Answer:
(-3,1)
Step-by-step explanation:
I took the test ;)
 
        
             
        
        
        
Because  removable discontituity means that the limit of the function at that point has a finite value, and then you define the value of the function as that valu (the limit value).
An asymptote means that the limit of the function goes to positive or negative infinity.
You cannot meet both conditions, finite  and infinity limit at the same time.
        
             
        
        
        
Answer:
($3.90)(12) - (2)($3.90) = 39.00
39.00/12 = 3.25 per pretzel
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:

Let the dimension of the paper be x and y;
Such that:


So:

Substitute 128 for Area

Make x the subject

When 1 inch margin is at top and bottom
The length becomes:


When 2 inch margin is at both sides
The width becomes:


The New Area (A) is then calculated as:

Substitute  for x
 for x

Open Brackets

Collect Like Terms



To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y

Set

This gives:

Collect Like Terms

Multiply through by 


Divide through by 2

Take square roots of both sides



Recall that:



Recall that the new dimensions are:


So:




To double-check;
Differentiate A'




The above value is:

This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
 
        
             
        
        
        
Answer:
 Consider the function f (x) = (x +4) (x + 2). 
Step-by-step explanation: