If f(x) = -2x + 2, f(5) can be found by substituting in the value 5 for x in the equation:
f(5) = - 2(5) + 2
Our first step in simplifying this expression is to perform the multiplication as outlined by the order of operations (PEMDAS).
f(5) = -10 + 2
Finally, we must get our final answer by adding together the remaining terms.
f(5) = -8
Hope this helps!
The probability of rolling a 5 and rolling an odd number on a die is independent; rolling a 5 does not influence the probability of rolling an odd number the next time.
King or Jack is mutually exclusive; they cannot both happen at the same time.
Club or Queen is not mutually exclusive; they can happen at the same time.
King or Ace is mutually exclusive; they cannot both happen at the same time.
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
9/36 in the simplest form is 1/4