That’s so much to read but I’ll do my best to help
        
                    
             
        
        
        
Is there an a choice ? Or are those all the choices, just making sure
        
             
        
        
        
9514 1404 393
Answer:
   
Step-by-step explanation:
A lot of math is about matching patterns.
For example, ...
   g(x) = f(x -h) +k
means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).
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In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).
The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.
   f(x) = √x
   g(x) = f(x+6) +4
   g(x) = √(x+6) +4 . . . . . . matches choice D
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* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.
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<em>Comment on the graph</em>
I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).
 
        
             
        
        
        
Answer:
3mph
Step-by-step explanation:
his speed per hour will be 3 miles per hour
 
        
             
        
        
        
Answer:
2) Add 21 to both sides
Step-by-step explanation:
When solving  for
 for  , our goal to isolate
, our goal to isolate  such that we have
 such that we have  set equal to something.
 set equal to something.
Therefore, we want to start by adding 21 to both sides. This leaves us with  and we are one step closer to isolating
 and we are one step closer to isolating  .
.