Quadratic function - Study guides, Class notes & Summaries
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UGA - Math 1113E - Arnold - Fall 2024 with 100- correct answers
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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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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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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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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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AP Calculus AB Final Exam Review
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AP Calculus AB Final Exam Review 
 
Find the zeros of f(x). - Answer>>Set the function equal to 0. Factor or use quadratic formula (if quadratic). 
Or, use a graphing calculator, with 2nd TRACE. 
 
Find the intersection of f(x) and g(x). - Answer>>Set the two functions equal to each other and solve. 
Alternately, use a graphing calculator to find the intersection, with 2nd TRACE. 
 
Show that f(x) is even. - Answer>>Show that f(-x) = f(x). This shows that the graph of f is symm...
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TAMU MPE WITH COMPLETE SOLUTIONS 100% 2023/2024
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TAMU MPE WITH COMPLETE SOLUTIONS 100% 2023/2024 
what the quadratic formula 
-b ± √(b²-4ac) 
-------------------------- 
2a 
 
 
can there be a neg number in a sqrt? 
no 
 
 
can there be a neg domain for log or ln function 
no 
 
 
whats a²-b² equal to 
(a+b)(a-b) 
 
 
Can there be a conjugate for a binomial 
no 
 
 
√3 * √2 = ? 
√3 * √2 ≡ √6 
 
 
what are the four log rules 
log(a) + log(b) = log(ab) 
log(a) - log(b) = log(a/b) 
2Log(c) = log(c)^2 
Inverse Properties =log∨b...
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College Math Placement Test Questions And Revised Correct Answers | Already Passed
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College Math Placement Test 
Questions And Revised Correct 
Answers | Already Passed 
 
The denominator of each fraction is 5. Since the 
denominators are the same, just subtract the numerators: 
4/5 − 1/5 = 4 − 1 /5 = 3/5 - ANSWER : 4/5 − 1/5 = 
A. 3/5 
B. 1 
C. 4 
D. 1/5 
E. None of these 
The number 4 can be written as 4/1, which has 
the same value as 12/3: 
4 − 1/3 = 12/3 − 1/3 = 11/3 = 3 2/3. - ANSWER : 4 − 1/3 = 
A. 3 2/3 
B. 1/3 
C. 3 
D. 2/3 
E. None of these 
Use long div...
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Princeton Review Digital SAT Premium Prep, 2024: 4 Practice Tests + Online Flashcards + Review & Tools (2024) (College Test Preparation) 100% Guaranteed Success
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Princeton Review Digital SAT Premium Prep, 2024: 4 Practice Tests + Online Flashcards + Review & Tools (2024) (College Test Preparation) 100% Guaranteed Success 
 
THE SAT HAS GONE DIGITAL! Ace the exam with The Princeton Review's new guide, packed with subject reviews, techniques specific to the digital format, and 4 full-length practice tests (1 in the book and 3 online, to give you realistic digital practice for the all-digital exam). 
 
This book is for the Digital SAT, which debuts in the...
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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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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
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 
 
 
I...
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