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Questions and Answers
Which of the following statements accurately describes a binary operation on real numbers?
Which of the following statements accurately describes a binary operation on real numbers?
- It combines any two numbers (real or imaginary) to produce a real number.
- It combines any two real numbers to produce either a real or imaginary number, depending on the operation.
- It combines two real numbers to produce an imaginary number.
- It combines two real numbers to produce another real number. (correct)
If the binary operation 'triangle' is defined as a triangle b = 2a + b², what is the result of 3 triangle 4?
If the binary operation 'triangle' is defined as a triangle b = 2a + b², what is the result of 3 triangle 4?
- 22 (correct)
- 64
- 44
- 14
Suppose a binary operation 'circle' is defined as x circle y = x² - y. What is the value of 6 circle 2?
Suppose a binary operation 'circle' is defined as x circle y = x² - y. What is the value of 6 circle 2?
- 8
- 34 (correct)
- 4
- 38
Given that the binary operation 'star' is defined as a star b = (a + b) / 2, evaluate 7 star 3.
Given that the binary operation 'star' is defined as a star b = (a + b) / 2, evaluate 7 star 3.
A binary operation 'hashtag' is defined such that a hashtag b = a² - b². What is 5 hashtag 3?
A binary operation 'hashtag' is defined such that a hashtag b = a² - b². What is 5 hashtag 3?
If the binary operation 'at' is defined by a at b = a³ - b, what is the result of 4 at 2?
If the binary operation 'at' is defined by a at b = a³ - b, what is the result of 4 at 2?
Given the binary operation 'percent' defined as x percent y = 2x + xy, what is the value of 3 percent 5?
Given the binary operation 'percent' defined as x percent y = 2x + xy, what is the value of 3 percent 5?
Consider the binary operation 'square' defined as a square b = a² + b - ab. Evaluate 4 square 2.
Consider the binary operation 'square' defined as a square b = a² + b - ab. Evaluate 4 square 2.
If the binary operation 'caret' is given by x caret y = 3x - y², what is 5 caret 2?
If the binary operation 'caret' is given by x caret y = 3x - y², what is 5 caret 2?
Suppose the binary operation 'tilde' is defined as a tilde b = (a - b)². What is 8 tilde 5?
Suppose the binary operation 'tilde' is defined as a tilde b = (a - b)². What is 8 tilde 5?
Given the binary operation 'circle plus' defined as a circle plus b = a² + 2b, find the value of 2 circle plus 7.
Given the binary operation 'circle plus' defined as a circle plus b = a² + 2b, find the value of 2 circle plus 7.
The operation 'box' is defined as x box y = 4x - y. What is 6 box 3?
The operation 'box' is defined as x box y = 4x - y. What is 6 box 3?
If the binary operation 'diamond' is defined as a diamond b = a² + b², what is 3 diamond 4?
If the binary operation 'diamond' is defined as a diamond b = a² + b², what is 3 diamond 4?
Given the binary operation 'oplus' defined as x oplus y = x³ - y², evaluate 2 oplus 3.
Given the binary operation 'oplus' defined as x oplus y = x³ - y², evaluate 2 oplus 3.
Consider the binary operation 'vee' such that a vee b = 2a² - b. What is the result of 5 vee 8?
Consider the binary operation 'vee' such that a vee b = 2a² - b. What is the result of 5 vee 8?
If 'a cross b' is defined as a cross b = (a + b)(a - b), evaluate 6 cross 4.
If 'a cross b' is defined as a cross b = (a + b)(a - b), evaluate 6 cross 4.
Given the binary operation 'hat' where x hat y = x² - 2y, what is 4 hat 3?
Given the binary operation 'hat' where x hat y = x² - 2y, what is 4 hat 3?
The binary operation 'double star' is defined as a double star b = 3a + b². Determine the value of 2 double star 5.
The binary operation 'double star' is defined as a double star b = 3a + b². Determine the value of 2 double star 5.
Consider the binary operation 'inverse circle' defined as x inverse circle y = x² - xy + y². What is 3 inverse circle 2?
Consider the binary operation 'inverse circle' defined as x inverse circle y = x² - xy + y². What is 3 inverse circle 2?
Let the binary operation 'box plus' be defined as a box plus b = (a + b) / (a - b). Evaluate 5 box plus 2.
Let the binary operation 'box plus' be defined as a box plus b = (a + b) / (a - b). Evaluate 5 box plus 2.
Flashcards
Binary Operation
Binary Operation
A process that combines two real numbers to produce another real number.
Basic Binary Operations
Basic Binary Operations
Addition, subtraction, multiplication, and division are fundamental ways to combine numbers.
Defined Binary Operation
Defined Binary Operation
A binary operation created by the combination of basic operations, denoted by a symbol (e.g., star).
Evaluating Defined Operations
Evaluating Defined Operations
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Evaluate: 3 (star) 2, if a (star) b = 4a - b
Evaluate: 3 (star) 2, if a (star) b = 4a - b
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Evaluate: 5 (circle dot) 3, if x (circle dot) y = x² + 2y - xy
Evaluate: 5 (circle dot) 3, if x (circle dot) y = x² + 2y - xy
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