To find the positive number ( x ) that, when added to its reciprocal ( \frac{1}{x} ), gives the maximum sum, we can express the sum as ( S = x + \frac{1}{x} ). By using calculus, we can determine that this function reaches its minimum at ( x = 1 ), which means that the maximum sum occurs symmetrically around that point. Therefore, the maximum sum ( S ) occurs at ( x = 1 ), giving ( S = 1 + 1 = 2 ).
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
If a positive and negative number are added together, and the positive number has a greater value, the sum will be positive.
2 and 4
A positive number added to another positive number always results in a positive sum.
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
A natural number is doubled when added to its reciprocal. Find that number!
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
One.
If a positive and negative number are added together, and the positive number has a greater value, the sum will be positive.
2 and 4
Positive numbers always result in positive numbers when added, divided, or multiplied by another positive number.
A positive number added to another positive number always results in a positive sum.
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
The sum of a positive number and a negative number can be either negative or positive. 9 + -3 = 6 9 + -13 = -4
Positive. A negative number added to a positive would reduce the original to a smaller positive, to zero, or to a negative depending on their relative values but subtracting a negative number from a positive number will always increase the value of the positive.
A positive number added to a negative number may be either positive or negative depending on the magnititude ( absolute value) of the numbers. But a positive number multiplied by a negative number is always negative.
The answer to a problem that has a negative number added to a negative number would be negative.It would be a negative