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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.
Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.
Let us consider the two positive real numbers as x and y. Then, their sum is written as,
x+y=108
Then, y=108-x
And the product is written as,
P=xy²
Substitute value of y in the above equation, we get,
Now, differentiate P with respect to x, and we get,
Solving the above equation to zero, we get,
Substitute values of x in y=108-x, to get values of y.
If we substitute x=108, we get the y value as zero which doesn't give the required solution.
But, if we substitute x=36, we get,
Thus, the two positive numbers are 36 and 72.
To know more about positive numbers:
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Answer:
9 yards
Step-by-step explanation:
Let the length of each quilt be 'l'.
Given:
Length of green felt (g) = 15 yards
Length of blue felt (b) = 12 yards
Total number of quilts = 3
Now, the length of 3 quilts is given as:
----- (1)
As per question:
Total length = Length of green felt + Length of blue felt
Total length =
--------- (2)
Now, comparing equations (1) and (2), we get:
Hence, each quilt measures 9 yards in length.