Substitution theorem - Study guides, Class notes & Summaries

1. Whole Numbers 1.1 Introduction to Whole Numbers 1.2 Adding and Subtracting Whole Numbers 1.3 Multiplying Whole Numbers 1.4 Dividing Whole Numbers 1.5 Exponents, Order of Operations, and Averages 1.6 More on Solving Word Problems 2. Fractions 2.1 Factors and Prime Numbers 2.2 Introduction to Fractions 2.3 Adding and Subtracting Fractions 2.4 Multiplying and Dividing Fractions 3. Decimals 3.1 Introduction to Decimals 3.2 Adding and Subtracting...

relation correct answers A set of ordered pairs function correct answers a relation in which each element of the domain is paired with exactly one element of the range domain correct answers Set of inputs (x-value) range correct answers Set of outputs (y-value) asymptote correct answers Is a line (boundary) that a graph gets closer and closer to, but never touches or crosses it coefficient correct answers A number multiplied by a variable in an algebraic expression. even functi...

What is a pareto improvement? correct answers If changing allocation can make someone better of while not making someone else worse off. E.g. raising utility for some while not reducing it for others. What is the Pareto optimum / a Pareto efficient allocation? correct answers The point where no one can be made better without making someone else worse off. What is the marginal rate of substitution and its formula? correct answers Marginal rate of substitution (MRS) across goods for an agent...

Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180 Auxiliary Line Line helping to prove that a triangle's angles add up to 180 using AIA's, angles that form a straight line, substitution Corollary A statement that can be easily proved by applying a theorem - extension of a theorem & can be used as reasons in proof 4.1 The acute angles of a right triangle are complementary. 4.2 There can be at most one right or obtuse angle in ...

Function - correct answer A rule that assigns "x" exactly one element called f(x). Lines - correct answer y=mx+b m=(y2-y1)/(x2-x1) Polynomial - correct answer A monomial or a sum or difference of monomials Rational Function - correct answer a ratio of polynomials Power Function - correct answer y...

ALGEBRA 2 MCRAW HILL EXAM TEST BANK QUESTIONS WITH 100% CORRECT ANSWERS UPDATED Quadratic form - Answer-A different/new way to write an expression that's equivalent to original equation Relative maximum - Answer-Point a of the function since no other nearby points have a greater y-coordinate Relative minimum - Answer-Point b since no other nearby points have a lesser y-coordinate Simplify - Answer-To rewrite the expression without parenthesis or negative exponents Synthetic divis...

1. Whole Numbers 1.1 Introduction to Whole Numbers 1.2 Adding and Subtracting Whole Numbers; Perimeter 1.3 Multiplying and Dividing Whole Numbers; Area 1.4 Exponents, Variables, and Algebraic Expressions 1.5 Rounding and Estimating; Square Roots 1.6 Order of Operations 1.7 More with Equations and Problem Solving 2. Integers 2.1 Integers and the Number Line 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers 2.5 Order of Operations; Averages 2.6 So...

Aesthetic digital concise summaries of all the theory and some examples you need to know for mathematics 114. The whole semester's content for mathematics 114 is summarised. Self-study: Revision of coordinate geometry & straight lines These are topics that you should be familiar with from school. Some students forget some of this material by the time they start their first year, and therefore need to revise them. These topics are all required for Calculus topics later on. Week 1: Numbers,...

ETS MATH PRAXIS 5164 QUESTIONS AND ANSWERS 100% PASS Andre has driven 98 miles, which is 35% of the total distance he must drive on his trip. How many more miles does Andre have to drive on his trip? A.34 B. 182 C. 280 D. 378 182 Correct Answer: B Option (B) is correct. Since Andre has driven 35% of the total distance, he still has 65% of the total distance left to drive. The distance he has left to drive can be found using the proportion the fraction 98/0.35 = x/0.65 where x represents the di...

Question 1 Correct 6.25 points out of 6.25 Question 2 Correct 6.25 points out of 6.25 Multiply the polynomials by using the distributive property. Select one: a. b. c. d. Factor completely. Select one: a. b. c. d. (8t7u3)(3t4u5) 24t3u−2 11t11u8 24t11u8 24t28u15 9x4 + 21x3 − 9x2 − 21x −3x(3x + 7)(x + 1)(x − 1) 3x(3x + 7)(x + 1)(x − 1) 3x(3x − 7)(x + 1)(x − 1) 3x(3x + 7)(x + 1)2 Straighterline MAT201 PRECALCULUS GRADED EXAM 1 (New Version August 2024) ...