Expressions, Equations, and Functions
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Variable Expressions
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Expressions with One or More Variables
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PEMDAS
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Algebra Expressions with Fraction Bars
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Patterns and Expressions
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Words that Describe Patterns
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Equations that Describe Patterns
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Inequalities that Describe Patterns
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Function Notation
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Domain and Range of a Function
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Functions that Describe Situations
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Functions on a Cartesian Plane
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Vertical Line Test
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Problem-Solving Models
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Trends in Data
Properties of Real Numbers
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Properties of Rational Numbers
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Additive Inverses and Absolute Values
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Addition of Integers
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Addition of Rational Numbers
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Subtraction of Rational Numbers
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Multiplication of Rational Numbers
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Mixed Numbers in Applications
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Expressions and the Distributive Property
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When to Use the Distributive Property
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Division of Rational Numbers
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Applications of Reciprocals
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Square Roots and Irrational Numbers
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Order of Real Numbers
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Guess and Check, Work Backward
Linear Equations
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One-Step Equations and Inverse Operations
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Applications of One-Step Equations
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Two-Step Equations and Properties of Equality
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Multi-Step Equations with Like Terms
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Distributive Property for Multi-Step Equations
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Equations with Variables on Both Sides
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Equations with Ratios and Proportions
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Scale and Indirect Measurement Applications
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Conversion of Decimals, Fractions, and Percent
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Percent Equations
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Percent of Change
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Formulas for Problem Solving
Graphs of Linear Equations and Functions
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Graphs in the Coordinate Plane
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Graphs of Linear Equations
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Horizontal and Vertical Line Graphs
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Applications of Linear Graphs
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Intercepts by Substitution
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Intercepts and the Cover-Up Method
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Slope
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Rates of Change
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Slope-Intercept Form
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Graphs Using Slope-Intercept Form
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Direct Variation
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Applications Using Direct Variation
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Function Notation and Linear Functions
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Graphs of Linear Functions
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Problem Solving with Linear Graphs
Forms of Linear Equations
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Write an Equation Given the Slope and a Point
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Write an Equation Given Two Points
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Write a Function in Slope-Intercept Form
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Linear Equations in Point-Slope Form
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Forms of Linear Equations
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Applications Using Linear Models
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Equations of Parallel Lines
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Equations of Perpendicular Lines
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Families of Lines
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Fitting Lines to Data
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Linear Interpolation and Extrapolation
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Problem Solving with Linear Models
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Dimensional Analysis
Linear Inequalities and Absolute Value
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Inequality Expressions
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Inequalities with Addition and Subtraction
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Inequalities with Multiplication and Division
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Multi-Step Inequalities
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Compound Inequalities
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Applications with Inequalities
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Absolute Value
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Absolute Value Equations
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Graphs of Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Theoretical and Experimental Probability
Systems of Equations and Inequalities
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Graphs of Linear Systems
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Systems Using Substitution
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Mixture Problems
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Linear Systems with Addition or Subtraction
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Linear Systems with Multiplication
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Consistent and Inconsistent Linear Systems
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Linear Programming
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Probability and Permutations
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Probability and Combinations
Exponents and Exponential Functions
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Exponential Properties Involving Products
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Exponential Properties Involving Quotients
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Negative Exponents
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Fractional Exponents
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Scientific Notation
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Scientific Notation with a Calculator
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Exponential Growth
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Exponential Decay
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Geometric Sequences and Exponential Functions
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Applications of Exponential Functions
Polynomials and Factoring
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Polynomials in Standard Form
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Addition and Subtraction of Polynomials
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Multiplication of Monomials by Polynomials
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Multiplication of Polynomials by Binomials
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Special Products of Polynomials
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Monomial Factors of Polynomials
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Zero Product Principle
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Factorization of Quadratic Expressions
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Factor Polynomials Using Special Products
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Factoring by Grouping
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Factoring Completely
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Probability of Compound Events
Quadratic Equations and Functions
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Quadratic Functions and Their Graphs
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Vertical Shifts of Quadratic Functions
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Use Graphs to Solve Quadratic Equations
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Use Square Roots to Solve Quadratic Equations
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Completing the Square
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Vertex Form of a Quadratic Equation
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Quadratic Formula
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Comparing Methods for Solving Quadratics
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Solutions Using the Discriminant
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Linear, Exponential, and Quadratic Models
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Applications of Function Models
Radicals and Geometry Connections
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Graphs of Square Root Functions
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Simplification of Radical Expressions
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Addition and Subtraction of Radicals
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Multiplication and Division of Radicals
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Radical Equations
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Pythagorean Theorem and its Converse
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Distance Formula
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Midpoint Formula
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Measures of Central Tendency and Dispersion
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Stem-and-Leaf Plots
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Box-and-Whisker Plots
Rational Equations and Functions
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Inverse Variation Models
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Graphs of Rational Functions
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Division of Polynomials
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Excluded Values for Rational Expressions
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Multiplication of Rational Expressions
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Division of Rational Expressions
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Addition and Subtraction of Rational Expressions
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Rational Equations Using Proportions
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Clearing Denominators in Rational Equations
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Surveys and Samples
Uncategorized Questions
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Question #06856
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Question #20f62
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Question #5a793
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How do you divide #(x^3-2x+5)/(x^2+4x+3)# ?
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Question #f472a
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#x^4-10x^2+1=0# has one root #x=sqrt(2)+sqrt(3)#. What are the other three roots and why?
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How do you simplify surds in brackets?
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The price of two bags of popcorn and three drinks is #$18.25#. The price of four bags of popcorn and two drinks is #$27.50#. What is the price of one bag of popcorn and one drink?
