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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 the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
What is the square root of 36? To search the square root (√) you ask yourself, "What number multiplied through itself gives me 36?" 6 .6 = 36; thus, 6 is the square root of 36.
The manager of a specialty store marks up imported products 110%. If a vase imported from Italy costs him $35, what price tag will he put on the item? To ?nd out the price he s
1/4+1/2+1/2
what is the are of a square that is 2 inches long and 2 inches wide?
meaning
log4^(x+2)=log4^8
A sample of students had a mean age of 35 years along with a standard deviation of 5 years. A student was randomly picked from a group of 200 students. Determine the probability
Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)
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