Quadratic function Study guides, Class notes & Summaries
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SOA - EXAM P QUESTIONS AND ANSWERS
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Chapter 0 
Topics mentioned in Chapter 0 that these flash cards do not cover: - Answer- - graphing inequalities 
- piecewise functions 
- one to one functions 
- limits and continuity 
- basic rules of differentiation 
- basic integration 
- method of substitution 
 
Chapter 0 
For any two sets A and B, (A∩B)∪(A∩B') = - Answer- A 
 
Chapter 0 
Two sets A and B are disjoint if A∩B = - Answer- ∅ 
 
Chapter 0 
n(S) is defined to be - Answer- the number of elements in a set 
 
Chapte...
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MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024
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MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024 
Part 1 
Part 1 
 
 
Simplify 
 
(2a^3b)^-3 
(2^-3 a^(3 -3) * b^-3) 
 
2^-3 a^-9b^-3 
 
1/8a^9b^3 
 
 
Simplify 
 
(-4x^2y^-3)^-2 
y^6/16x^4 
 
 
Simplify 
 
Radical 1/64 
Radical 1/Radical 64 
 
1/8 
 
 
^3 Radical -27 
-3 
 
 
Complex numbers: 
Complex numbers 
 
 
Find x and y such that the following is correct: 
 
 
 
 
3x + 5yi= 15 + 5i 
3x + 5yc= 15 + 5c 
 
3x=15 and 5yc=5c 
 
x=5 and y=1 ...
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UGA Math Placement Test with 100- correct answers
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x=5 (lin equation) 
1 solution 
 
 
 
4=5 (lin equation) 
0 solutions 
 
 
 
5=5 (lin equation) 
infinite solutions 
 
 
 
distance formula 
d squared= delta x squared plus delta y squared 
 
 
 
Slope Intercept Formula 
y=mx+b 
 
 
 
Point Slope Formula 
y-y1=m(x-x1) 
 
 
 
Two Point Formula 
y-y1=(y2-y1)/(x2-x1) x (x-x1) 
 
 
 
Standard Form of a Line 
ax plus by equals c 
 
 
 
if dividing an inequality by a negative number 
flip the sign 
 
 
 
Interval notation 
Bracket= definite, parenthes...
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PRECALCULUS GUIDE
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PRECALCULUS GUIDE 
Rational Number - answer-any number that is a real number that can be written ass a 
terminating or repeating decimal 
Irrational Number - answer-real number that cannot be written as a terminating or repeating 
decimal (square root of 5) 
Quadratic Formula - answer-b±[√b²-4ac]/2a 
Factoring Cubes - answera^3+b^3=(a+b) (a^2-ab+b^2) 
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) 
Discriminant - answer-for quadratic expression, the discriminant is b^2-4ac 
-determines t...
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WGU C215 Operations Management Exam Questions and Answers 100% Pass
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WGU C215 Operations Management Exam 
Questions and Answers 100% Pass 
Methods analysis - Answer- Process concerned with the detailed process for doing a 
particular job 
Conformation to specifications - Answer- Measures how well the product of service 
meets the targets and tolerances determined by its designers 
Fitness for use - Answer- Focuses on how well the product performs its intended 
function or use 
Value for price paid - Answer- Quality that consumers often use for product or service ...
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CH 08 - Nonlinear Optimization Models
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CH 08 - Nonlinear Optimization Models 
© Cengage. Testing Powered by Cognero. Page 1 
True / False 
1. A nonlinear optimization problem is any optimization problem in which at least one term in the objective function or a 
constraint is nonlinear. 
a. True 
b. False 
ANSWER: True 
POINTS: 1 
DIFFICULTY: Easy 
LEARNING OBJECTIVES: IMS.ASWC.19.08.01 - 8.1 
NATIONAL STANDARDS: United States - BUSPROG: Reflective Thinking 
TOPICS: 8.1 A Production Application—Par, Inc., Revisited 
KEYWORDS: Bloom...
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024 
vertex 
-b/2a 
 
 
domain and range 
(-∞ ,∞) 
and brackets for numbers for sure or equal to [ , ] 
parentheses for < or > or infinity 
 
 
end behavior 
odd: different- positive: falls left, rises right; negative: rises left, falls right 
 
even: same- positive: rises x2; negative: falls x2 
 
 
polynomial division 
answer+ (remainder/divison) 
 
 
quadratic formula 
-b±[√b²-4ac]/2a 
 
 
Vertical asympt...
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MATH PLACEMENT TEST EQUATIONS WITH COMPLETE SOLUTIONS 100% 2023/2024
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MATH PLACEMENT TEST EQUATIONS WITH COMPLETE SOLUTIONS 100% 2023/2024 
Distance Formula 
d=√(x₂-x₁)²+(y₂-y₁)² 
 
 
Quadratic Equation 
ax²+bx+c=0 
 
 
Quadratic Formula 
x=-b±√b²-4ac/2a 
 
 
Discriminant 
b²-4ac=0 has 1 real solution b²-4ac>0 has 2 
 
 
Avg Rate of Change for a Function 
∆f(x)/∆x 
 
 
lne = 
0 
 
 
Inverse Function 
xlogx=xyx 
 
 
2π 
360 
 
 
Angle Measure 
x/y=360/2π 
 
 
sinθ (Def of Circular Function) 
y/r 
 
 
cosθ (Def of Circular Function) 
x/...
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A Level-3 Reformulation-Linearization Technique Based Bound for the Quadratic Assignment Problem
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A Level-3 Reformulation-Linearization Technique Based Bound 
for the Quadratic Assignment Problem 
by 
Peter M. Hahn1 
Electrical and Systems Engineering, The University of Pennsylvania 
Philadelphia, PA , USA 
 
 Yi-Rong Zhu 
Electrical and Systems Engineering, The University of Pennsylvania 
Philadelphia, PA , USA 
 
 Monique Guignard 
OPIM Department, The University of Pennsylvania 
Philadelphia, PA , USA 
 
 William L. Hightower 
Mathematics and Computer Science, High Point Univ...
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UGA - Math 1113E - Arnold - Fall 2024 with 100- correct answers
- Exam (elaborations) • 15 pages • 2024
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distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
 
pythagorean theorem 
a²+b²=c² 
 
 
 
area of a triangle 
A=1/2bh 
 
 
 
midpoint formula 
(x₁+x₂)/2, (y₁+y₂)/2 
 
 
 
parabola 
the graph of a quadratic function 
 
 
 
axis of a parabola 
the line passing through the focus and the vertex 
 
 
 
vertex of the parabola 
the highest or lowest point on the graph 
(h,k) = (x,y) 
 
 
 
x-intercepts 
X intercept: (#, 0) 
let y = 0, then solve for x 
 
 
 
y-intercepts 
Y i...
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