Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Answer:
The total income of designer from this work is $1649.6.
Step-by-step explanation:
The fees charged by the designer = $1600
The commission on total sales = 8%
Total sales amount in the festival = $620
Now, 8% of $620 = 
So, the commission on total sales = $49.6
Also, Total Income of the designer = Deign Fee + 8% Commission fee
= $1600 + $49.6
= $1649.6
Hence, the total income of designer from this work is $1649.6.
The answer to that question is Random Sampling
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:

Answer:
D
Step-by-step explanation:
Linear Functions will never have curve lines in the graph.