Step-by-step explanation:
We will prove by mathematical induction that, for every natural n,

We will prove our base case (when n=1) to be true:
Base case:

Inductive hypothesis:
Given a natural n,

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
Observe that, for y=0 the conclusion is clear. Then we will assume that 

With this we have proved our statement to be true for n+1.
In conlusion, for every natural n,

Answer:
she can buy 3 with a total of six dollars remaining after she bought the three video games
Step-by-step explanation:
200-134 =66
66 -60=3
First you need to c<span>onvert the given percentage into fraction by dividing it by 100 and removing percentage symbol (%).
Then you reduce the fraction into simplest forms.
Finally you write the </span> fraction turned simplest form to a ratio by writing
the numerator first,then the denominator.
Example:50%=


.
=1:2
4 pounds.. Take 8 pounds times the fraction 2/4 which is also 1/2 and you get 4
Answer:
A.
Just plug in each point for the x and y and find which point is valid
Step-by-step explanation: