Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = 
inches
As given, 4 inch squares are cut from each corner;
So, the width is = 
inches
Length is = 
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get , 
; w = -8(neglect the negative value)
; w = 12 inches
And length = 
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
=> 
=> 
It is true.
Rectangle is a parallelogram with 4 right angles, so as a square.
2.5(v) + 25 <span>because the 2.5 is the independent variable that never changes.</span>
Answers:
Domain is 
Range is ![(-\infty, 4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%204%5D)
============================================
Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of
This interval notation can be thought of as 
----------------------------
The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is 
and that translates to the interval notation of
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
