Answer:
Number of statues that can be painted are 17
Step-by-step explanation:
Initially Diana has  liters of paint remaining.
 liters of paint remaining.
Every statue requires  liters of paint for painting.
 liters of paint for painting.
We have to find how many statues we will be able to paint with this remaining paint.
To get the number of statues,
Number of statues = 
number of statues = 
                                =  = 17.5
 = 17.5
Since the number of statues is not an integer the maximum number of statues that can be painted are 17.
 
        
                    
             
        
        
        
Answer:
5 oil changes.
Step-by-step explanation:
60 = 12x + 15y
60 = 12x + 15(0)
60 = 12x + 0
60 
---- = x 
12
5 = x
 
        
             
        
        
        
Answer:
<u>x^3-8x^2+5x+14</u>
Step-by-step explanation:
(x+1)(x-2)(x-7)
x^3-8x^2+5x+14
 
        
             
        
        
        
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
![\log_{2}[\log_{2}(\sqrt{4x})]=1](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%5B%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%5D%3D1)
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is  .
.
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does  not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.