Quadratics - Study guides, Class notes & Summaries

System of equations A set of equations with the same variables. The solution is where they intersect on a graph; substitution or elimination Substitution -3x - 4y = -2 y = 2x - 5 substitute for y -3x - 4(2x - 5) = -2 -3x - 8x + 20 = -2 -11x = -22 {x = 2} substitute for x y = 2(2) - 5 y = 4 - 5 {y = -1} solution = (2,1) Elimination/addition 2x - 3y = 15 5x + 3y = 27 make sure either both x's OR both y's are the same 2x - 3y = 15 5x + 3y = 27 add to get rid of y...

Factoring and Simplifying Algebraic Expressions -ANSWER - x²+4x+3 (x+3)(x+1) 3y²+12y 3y(y+4) 4x²-9 (2x+3)(2x-3) Rules Using Positive Integer Exponents and Solving Linear and Literal Equations -ANSWER - (4²)(4³) = 4⁵ must have same base (4²)³ = 4⁶ Geometry - Introductory One-Dimensional Problems -ANSWER - Geometry - Solids and More Complex One-Dimensional Problems -ANSWER - Graphs and Systems of Linear Equations -ANSWER - Simplifying Expressions - Operations...

the number e Also called Euler's (pronounced "oiler's") number, e is a constant equal to 2. 0.7≤r2≤1 strong model / strong correlation 0.3≤r2<0.7 moderate model / moderate correlation 0<r2<0.3 weak model / weak correlation coefficient of determination a number that measures the strength of the fit between a regression function and the data quadratic regression A regression that finds the best-fit curve based on at least three data points. li...

reflecting across x axis - (x, -y) reflecting across y axis - (-x, y) roots - another term for a quadratic's solutions circle equation central-radius form - (x-h)^2 + (y-k)^2=r^2 center is point (h, k) circle equation general format - ax^2+by^2+cx+dy+e=0 a and b must be the same coefficients and you must divide/factor to make them equal 1 -put numbers on left side -group xs and ys together -divide left and right side by number all xs and ys share -take x term co...

Table of Contents Introduction .................................................................................................................................... 1 How to Use This Book ............................................................................................................... 3 General Test Strategies .............................................................................................................. 9 Miscellaneous Things You Must Know ..........................

Natural Numbers The set of numbers 1, 2, 3, 4, ... Also called counting numbers. Integers The set of whole numbers and their opposites Z⁺ Z⁺₀ Rational Number set of all numbers that can be written as a fraction of two integers Q irrational numbers Numbers that can't be written as a fraction... examples √2 and π Universal Set A set that includes all the objects being discussed. - Ex: U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} Perfect Squares a...

Negligence law defines proximate causation as: Client injury caused by the certified exercise physiologists failure to act according to stabdards of care Building rapport with a client means: Developing a relationship of mutual trust and confidence. What is an appropriate question in assessing needs during staffing and recruiting? What staff to member ratio will provide sufficient customer service? One characteristic that all successful salespeople share is they have an ...

Finding the LCM of two numbers when you have the prime factors - correct answer - List all the prime factors out - If a factor appears more than once, list it that many times, e.g. 2, 2, 2, 3, 4 and 2, 2, 3, 4 would be 2, 2, 2, 3, 4 - Multiply these together Finding the HCF of two numbers when you have the prime factors - correct answer - List all the prime factors that appear in both numbers - Mu...

GMAT Math Ultimate Review 2023 Common Factors - ANS-Break down both numbers to their prime factors to see what factors they have in common. Multiply all combinations of shared prime factors to find all common factors. Gross Profit - ANS-Gross profit = Selling Price - Cost Combined Events - ANS-For events E and F: • not E = P(not E) = 1 - P(E) • E or F = P(E or F) = P(E) + P(F) - P(E and F) • E and F = P(E and F) = P(E)P(F) Multiplication Principle - ANS-The number of ways indepe...