Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?

Proved

Step-by-step explanation:

The given data is:

not

Required

Prove by induction that it is divisible by 5

Assume

So, we have:

where p is a positive digit

Rewrite as:

To solve further, we have to prove that is true for

So, we have:

Add 0

Replace 0 with

Factorize

Substitute

Factorize

Factorize

The 5 outside the bracket implies that it is divisible by 5

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: