math
posted by Melissa .
The sum of two numbers is 16 . What is the largest possible product between these numbers

1 + 16
2 + 14
3 + 13
4 + 12
5 + 11
6 + 10
7 + 9
8 + 8
Which of those produce the greatest product? 
y = x (16x) = 16x  x^2
dy/dx = 0 at max = 16  2x
so
x = 8
8*8 
or find vertex of that parabola (y = 16xx^2) if you do not know derivatives.
x^2  16 x = y
x^2  16 x + 64 = y+64
(x8)^2 = (y+64)
x = 8 
eight
Respond to this Question
Similar Questions

mathword problems with quadratics
I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is 15. Their product is 100. Find the two numbers. 3) The sum of two numbers is 8. Their product is 12. … 
maths
the sum of N positive integers is 19. what is the maximum possible product of these N numbers? 
Math
When factoring a trinomial that is in the format Ax^2 + Bx + C, the number that is represented by B should be viewed as the _____? 
C programming
Enter two integers between 1 to 10 3 4 Both numbers are less than 5. The sum of two numbers is:1081825676 The product of two numbers is:1081825680 why are the sum and product so weird? 
Math
The product of 1000 whole numbers is 1000. What is the largest possible value the sum of these numbers can have? 
Integers
Suppose a1, a2, . . . , an is a list of n numbers with the following properties: The sum of those n numbers is 500. The sum of the smallest three of those numbers is 48. The sum of the largest two of those numbers is 35. (Note: There … 
precalc
The sum of two numbers is radical 3. Find the largest possible value for their product 
precalc
The sum of two numbers is radical 3. Find the largest possible value for their product 
precalc
The sum of two numbers is radical 3. Find the largest possible value for their product 
math
Two 5digit numbers have the same sum of digits: 2. The largest possible difference between two such numbers has the sum of digits: A 1 B 9 C 18 D 27 E 36