Step-by-step explanation:
x²+4x=8
rearrange
x² + 4x - 8 = 0
half of 4 is 2
so
x² + 4x + 2² - 2² - 8 = 0
do x² + 4x + 2²
multiplies to give 4 adds to give 4
2+ 2
(x + 2)²
(x + 2)² - 2² - 8
(x + 2)² - 4 - 8
(x + 2)² - 12
(x + 2 + √12) (x + 2 - √12)
√12 = √4 * √3 = 2 √3
(x + 2 + 2√3) (x + 2 - 2√3)
 
        
             
        
        
        
<span>Let C denote the number of candidates they interview and E the number of employees they train. 
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<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
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If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
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Company has less than <span>$95000, then 400C+3600E<95000.
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Company <span>wants to spend at most 470 hours, then 

. 
</span>
<span>You obtain the system of two inequalities:
</span>

Then you can solve this system according to your demands.
 
        
        
        
Answer:
c
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
c) The total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.
Step-by-step explanation:
    Here,    t = 320.00 + 0.40 b
and  t = The total prices charged by Terrance for packing and moving b boxes.
 s = 250.00 +0.50 b
and  s = The total prices charged by Sylvester  for packing and moving b boxes.
Now, to find the number of boxes, when both the prices are equal.
⇒320.00 + 0.40 b  = 250.00 +0.50 b
or, 320 - 250 = 0.50 b - 0.40 b
or, 0.10 b =  70
or, b= 70/0.10 = 700
Hence, for packing and moving b = 700 boxes, both companies charge the same amount.
Now, the price charged = 320 + 0.4 (b)
                                          = 320 + 0.4(70) = 320 + 280 
                                          = 600
or,  the total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.