Marty can go to the one movie on either Friday or Saturday. His choice of movies includes a comedy or an action movie. Which list shows all of the possible outcomes of one movie on one day

Step-by-step explanation:

Here, the total number of movie choices  = 2 (Comedy or Action)

The total number of available day's  choices  = 2 (Friday Saturday)

So, from the given data we can see:

The total choice for movies on Friday are 2.

So, the list of options are: ( Friday, Comedy) and (Friday, Action)   (1)

Similarly, the total choice for moves on Saturday are 2.

So, the list of options are: ( Saturday, Comedy) and ( Saturday, Action)  ..(2)

Now, by comparing both equations, we can see there is a total of FOUR possible outcomes of one movie per day.

Hence. the list of total of four possible outcomes of one movie per day is ;

( Friday, Comedy) , (Friday, Action) ,( Saturday, Comedy) ,( Saturday, Action)

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.