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1. Let a, b be positive integers, and write a = qb + r, where q, r are Elements of Z and0 (= or)< r < b. Suppose that d = gcd(a, b).
a) If r = 0 show that d = b.
b) If r > 0 show that d = gcd(b, r).
2. Use Problem 1 to find:
a) gcd(100; 3);
b) gcd(100; 82).
What are the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
A company produces the financial results shown in the table below. The executives at the firm have good reason to believe that $10 million in sales will be generated in 2010.
To make x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.
write an equation of a line that is parallel to the y-axis and passes through the point
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Write a piecewise-defined function that gives the cost C(n) for a museum visitor who is n years old. What is the range of the function?
Simplify the Algebraic Expression - 6x7- 2x3 + 4x -16/3x2 - 7x + 9
A projectile is launched from a platform 20 feet high with an initial velocity of 112 feet per second, The height h of the projectile at t seconds after launch is given h= - 16t^2 + 112t +20 feet.
Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
1. suppose you have the following recursion formula a1 1 a2 2 and an an - 1 an - 2for integers n ge 3. how would you
why is zero excluded from the domain of a logarithmic function?is every rational function a polynomial function?
Calculating the minimum or maximum value from the function
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