We are given equation: y=ln(x) .
And translation is 5 units down.
We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.
For the given translation 5 unit down, 5 should be less than 0.
Number less than 0 are negative numbers.
So, we need to add -5 in the given function to ln(x).
So, we would get the final equation for five units down as
y =ln(x) - 5.
 
        
                    
             
        
        
        
Answer:
3:2 is equal to 12:8 and 12:8 is not 9:8
Step-by-step explanation:
Ratios are also fractions
3/2 is also 12/8
12/8 is not 9/8
 
        
                    
             
        
        
        
Answer: 1 gallon costs 0.40 $
Step-by-step explanation: 6 gallons / 15$ = 0.4 gal/$
 
        
             
        
        
        
Phone card = $20  
You need to minus 17.92 from 20 = $2.08  
$2.08 / 0.13 = how many minutes  
= 16