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Can someone explain Remainder Theorem to me?
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Question #48167
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Question #aabf4
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Question #3fd94
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In #2006# the deficit was #$248bn#. By #2013# the deficit was #$680bn#. What is the average annual rate of change?
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The product of the first ten prime numbers must be divisible by?
a. 16
b. 18
c. 20
d. 22
e. 24
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How do you solve #log_5(2x-1) < 1# ?
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Question #cfb72
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What is the best way of finding #sqrt(13)# without using a calculator?
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How do you solve #abs(5x + 13) = –7#?
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How to solve #4^(x^2)=(1/32)^((x+6)/5)# ?
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The quadratic equation in x is x2 + 2x.cos(A) + K=0.
&also given summation and difference of solutions of above equation are -1 & -3 respectively.
Hence find K & A?
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What are relatively prime multinomials and how do they relate to factorability?
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How do you define two divergent sequences whose termwise product is a convergent sequence?
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What is the wavelength of violet light?
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How do you define a function?
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What is the difference between an othonormal frame and an orthoganol frame of reference?
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How many different anagrams can you form with the word POLYTECHNIQUE?
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Question #452f5
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Question #8a4ec
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What is the new Transforming Method to solve quadratic equations?
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How do you find the slope of #f(x) = 0.5x^2+6x+7.5# at #x=-6# by first principles?
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Solve (3x+y)/8 = (x-y)/5 = (x²-y²)/5.
What is the values for x and y?
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What is an example of an infinite group in which every element is of finite order?
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Question #addf9
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Question #e7833
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Question #289b5
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Solve (z+3)(2-z)(1-2z)>0?
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How to solve (x^2 - 4x +3)(x^2 -3)<0?
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Question #1fec9
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The function #f(x) = 1/(1-x)# on #RR# \ #{0, 1}# has the (rather nice) property that #f(f(f(x))) = x#. Is there a simple example of a function #g(x)# such that #g(g(g(g(x)))) = x# but #g(g(x)) != x#?
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Does #z(x) = sqrt(x^2-5x-6)# have an inverse function?
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Question #ee1fb
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Question #b0e8c
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Question #517e5
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Question #3d967
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Wheat runs out of a silo at a constant rate, forming a conical heap. After #1# minute the height of the heap is #20"cm"#. At what rate is its height increasing at that time?
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Question #f7d59
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Question #44424
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How many planes pass through #3# distinct points in #3# dimensional space?
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Question #9ba75
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How can you evaluate #(y+3)/(4y^2)+y-3#?
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How do you find the square root of #100# ?
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Solve |x²-3|<3 . This looks simple but i could not get the right answer. The answer is (-√5,-1)U(1,√5). How to solve this inequality?
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Question #87f67
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Question #05984
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Question #b85b6
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Question #8cff4
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Question #e72dc
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Question #68395
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How do you prove that zero exists?
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Question #d632b
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How to factor cubic trinomials? x^3-7x-6
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How do I factor #i^2-4t-21# completely?
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How do I factor #6x^2-7x-3# completely?
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How do I simplify #(5x^2)(2x^5)#?
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How do I simplify #(-2c^3)^2#?
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How do I simplify #(t^3)(t^(n-3))#?
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How do I simplify #(10*2^6)/(8*2^(-2))#?
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Question #bafcb
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What is the largest prime factor of #(25!)^3 - (24!)^3 #?
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How do you simplify #3a-14a#?
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Question #2ab73
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How do you factor #4y^2-11y-3#?
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Question #5b380
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Question #8a625
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What is #(sqrt(2x+4))^2#?
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What is the domain of #f(g(x))# if #f(x)=x^2-4# and #g(x)=sqrt(2x+4)# ?
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How do I simplify #(x^2-25)/(x^2+7x+10)#?
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How do I simplify #(x^2-5x+6)/(x^2-4)*(x^2+3x+2)/(x^2-2x-3)#?
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How do I simplify #(2x)/(x+5)÷(6x^2)/(2x+10)#?
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How do I simplify #(2x)/(x-3)-(x)/(x+3)#?
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Question #60254
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Question #df084
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Cot theta+tan theta=k, where theta is an acute angle and k is a constant, has real value of tan theta, show that k«2 or k»2?
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Question #fedfc
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What is the union symbol (#uu#) used for?
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If #100# cats kill #100# mice in #100# days, then how long does it take #4# cats to kill #4# mice ?
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Question #e5f13
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Question #e8fc7
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How do you simplify #(-27/8)^(-4/3)#?
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Question #92987
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What is the new Transforming Method to solve quadratic equations?
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Question #2d2b0
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Question #301cc
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Alan had thrice as many stickers as Janani. After Alan and Janani had given 40% and 20% of their stickers to Wendy respectively, the number of stickers that Wendy had increasedby1/4.Wendyhad1680stickersintheend.HowmanystickerdidJanani have in the end?
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Suppose #x# varies directly as both #y# and #z# (and #y# and #z# vary inversely with each other. If #x=6# when #y=6# and #z=123#, what is the value of #z# when #x=7# and #y-8#?
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How do you solve #3/4x^2-2x+1/2=0# using the quadratic formula?
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How do you solve #-42 < -7x < -35# ?
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How do you factor #x^2-17x+72# ?
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For maximum safety, the distance between the base of a ladder and a building should be 25% of the length of the ladder. Find the safest angle between the ladder and the ground?
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Find all exact angles x in the interval [0,360°] that satisfy the following equations without the use of calculator a)sin x +cos 2x=0 b)cos 2x= sin52 ?