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If p is a non-positive number, then for what value of p does the expression |77 – 6p| holds the minimum value?
- a)77/12
- b)77/6
- c)12
- d)0
- e)-77/6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If p is a non-positive number, then for what value of p does the expre...
As we are trying to minimise the value of the expression |77 – 6p|, our aim should be to minimise the value of 77 – 6p.
- The value of 77 – 6p will be minimum, when 6p will be maximum
- The value of 6p will be maximum, when the value of p will be maximum
Now, we also know that p is a non-positive number.
- Therefore, the maximum value of p = 0
Hence, the correct answer is option D.
Most Upvoted Answer
If p is a non-positive number, then for what value of p does the expre...
Understanding the Problem:
Given expression: |77 – 6p|
We need to find the value of p that minimizes this expression when p is a non-positive number.
Key Point:
- The absolute value of a number is always non-negative.
Solution:
Step 1: Analyzing the Absolute Value Expression
When p is non-positive, the value inside the absolute value changes sign. So, the expression becomes: |77 + 6p|
Step 2: Finding the Minimum Value
To minimize the absolute value expression, we need to find the value of p that makes the expression inside the absolute value zero.
77 + 6p = 0
6p = -77
p = -77/6
Therefore, the minimum value of the expression |77 – 6p| occurs when p = -77/6, which is a non-positive number.
Conclusion:
The correct value of p that makes the expression |77 – 6p| minimum is p = -77/6. Hence, option 'D' (0) is the correct answer.
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If p is a non-positive number, then for what value of p does the expression |77 – 6p| holds the minimum value?a)77/12b)77/6c)12d)0e)-77/6Correct answer is option 'D'. Can you explain this answer?
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