A ternary string is a string made up of 0's, 1's. and 2's. A) How many ternary strings of length 4 are there?=

B) How many ternary strings of length 4 start with a 1?
Number of 4 digit ternary strings starting with 1 =

C)How many ternary strings of length 4 start with a 1 *and* end with a 1?
Number of 4 digit ternary strings starting and ending with 1=

D) How many ternary strings of length 4 start with a 1 *or* end with a 1?
Number of 4 digit ternary strings starting or ending with with 1 =

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

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:

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)