Answer: [tex]9\div (x+1)[/tex]
Step-by-step explanation:
In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .
Given phrase: The quotient of nine and the sum of a number and one
Let the number be x.
Then, the statement become: The quotient of nine and the sum of x and one.
i.e. [tex]9\div (x+1)[/tex] [since sum of x and 1 = x+1]
Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .