Answer:
a square plus 2ab plus b square......<em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>you</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>thank</u></em><em><u> </u></em><em><u>you</u></em>
 
        
                    
             
        
        
        
1572/6 = 262 which is an integer so x could be 2 
X could also be 8 because 1578/6 is 263
        
             
        
        
        
Answer:
$22 for popcorn and $8 for pretzels together it would be $30
Step-by-step explanation:
 
        
             
        
        
        
  <span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q: 
(1/q)(dq/dp) − 3/p + 0.003 = 0 
dq/dp = (3/p − 0.003)q. 
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p. 
b) The revenue is pq. 
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1: 
3 − 0.003p = −1 
0.003p = 4 
p = 4/0.003 = 4000/3 = 1333.33</span>
        
             
        
        
        
Answer:
the equation is 
y = 0.75x
And,  the constant of proportionality is 0.75
Step-by-step explanation:
The computation is shown below:
Given that
4y = 3x
And, 
12y = 9x
Here the equation that represent proportional relationship is 
4y = 3x
Divide both sides by 4
y = 3x ÷ 4
Now
12y = 9x
divides both sides by 12
y = 9 ÷ 12x
y = 3 ÷ 4x
y = 0.75x
so the equation is 
y = 0.75x
And,  the constant of proportionality is 0.75