The required expression is 
Step-by-step explanation:
We need to identify the expression correctly represents “nine less than the quotient of a number and four, increased by three"
Solving:
Let the number is x
The quotient of number and four: 
nine less than the quotient of a number and four: 
Increased by 3 : 
So, nine less than the quotient of a number and four, increased by three is:

So, The required expression is 
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