Probability that is based on repeated trials of an experiment
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Transformation
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change of a parent function
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function notation
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Fx
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scatter plot
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A graphed cluster of dots, each of which represents the values of two variables. The slope of the points suggests the direction of the relationship between the two variables. The amount of scatter suggests the strength of the correlation
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stretch
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spread out
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linear inequality
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An inequality in two variables whose graph is a region of the coordinate plane that is bounded by a line.
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constant of variation
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the number k in equations of the form y=kx
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range
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all y values
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parameter
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(n.) a determining or characteristic element; a factor that shapes the total outcome; a limit, boundary
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absolute value of a real number
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The distance from zero on a number line
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term
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Each number in a sequence
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translation
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A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.
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parent function
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the most basic function in a family of functions
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solution of an equation
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a value or values that make an equation true
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shrink
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Reduces y values by a factor between 1-0
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absolute value
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The distance a number is from zero on a number line and distance is non negative
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linear equation
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an equation whose graph is a straight line
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coefficient
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A number multiplied by a variable in an algebraic expression.
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extraneous solution
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an apparent solution that must be rejected because it does not satisfy the original equation
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additive inverse
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The opposite of a number
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variable expression
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An expression that consists of numbers, variables, and operations
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dependent variable
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a variable (often denoted by y ) whose value depends on that of another.
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reciprocal
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1 divided by the number
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Multiplicative Inverse
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The reciprocal of a number
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independent variable
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a variable (often denoted by x ) whose variation does not depend on that of another.
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absolute value of a function
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a function written in the form y = /x/, and the graph is always in the shape of a v
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reflection
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A transformation that "flips" a figure over a mirror or reflection line.
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simulation
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an imitation of a possible situation, a model
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mapping diagram
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Links the elements of the domain with corresponding elements of the range
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domain
Front
The set of input values of a function. The x value
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relation
Front
any set of ordered pairs
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trend line
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a line on a scatter plot drawn near the points. it shows a correlation
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evaluate
Front
when you substitute numbers for a variablr
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function
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1. A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. 2. The action or actions that an item is designed to perform.
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linear function
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A function whose graph is a straight line.
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compound inequality
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Two or more inequalities that are connected by the words and or or.
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tolerance
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equals one half the difference between max and min values
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Sample Space (Probability)
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list of all possible outcomes
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vertical line test
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a visual way to determine if a curve is a graph of a function or not.
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theoritical probability
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likelihood that a particular event will occur
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slope-intercept form
Front
y=mx+b
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standard form
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Ax + By = C
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variable
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A symbol used to represent a quantity that can change
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opposite
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Having a different sign but the same numeral.
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vertex
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The common endpoint of an angle
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x-intercept
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where the graph crosses the x-axis
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slope
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Rise over run
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direct variation
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The relationship between two variable quantities that have a constant ratio.
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Section 2
(41 cards)
linear programming
Front
a method for finding a minimum or maximum value of some quantity, given a set of constraints
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determinant
Front
Any attribute in a specific row whose value directly determines other values in that row.
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matrix multiplication
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Performed by multiplying the elements of each row of the first matrix by the elements of each column of the second matrix. Add the products.
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scalar
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a physical quantity that has magnitude but no direction
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scalar multiplication
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the process of multiplying each element of a matrix by a real number or scalar
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image
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The transformed figure
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constant matrix
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a matrix that contains the constants of a system
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ordered triple
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the solution of a system of equations in three variables x, y, and z
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variable matrix
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a matrix that only contains the variables of a system of equations
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range
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y values
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feasible region
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the intersection of the graphs in a system of constraints
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coordinate space
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Adding a third axis, the z-axis, to the xy-coordinate plane
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row operations
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taking rows in matrices and swapping them over or multiplying a row by a number
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zero matrix
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a matrix in which every element is zero
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y-intercept
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where the line crosses the y axis
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linear system
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two or more linear equations that have the same variables
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center of rotation
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A fixed point around which shapes move in a circular motion to a new position.
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square matrix
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a matrix with the same number of rows and columns
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objective function
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the expression that defines the quantity to be maximized or minimized in a linear programming model
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multiplicative identity matrix
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a square matrix with 1 in every entry of the main diagonal and 0 in every other entry
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cramer's rule
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a method that uses determinants to solve a system of linear equations
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inconsistent system
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a system of equations or inequalities that has no solution
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coefficient matrix
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a matrix that contains only the coefficients of a system of equations
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system of equations
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A set of two or more equations with the same variables.
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trace
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Outline; follow the course of
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dependent system
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a system of equations that has infinitely many solutions
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preimage
Front
the original figure
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Matrix
Front
a rectangular array of numbers
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equivalent systems
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systems that have the same solutions
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augmented matrix
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contains the coefficients and the constants from a system of equations
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rotation
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A transformation in which a figure is turned around a point
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dilation
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expansion
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multiplicative inverse matrix
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If A and B are square matrices and AB = BA = I, then B is the multiplicative inverse of A, written A-1.
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equal matrices
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matrices with the same dimensions and equal corresponding elements
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matrix equation
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a matrix form used to represent a system of equations
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constraints
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limitation or restriction
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matrix element
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Every item listed in a matrix is an element of the matrix. An element is identified by its position in the matrix.
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domain
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x values
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constraints
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restrictions placed on potential solutions to a problem
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matrix addition
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You add two matrices with the same dimensions by adding their corresponding elements.
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independent system
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a system of equations that has exactly one solution