0

Answer:

True.

Step-by-step explanation:

Let a,b,c integers and a | (ab+c), that is to say that there exist a integer k such that ab+c = ka. Then:

ab+c = ka

c = ka-ab

c = a(k-b). So, c is a multiple of a, that is a | c.

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Answer:

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1 year ago

Read 2 more answers

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Alchen [17]

Answer:

Step-by-step explanation:

Order of operations, use the operation within the parenthesis:

1) 5 - 2 = 3
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5 0

2 years ago

(NOT A MULTIPLE CHOICE)

Vsevolod [243]

9514 1404 393

Answer:

a, b, c --- all not representative

Step-by-step explanation:

The question posed by the engineer is "are residents of the city in favor of ...".

The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c) own homes.

Additional comment

The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.

8 0

2 years ago