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ADVANCED MATH

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ADVANCED MATH

Prove that (a) $5n^2 + 3n + 4$ is even , for all integers n. (b) for all integers n, if $5n+ 1$ is even, then $2n^2 + 3n + 4$ is odd. (c) the sum of five consecutive integers is always divisible by 5. (d) $n^3 - n$ is divisible by 6, for all integers n. (e) $(n^3 - n)(n + 2)$ is divisible by 12, for all integers n. (f) every four-digit palindrome number is divisible by 11. (A palindrome number is a number that reads the same forward and backward.) (g) if a, b, and care real numbers and (a - bi)(c - ci) = 1 - i, then ac = l. (h) if p is a prime integer, then p + 19 is composite. (i) if n is a natural number and r is the remainder when n is divided by 3, then if t = 5 or 11, the sum $r^2+ r + t$ is prime. (j) if m and n are natural numbers , $n < 4$, and $(2 - n)(2 - m) > 2(m - n)$, then m = 1 or n = 3. (k) if $n > 2$ is an even natural number, then 2n - 1 is not prime. (]) if S is a set of real number such that a, bare in S, and if $x\leq S$ a and $x\leq b$ for every element x of S, then a = b. (m) if a and b be integers and b is odd, then 1 and -1 are not solutions of the equation $ax^4 + bx^2 + a = 0.$ (n) if two nonvertical lines have slopes whose product is -1, then the lines are perpendicular.

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ADVANCED MATH

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ADVANCED MATH

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Which decisions arise in situations where established processes offer potential solutions quizlet?

Which decisions arise in situations where established processes offer potential solutions quizlet?

Which decisions arise in situations where established processes offer potential solutions quizlet?

Which decisions arise in situations where established processes offer potential solutions quizlet?

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Which decisions arise in situations where established processes offer potential solutions?

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