Answer:
Step-by-step explanation:
(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab
x²+9 +6x -5 =0 , combine like terms
x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a
x= (-6 ±√6²-4*1*4)/2*1 
x= (-6 ± √36-16) /2
x= (-6±√20)/2 
x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify 
x= -3 +√5 and x= -3 -√5
 
        
             
        
        
        
Step-by-step explanation:
multiply 
when 1 number is given and many is asked means multiply
 
        
             
        
        
        
Answer:
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Step-by-step explanation:
Given that:
Cost of each lunch = $2.50 
Cost of monthly lunch pass = $40.00
Number of lunches = x 
For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore
Cost of lunch * Number of lunches > Cost of monthly lunch pass
2.50x > 40.00
Hence, 
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
 
        
                    
             
        
        
        
Answer:
8.06
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(6 - 2)² + (0 - 7)²
√(4)² + (-7)²
√(16) + (49)
√65
= 8.06
 
        
             
        
        
        
Answer:
$4.55
Please give me the brainliest! 
Hope this helps!