Answer: V = L (k)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
- <em>Volume of a box = V
</em>
- <em>Length = l
</em>
- <em>Constant of proportionality
= k</em>
We know that the volume of the box (V) varies directly with its length (l).
So, the expression for the volume is:
V = L (k)
Feel free to ask for more if needed or if you did not understand something
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).
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4
first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=

so
1x^2-2x+4=0
a=1
b=-2
c=4
x=

x=

x=

we have

and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=

i=

x=

x=

x=

or x=

(those are the 2 numbers)