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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).
If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.
what is (x-y)(x+y)
Suppose we are required to find the difference between 3abc and 7abc. We look at two scenarios. The value we would obtain by subtracting a larger quantity from th
Ask question Minimum 100 words accepted# 1000-101
For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the
a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5. What is th
What is a scatter diagram? A scatter diagram is a graphical representation of data points for a particular sample. Choosing a dissimilar sample or enlarging the original one ca
Series - Special Series In this part we are going to take a concise look at three special series. In fact, special may not be the correct term. All three have been named th
Evaluate: 30 - 12÷3×2 =
simplex methord
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