D because it says you will be getting at least 4500 or more dollars by adding the adult and student tickets
        
             
        
        
        
Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k. 
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
 x₁ + x₂ = -2/3 and x₁x₂ = k/3
 3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)
3x₁ + (-2x₁) = -2  and x₁(3x₂) = k 
3x₁ - 2x₁ = -2  and x₁(3x₂) = k   
x₁ = -2  and x₁(-2x₁) = k  
x₁ = -2  and -2x₁² = k  
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
 
        
             
        
        
        
The two numbers are 23 and 2
        
                    
             
        
        
        
Answer:
A) 2 cm
Step-by-step explanation:
The sum of two sides of a triangle must be greater than the third side
2 + 3 is not greater than 5