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Which of the following calculations will yield an even integer for any integer α?
- a)2α2 + 3
- b)4α3 + 1
- c)5α2 + 2
- d)6α4 + 6
- e)α6 - 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following calculations will yield an even integer for any...
The correct answer is d. Any integer when multiplied by an even integer results in an even integer.
Also, the addition of any two even integers yields another even integer. Thus, regardless of the value of α or the power of α, multiplying by an even integer and adding an even integer will yield an even integer. This only occurs in the calculation 6α4 + 6.
Also, the addition of any two even integers yields another even integer. Thus, regardless of the value of α or the power of α, multiplying by an even integer and adding an even integer will yield an even integer. This only occurs in the calculation 6α4 + 6.
Most Upvoted Answer
Which of the following calculations will yield an even integer for any...
The following calculations will yield an even integer for any integer:
1. Addition: Adding any two integers will always result in an even integer. For example, (-2) + 4 = 2, (-5) + (-7) = -12, etc.
2. Subtraction: Subtracting any two integers will also always result in an even integer. For example, 7 - 3 = 4, (-8) - (-2) = -6, etc.
3. Multiplication: Multiplying any integer by an even integer will yield an even integer. For example, 3 x 2 = 6, (-4) x (-6) = 24, etc.
4. Division: Dividing an even integer by any non-zero integer will also yield an even integer. For example, 8 ÷ 2 = 4, (-10) ÷ (-5) = 2, etc.
Note: When dividing an odd integer by an even integer, the result will be an odd integer.
1. Addition: Adding any two integers will always result in an even integer. For example, (-2) + 4 = 2, (-5) + (-7) = -12, etc.
2. Subtraction: Subtracting any two integers will also always result in an even integer. For example, 7 - 3 = 4, (-8) - (-2) = -6, etc.
3. Multiplication: Multiplying any integer by an even integer will yield an even integer. For example, 3 x 2 = 6, (-4) x (-6) = 24, etc.
4. Division: Dividing an even integer by any non-zero integer will also yield an even integer. For example, 8 ÷ 2 = 4, (-10) ÷ (-5) = 2, etc.
Note: When dividing an odd integer by an even integer, the result will be an odd integer.
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Which of the following calculations will yield an even integer for any integer α?a)2α2 + 3b)4α3 + 1c)5α2 + 2d)6α4 + 6e)α6 - 3Correct answer is option 'D'. Can you explain this answer?
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Which of the following calculations will yield an even integer for any integer α?a)2α2 + 3b)4α3 + 1c)5α2 + 2d)6α4 + 6e)α6 - 3Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Which of the following calculations will yield an even integer for any integer α?a)2α2 + 3b)4α3 + 1c)5α2 + 2d)6α4 + 6e)α6 - 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following calculations will yield an even integer for any integer α?a)2α2 + 3b)4α3 + 1c)5α2 + 2d)6α4 + 6e)α6 - 3Correct answer is option 'D'. Can you explain this answer?.
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