Question

Among all pairs of numbers whose difference is 24, find a pair whose product is as small possible. What is the minimum product?
A.) Find Vertex
B.) Find numbers
C.) Find minimum product

x^2 -24x
a = 1
b = -24

function will have a minimum point.
-b/2a
-(-24)/2(1)
12

This means that the product, P, of two numbers whose difference is 24 is a minimum when one of the numbers, x, is 12 .
y = x - 24
y = 12-24
y = -12

The number pair whose difference is 24 and whose product is as small as possible is 12, -12. The minimum product is 12(-12) , or -144

Answer 1

that's correct.

Answer 2

But i asked to post the next question..

Answer 3

the vertex here is (12,0)

Answer 4

did you get it right?