Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,

So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
Answer:
{-12,12}
Step-by-step explanation:
-|-x| = -12 multiply both sides by -1
|-x| = 12 apply rule for solving absolute value equations
-x = 12 and -x = -12 solve
x = -12 and x =12
It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):
V = pi*r^2*h
We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.
Conner's work is correct. To combine and make it simple, you Multiply:
(3^5+9)+(6^8+10) which will equal 3^14 6^18.
But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.
Hope that helped!