Mgf 1106 exam - Study guides, Class notes & Summaries

Set Ans: A collection of objects. Elements Ans: The objects or members of a set. Natural/Counting Numbers Ans: {1,2,3,4...} Whole Numbers Ans: {0,1,2,3,4...} Includes zero. Intergers Ans: {...,-3.-2,-1,0,1,2,3,...} All numbers including positive, negative and zero. Rational Numbers Ans: May be written as a terminating decimal (0.25) or a repeating decimal (0.333...) Irrational Numbers Ans: Decimal representations never terminate and never repeat like pi (3.14...) Real Numbers Ans...

Set - Collection or group of objects (ex: favorite color) Well-defined set - Constant set (ex: multiples of 3) X∈A - X is an element of A X∉A - X is not an element of A Roster method - { } Set builder notation - {x|x is a multiple of 3} A⊆B - A is a subset of B Equation to find number of subsets - 2^x = # (x is number of elements, # is the number of subsets) Equation to find number or proper subsets - 2^x - 1 A∩B - What they share A∪B - Ev...

Find the slope, if it exists: 6x-5y=10 - y=6/5x-2 [Put into y-mx+b] Find the slope, if it exists: x=-5 - The slope is undefined Find an equation n slope-intercept form of the line. Through (1,4), m=-7 - y=-7x+11 [use yy1=m(x-x1)] Find an equation n slope-intercept form of the line. Through (6,9), m=-6 - y=-6x+45 [use yy1=m(x-x1)] Assume that the situation can bee eexpressed as a liner cost funcation. Find the cost function. Fixed cost is $200; 60 iteams cost $3,200 to produce. - c(x) = 50x+...

"If choice X is a winner of an election and, in a reelection, the only changes in the ballots are changes that only favor X, then X should remain a winner of the election." What is this fairness criterion is called? - monotonicity criterion An election is held among five candidates (A, B, C, D, and E) and A gets a majority of the first place votes but B wins the election. Which of the following methods could have been the method used to decide this election? - The Borda count method For ...

Find the slope, if it exists: 6x-5y=10 - y=6/5x-2 [Put into y-mx+b] Find the slope, if it exists: x=-5 - The slope is undefined Find an equation n slope-intercept form of the line. Through (1,4), m=-7 - y=-7x+11 [use yy1=m(x-x1)] Find an equation n slope-intercept form of the line. Through (6,9), m=-6 - y=-6x+45 [use yy1=m(x-x1)] Assume that the situation can bee eexpressed as a liner cost funcation. Find the cost function. Fixed cost is $200; 60 iteams cost $3,200 to produce. - c(x) = 50x+...

Cardinal Number - The number of elements in a set. Complement of a Set - A list of the missing elements in a set needed to complete the universal set. Difference of Sets - A - B is the set of elements belonging to set A but not to set B. Elements - The objects or members of a set. Equal Set - -The sets contain identical elements. -Every element of set A is an element of set B and every element of set B is an element of set A. Equivalent Sets - Contain the same # of elements, but not necess...

"If choice X is a winner of an election and, in a reelection, the only changes in the ballots are changes that only favor X, then X should remain a winner of the election." What is this fairness criterion is called? - monotonicity criterion An election is held among five candidates (A, B, C, D, and E) and A gets a majority of the first place votes but B wins the election. Which of the following methods could have been the method used to decide this election? - The Borda count method For ...