Carol spends 52.5 hours practicing her culinary skills in a 5 week period. 
17*2= 44 hours for 4 weeks
17/2= 8.5 for 1 week (half of 2 week period)
44+8.5= 52.5
        
             
        
        
        
To solve for this, we need to find for the value of x
when the 1st derivative of the equation is equal to zero (or at the
extrema point). 
So what we have to do first is to derive the given
equation:
f (x) = x^2 + 4 x – 31
 
Taking the first derivative f’ (x):
f’ (x) = 2 x + 4
 
Setting f’ (x) = 0 and find for x:
2 x + 4 = 0
x = - 2
 
Therefore the value of a is:
a = f (-2)
a = (-2)^2 + 4 (-2) – 31
a = 4 – 8 – 31
a = - 35
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
 Subtract 490 from both sides
  Subtract 490 from both sides
          Then flip
   Then flip  multiply both sides by
 multiply both sides by  to cancel out
 to cancel out 
        Thus giving you -735 as your
  Thus giving you -735 as your  .
.
Then you plug it back into the equation to solve.  
 
        
             
        
        
        
Answer: No, they are not similar
Step-by-step explanation:
        Similar triangles are triangles with congruent angles. 
                    33° ≠ 32°
        These triangles are not similar.
 
        
             
        
        
        
A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. 
<h3>What is a function?</h3>
A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.
x          -1   0   1    2   3   4
g(x)     24  6   0  -2  
Based on the line, we can logically deduce the following points:
- y-intercept approaches -2.43 to 24.86.
- x-intercept approaches negative infinity (-∞) to infinity (∞).
This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. 
Read more on function here: brainly.com/question/9315909
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