consider the following argument: if pigs have wings, then pigs can fly. if pigs are lighter than air, then pigs can fly. pigs have wings or pigs are lighter than air. if pigs have wings or pigs can fly, then pigs don’t have wings. therefore, donkeys can fly.
(a) write this argument in symbolic form, using the variables listed below.
pigs can fly p
pigs are lighter than air q
pigs have wings r
donkeys can fly s
(b) determine whether the argument is valid or not. show your working.

a ) If r ⇒ p

    If q ⇒ p

    r ∪ q

    If r∪p ⇒ ¬ r

   ∴ s

b) The argument is invalid

Step-by-step explanation:

The argument is invalid because we do not with precision if b), because we do not have enough information about it, and this is because the previous sentences does not mention information about the donkey. We cannot infer something when we do not have enough information.

7

step-by-step explanation:

i'm assuming you need to figure out how many campers go into each tent.

i got the answer by:

24+4=28

28/4=7  

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1