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What is the greatest possible product that can be formed by two positive integers whose sum is 128?
That would be 64 x 64 = 4096
If you know calculus, this is a maxima-minima problem.
X+ Y = 128
Y = 128 - X
PRODUCT = P = XY = X ( 128 -X) = 128X - X^2
Take first derivative with respect to X and set = 0 - that is slope zero where value is either minimum or maximum
dP/dX = 128 - 2X = 0
X = 64
Y = 64
What else can I help you with?
Is the product of 4 negative integers positive or negative?
Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.
Is the product of two positive integers always positive?
No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.
What is the product of two negative integers?
The product of two negative integers is positive as for example -4 times -5 = 20
The product of two integers is positive. when is this statement true?
This statement is true when the two integers are positive, or when the two integers are negative.
Are the sum of two negative integers positive?
No. Two negative integers added together will never equal a positive integer. It is the product of two negative integers that is positive.
What is the sign of the product of three positive integers and five negative integers?
The product of three positive integers is positive, and the product of five negative integers is negative. When you multiply a positive number by a negative number, the result is negative. Therefore, the sign of the product of three positive integers and five negative integers is negative.
What will be the sign of the product if we multiply 90 negative integers and 9 positive integers?
The product of any number of negative integers is positive if there is an even count of them, and negative if there is an odd count. Since 90 is an even number, the product of the 90 negative integers will be positive. When this positive product is multiplied by the 9 positive integers, the overall product remains positive. Therefore, the sign of the product will be positive.
Is the product of 3 positive integers positive?
It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.
What ia the smallest possible sum of 2 positive integers whose product is 36?
12
Is the product of 4 negative integers positive or negative?
Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.
Positive integer whose sum is 14 have the smallest product?
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
Is the product of two positive integers always positive?
No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.
What is the product of two negative integers?
The product of two negative integers is positive as for example -4 times -5 = 20
The product of any two integers is a positive integer?
No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.
What can you say about the product of an integer and a positive integer?
-- The product is an integer. -- If the original two integers are both positive, then the product is positive. -- If the original two integers have different signs, then the product is negative.
What can you conclude about the signs of two integers whose product is positive and negative?
The product of two integers cannot be "positive and negative".
What is the rule in dividing integers?
The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.
