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If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v is
- a)17
- b)-17
- c)-27
- d)27
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the relationship between two variables u and v are given by 2u + v ...
Most Upvoted Answer
If the relationship between two variables u and v are given by 2u + v ...
Given:
2u * v - 7 = 0
AM = 10
To find:
Value of v
Solution:
We know that:
AM = (u + v) / 2
Multiplying both sides by 2, we get:
2 * AM = u + v
Substituting the value of u from the given equation, we get:
2 * AM = (7 / v) + v
Multiplying both sides by v, we get:
2 * AM * v = 7 + v^2
Rearranging, we get:
v^2 + 2 * AM * v - 7 = 0
Using the quadratic formula, we get:
v = (-2 * AM ± sqrt((2 * AM)^2 + 4 * 7)) / 2
v = (-2 * AM ± sqrt(4 * AM^2 + 28)) / 2
v = -AM ± sqrt(AM^2 + 7)
Substituting the value of AM, we get:
v = -10 ± sqrt(100 + 7)
v = -10 ± sqrt(107)
v = -10 ± 10.344
v = -0.344 or -19.656
Therefore, the value of v is -19.656 (option C).
2u * v - 7 = 0
AM = 10
To find:
Value of v
Solution:
We know that:
AM = (u + v) / 2
Multiplying both sides by 2, we get:
2 * AM = u + v
Substituting the value of u from the given equation, we get:
2 * AM = (7 / v) + v
Multiplying both sides by v, we get:
2 * AM * v = 7 + v^2
Rearranging, we get:
v^2 + 2 * AM * v - 7 = 0
Using the quadratic formula, we get:
v = (-2 * AM ± sqrt((2 * AM)^2 + 4 * 7)) / 2
v = (-2 * AM ± sqrt(4 * AM^2 + 28)) / 2
v = -AM ± sqrt(AM^2 + 7)
Substituting the value of AM, we get:
v = -10 ± sqrt(100 + 7)
v = -10 ± sqrt(107)
v = -10 ± 10.344
v = -0.344 or -19.656
Therefore, the value of v is -19.656 (option C).
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Community Answer
If the relationship between two variables u and v are given by 2u + v ...
Mean of v =-( 2× mean of u +7)
v=-(2×10+7)=-27
v=-(2×10+7)=-27
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If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer?
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If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer?.
If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM is v isa)17b)-17c)-27d)27Correct answer is option 'C'. Can you explain this answer?.
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