Answer:
a) 
b) The lowest point of 
, 
 is when x = 
Step-by-step explanation:
a) To simplify the expression 
 you must:
Apply Difference of Two Squares Formula: 



Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of 
, 
 is when x = 
 
        
             
        
        
        
She could donate extra forks utensils and also donate spoon utensils and she will have the exact number of utensils as the knives
        
             
        
        
        
The sixth graders collected $250 of their $300 goal. The seventh graders collected $250 of thier $450 goal.
Sixth Graders:
$250 / $300 
Reduce: $25 / $30 = 5/6
Seventh Graders:
$250 / $450
Reduce: $25 / $45 = 5/9
        
             
        
        
        
32 cups 
It is thirty two cups because that’s how many are in 2 gallons 
 
        
             
        
        
        
Answer: He will have 88 cups of punch left over
Step-by-step explanation: