Sets - Lindsay ISD
... o Given any Real Number, a, there exist another Real Number, – a, such that when the two numbers are added together they equal to zero. These two numbers are called opposites. The concept of opposites is the reason the Addition Principle of Equality and Inequalities “works” for equations and inequal ...
... o Given any Real Number, a, there exist another Real Number, – a, such that when the two numbers are added together they equal to zero. These two numbers are called opposites. The concept of opposites is the reason the Addition Principle of Equality and Inequalities “works” for equations and inequal ...
Algebraic Expressions (continued)
... The domain of a quotient is the set of real numbers that the variable in the quotient is permitted to have, so that the quotient is defined. Examples: Find the domain of the following quotients. x2 + 1 x2 − x − 2 ...
... The domain of a quotient is the set of real numbers that the variable in the quotient is permitted to have, so that the quotient is defined. Examples: Find the domain of the following quotients. x2 + 1 x2 − x − 2 ...
![arXiv:1003.5939v1 [math.CO] 30 Mar 2010](http://s1.studyres.com/store/data/016290525_1-37241e0159a202e5bf035fd4e5a48270-300x300.png)
Determine the number of odd binomial coefficients in the expansion
... binomial theorem we see that k is odd for k = 0, 2, 8, 10, and it is even for all other k. Similarly, the product (1 + x)11 ≡ (1 + x8 )(1 + x2 )(1 + x1 )(mod 2) is a polynomial containing 8 = 23 terms, being the product of 3 factors with 2 choices in each. In general, as the sum of p distinct powers ...
... binomial theorem we see that k is odd for k = 0, 2, 8, 10, and it is even for all other k. Similarly, the product (1 + x)11 ≡ (1 + x8 )(1 + x2 )(1 + x1 )(mod 2) is a polynomial containing 8 = 23 terms, being the product of 3 factors with 2 choices in each. In general, as the sum of p distinct powers ...
methods of proofs
... What if I prove “If √r is rational, then r is rational”, is it equivalent? Yes, this is equivalent, because it is the contrapositive of the statement, so proving “if P, then Q” is equivalent to proving “if not Q, then not P”. ...
... What if I prove “If √r is rational, then r is rational”, is it equivalent? Yes, this is equivalent, because it is the contrapositive of the statement, so proving “if P, then Q” is equivalent to proving “if not Q, then not P”. ...
Full text
... After learning these strange things, I constructed a table, starting with m - 2 because 2 was the natural place to start and going to 28 because my paper had 27 lines and then adding 29 because it seemed a shame to stop when the next entry would be prime. We can now shed light on the question that a ...
... After learning these strange things, I constructed a table, starting with m - 2 because 2 was the natural place to start and going to 28 because my paper had 27 lines and then adding 29 because it seemed a shame to stop when the next entry would be prime. We can now shed light on the question that a ...
Algebra I Midterm Review 2010-2011
... 1. Give one example of an Irrational Number:________________ 2. Real Numbers can be classified as ________________ or ______________. 3. If a number is a Whole number, it will always be a: a) N, Z, Q, R ...
... 1. Give one example of an Irrational Number:________________ 2. Real Numbers can be classified as ________________ or ______________. 3. If a number is a Whole number, it will always be a: a) N, Z, Q, R ...
