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1. Show that there do not exist integers x and y for which 110x + 315y = 12.
2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:
Any odd number can be written 2k + 1 for some integer k.
3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.
4 friends have 235 marbles and want to share.How many marbles should each friend receive?
log base 5 (3-2x) + log base 5 (2+x) = 1
how to estimate using compatible numbers
Factor by grouping each of the following. 3x 2 - 2x + 12x - 8 Solution 3x 2 - 2x + 12x - 8 In this case we collect the first two terms & the final two te
How long does it take for an amount of money P to double itself if it is invested at 8% interest compounded 4 times a year?
How to Solve Inequalities ? Now that you have learned so much about solving equations, you're ready to solve inequalities. You might think that since an equation looks like
Finding Absolute Extrema : Now it's time to see our first major application of derivatives. Specified a continuous function, f(x), on an interval [a,b] we desire to find out the
how can i easily solve the trignometry question?
Find quadratic equation using the Quadratic Formula: Solve the subsequent quadratic equation using the Quadratic Formula. 4x 2 + 2 = x 2 - 7x: Solution: Step 1.
Expand (1- 1/2x -x^2)^9
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