Answer:
See definition below
Step-by-step explanation:
Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.
The required value of f(0) is (0+1)!=1!=1.
Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.
Then, our definition is: f:N→N is defined by
- f(0)=1.
- For n≥1, f(n)=(n+1)f(n-1).
The value of x from the given expression is; x= -2/3
<h3>Solving one-variable equations</h3>
The given expression is;
Hence, when we expand the equation; we have;
Read more on one-variable equations;
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Answer:
Apples = 24
Pears = 40
Step-by-step explanation:
Let u be the unit of fruit in the basket,
number of apples: 
number of pears: 
now to find u, we equate the two equations.

Now simplify.



Now we can find the original number of apples and pears by substituting u.
so original number of apples = 
and original number of pears = 
15 volume of the fish tank