Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
<h3>What is the domain of a function?</h3>
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by 
.
More can be learned about the domain of a function at brainly.com/question/25897115
Answer:
maybe (2,8) but im not so sure im kinda okay at math
Step-by-step explanation:
Answer:
H.
Step-by-step explanation:
A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.
Answer:
3012 books
Step-by-step explanation:
Let y = number of books produced and sold
Total cost = Fixed cost + Variable cost = 32379 + 10.75*y
Total sales = 21.50*y
Set these equal to each other and solve for y
21.50*y = 32379 + 10.75*y
10.75*y = 32379
B = 3012
The publisher must produce and sell 3012 books.
