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).
Answer:
x = -3
Step-by-step explanation:
Step 1: Simplify signs
3x + 7 = -2
Step 2: Subtract 7 on both sides
3x = -9
Step 3: Divide both sides by 3
x = -3
When Sam is 13 his mother will be 39 which is 3 times as old as he is. So Sam's mother will be 3 times as old as Sam will be in 11 years. (Your answer is 11 years.)
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
- 7x-2=x²-10
- x²-7x-8=0
- (x-8)(x+1)=0
- x = -1, 8
As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
Answer:
Solution x = - 1
Step-by-step explanation:
3 / (2x+1) = 9 / 3x
Cross multiply
3(3x) = 9(2x + 1)
Distributive property
9x = 18x + 9
Subtract 18x from both sides
-9x = 9
Divide both sides by -9
x = -1
