How many solutions are there for the absolute value equation "| 16+ t | = 2t - 3"?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Hello : 
 <span>| 16+ t | = 2t - 3  .....(*)
note 1  : if  ( a = b ) so : (a² = b²)
note 2 : </span>| a |² = a²
note 3 : a² - b² = (a+b)(a- b)  
(*) ; (16+t)² = (2t -3)²
(16+t)² - (2t -3)²= ((16+t)+(2t -3))((16+t)-(2t -3))=0
(6t +13)(- t +19)=0
6t+13 = 0     t = -13/6
- t +18 = 0   t = 19
verif : t = 19 :  | 16+ 19 | = 2(19) - 3  : 35 = 35 .. ( right)
t = -13/6 :   | 16 +(-13/6 ) | = 2(-13/6) -3
 | 16 +(-13/6 ) | =-13/3 - 3  < 0  no solution because <span>the absolute value is positif
</span>conclusion : one solution : 19
                                
             
         	    You might be interested in
    
        
        
Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
 
        
             
        
        
        
It should be A. You would keep the 5, and the exponent should be 4+8, which is 12.
 
        
                    
             
        
        
        
Answer:
first
third and
fourth
 
        
             
        
        
        
The right answer is A ! :)
        
             
        
        
        
Answer:
7 buckets
Step-by-step explanation:
50-15=35
35 divided by 5 is 7