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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
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The sum of two numbers is 19, their difference is 5. find the numbers
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COMMENT ON QUANTITATIVE TECHNIQUES IS A SCIENTIFIC AND FOR ENHANCING CREATIVE AND JUDICIOUS CAPABILITIES OF A DECISION MAKER
A building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains 41(19/21-) cu m of air. If the internal diameter of the building is equal to its t
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Download the data on Gas Mileage. This is a sample of 81 passenger cars with information about gas consumption and other technical details. a. Estimate the following
Short Cuts for solving quadratic equations
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Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
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