
Example: Reducing a Rational Number
... • The set of rational numbers is the set of all numbers a which can be expressed in the form , where a and b b are integers and b is not equal to 0. • The integer a is called the numerator. • The integer b is called the denominator. The following are examples of rational numbers: ¼, ½, ¾, 5, 0 ...
... • The set of rational numbers is the set of all numbers a which can be expressed in the form , where a and b b are integers and b is not equal to 0. • The integer a is called the numerator. • The integer b is called the denominator. The following are examples of rational numbers: ¼, ½, ¾, 5, 0 ...
(x - 3)(x + 3)(x - 1) (x - 3) - Tutor
... • (5, 0); (3/2, 0); and (-1, 0) are x-intercepts of the graph of the polynomial, • (0, 15) is the y-intercept of the graph of the polynomial, • and the graph of the polynomial function is: ...
... • (5, 0); (3/2, 0); and (-1, 0) are x-intercepts of the graph of the polynomial, • (0, 15) is the y-intercept of the graph of the polynomial, • and the graph of the polynomial function is: ...
Solutions - U.I.U.C. Math
... Suppose for contradiction that xy is odd but one of them (without loss of generality, we can say x) is even. Then x = 2k for some integer k and so xy = 2ky where ky is an integer, so xy is even, a contradiction. Hence both x and y are odd. b) If a and b are real numbers such that the product ab is a ...
... Suppose for contradiction that xy is odd but one of them (without loss of generality, we can say x) is even. Then x = 2k for some integer k and so xy = 2ky where ky is an integer, so xy is even, a contradiction. Hence both x and y are odd. b) If a and b are real numbers such that the product ab is a ...
Default Normal Template
... For example : Let X be any set. Then x X / x x . We say that a set A is a subset of set B if every element of A is also an element of B and we write that A B . The intersection of sets A and B , denoted by A B , is the set of all elements belonging to both set A and set B , i.e. A B ...
... For example : Let X be any set. Then x X / x x . We say that a set A is a subset of set B if every element of A is also an element of B and we write that A B . The intersection of sets A and B , denoted by A B , is the set of all elements belonging to both set A and set B , i.e. A B ...
Select the best answer
... D. the size of a snowball and how long it has been melting 34. Which relation is not a function? A. B. C. D. ...
... D. the size of a snowball and how long it has been melting 34. Which relation is not a function? A. B. C. D. ...
Solve Systems with Elimination
... These notes go one step further and show how to use ELIMINATION with multiplication. What happens when the coefficients are not the same? We multiply the equations to make them the same! You’ll see… ...
... These notes go one step further and show how to use ELIMINATION with multiplication. What happens when the coefficients are not the same? We multiply the equations to make them the same! You’ll see… ...
Pre-Calculus
... 3 Decide if a given algebraic statement is true always, sometimes, or never (statements involving rational or radical expressions, trigonometric, logarithmic or exponential functions). 4 Use the properties of number systems and order of operations to justify the steps of simplifying functions and so ...
... 3 Decide if a given algebraic statement is true always, sometimes, or never (statements involving rational or radical expressions, trigonometric, logarithmic or exponential functions). 4 Use the properties of number systems and order of operations to justify the steps of simplifying functions and so ...
§4.1 Commutative, Associative and Distributive Laws Objectives
... equation and all numbers to the other side. This is known as isolating the variable. Isolating the variable when there is only addition present is done by adding the opposite of the constant term to both sides of the equation (the expression on each side of the equal sign must first be simplified of ...
... equation and all numbers to the other side. This is known as isolating the variable. Isolating the variable when there is only addition present is done by adding the opposite of the constant term to both sides of the equation (the expression on each side of the equal sign must first be simplified of ...