Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
The range of the sine and cosine functions is  .
.
This means that the maximum value the basic sine and cone functions is 1 and the minimum value is -1.
This means that the two functions are bounded above and below.
The correct answer is B.
 
        
             
        
        
        
Question:
Solution:
Note that :

where the left hand of the equation represents a trinomial and the right hand of the equation represents a product of two binomials. Then, we can conclude that the correct answer is:
B
 
        
             
        
        
        
Answer:
Advantages of mathematical models are they are useful and easy to prodce allowing faster decision making. They can help us to grow our understanding of the real world and they enable us to be made as well as help provide to understand the exact condition of stability for the considered system. 
Step-by-step explanation:
Advantages of mathematical models are they are useful and easy to prodce allowing faster decision making. They can help us to grow our understanding of the real world and they enable us to be made as well as help provide to understand the exact condition of stability for the considered system.