Answer:
Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
Step-by-step explanation:
We are given the following information in the question:
The marginal price per pound (in dollars) is given by:

where x is the supply in pounds.

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.
Thus, we are given that
P(9) = 7
Putting the values, we get,


Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.
P(x) = 4

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
 
        
             
        
        
        
Answer:
b 19.2
Step-by-step explanation:
a = 
 for a circle.  We do not want to find the area for a whole circle.  We only want to find the area for part of a circle.  a hole circle is 360 degrees.
 for a circle.  We do not want to find the area for a whole circle.  We only want to find the area for part of a circle.  a hole circle is 360 degrees.
a = 


a = 
 (
( )
)
a = 19.2 rounded.
 
        
                    
             
        
        
        
Answer: 91.44
Step-by-step explanation:
There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48
30.48 x 3= 91.44
I hope this helps!
 
        
             
        
        
        
Fist convert the equation to vertex form
y = 2(x^2 + 14x) - 8
 y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106
So the vertex is at (-7,-106)