Rational Expressions‚ Asymptotes‚ and Holes Dr. Litan Kumar Saha Assistant Professor Department of Mathematics University of Dhaka Rational Expression It is the quotient of two polynomials. A rational function is a function defined by a rational expression. Examples: y x2 x5 y 3x2 2 x 5 x3 4 x2 5 x 7 Not Rational: y 4x x2 y x x2 5 Find the domain: Graph it: f ( x) 1 x Find the domain: Graph it: f ( x)
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let f(x) be a quadratic polynomial such that that f(2)= -3 and f(-2)=21‚ then the co-efficient of x in f(x) is a. -3 b. 0 c. -6 d. 2 1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ‚then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided
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IMP 2 POW 3: Divisor Counting. I. Problem statement: This POW is all about finding information and patterns about the way divisors of certain numbers are found and expressed. In this POW when we talk about divisors we usually are counting the number of divisors that a number has. The divisor is a number that a number can be divided by‚ of course every number is divisible by every other number but in these problems we are only talking about whole‚ positive numbers. Every number is divisible evenly
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. A toy puck and a hockey stick cost $1.10 in total. The stick costs $1 more than the puck. How much does the puck cost? a) 10 cents b) 5 cents c) 15 cents d) Cannot be determined 2. In a lake‚ there is a patch of lily pads. Every day‚ the patch doubles in size. If it takes 48 days for the patch to cover the entire lake‚ how long would it take for the patch to cover half of it? a) 47 days b) 24 days c) 13 days d) Cannot be determined 3. Bob is in a bar‚ looking at Susan
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Iva Rhiana C. Santiago 4218 “Man is like a fraction whose numerator is what he is and whose denominator is what he thinks. The greater the denominator‚ the lesser the fraction.” –Lev Tolstoy We should take note that in a fraction‚ as the denominator becomes larger‚ the value of the fraction becomes lesser. Man is also like a fraction as what Lev Tolstoy said in his quotation. Life is full of choices‚ full of situations. Where sometimes all our way to run away is by pretending. Pretending is one
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Shania Lewis Period 6B September 4‚ 2012 Problem of the Week: The Broken Eggs Problem Statement: A farmer is carrying her eggs in a cart when she accidentally spills every one of them and they all break. She decides to go to her insurance agent‚ who asks her how many eggs she had. She’s not sure but she does know some information from various ways she tried to pack her eggs. She knows that when she put her eggs in groups of one‚ two‚ three‚ four‚ five‚ and six‚ there was always one egg left
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Learning Team Brain Teaser 1 Learning Team D Brain Teaser Nicole Fredrickson‚ Dede Elliott‚ Cela White & Tomorrow Nelson Math 213 July 13‚ 2015 Zarmina Peracha Learning Team Brain Teaser 2 As individuals‚ the team explored the question: For any n x m rectangle such that GCD(n‚m) = 1‚ find a rule for determining the number of unit squares (1 x 1) that a diagonal passes through. The rectangles are a) 2 by 7 and b) 3 by 4. In order to come up with an appropriate solution
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1. Using money and colored counters are also good ways of teaching place value. 2. The three different types of subtraction problems are separation problems‚ comparison problems‚ and part-whole problems. -Separation problems are take away problems‚ it involves having one amount and taking another from it. For example: Joe had 12 pennies and gave Sue 4 pennies. How many pennies does Joe have left? Answer: Joe has 8 pennies left. -Comparison problems are problems where you find the difference. For
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Page 1 of 2 ZOOM Broken Eggs By Randall.KA farmer went to the market and broke all of her eggs! She needed to figure out how many eggs she had. She put her eggs in different groups. She put them in groups of 2‚ 3‚ 4‚ 5‚ 6‚ and 7. When she tried to put the eggs in groups 2 through 6 she had one egg left over‚ but when she put the eggs into groups of seven she didn’t have any left over. How many eggs did she have? Are there more than one possibility?When we attempted to find the amount
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Adding & subtracting fractions 1. Where in life is this useful? a) Cooking: [pic] b) Measurements (construction‚ remodeling‚ etc): [pic] c) Time: [pic] d) Money: [pic] 2. Fractions with the same (“common”) denominators Example: (without converting back & forth from mixed numbers): [pic] [pic] 3. Fractions with different denominators In order to add (or subtract) fractions with different denominators
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