Luz R. 3 Answers By Expert Tutors Here is an algebraic solution: Let x = one of the numbers. Then 14-x is the other So, we are to maximize y = x(14-x) = -x2+14x The graph of y = -x2+14x is a parabola opening downward with x-intercepts (0,0) and (14,0). The x-coordinate of the maximum point lies halfway between 0 and 14. So, the two numbers are 7 and 7.
Michael J. answered • 03/26/16 Best Afterschool Tutor to Prepare You For Your Regents
Lets make a chart of x and y in which the sum is 14, and shows their product. Based on this chart, look for the maximum product. Then look for the x and y values that give that product.
For situations like this, the maximum product is one that is a square. So if the sum is 14, the two numbers have to be 7 and 7. This way we get a product of 49. Just to be sure, check the other combinations of addend for their product.
Page 2
Page 3
Page 4
Page 5
Page 6
Page 7
Page 8
Page 9
Page 10
Page 11
Page 12
Page 13
Page 14
Page 15
Page 16
Page 17
Page 18
Page 19
Page 20
Page 21
Page 22
Page 23
Page 24
Page 25
Page 26
|