Step-by-step explanation:
(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p
(p and not (q and p)) = (p and (not q or not p)) =
= (p and not q) or (p and not p) = (p and not q) or false =
= p and not q
so, we have in total
(q and p) or (p and not q) = (p and q) or (p and not q).
this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.
Answer:
700
Step-by-step explanation:
84 is 12% of what number
(84 x 100) / 12
Put that into a calculator and you get 700
Answer:
10.0000−11.0000i
Step-by-step explanation:
x=220+−484
=10+11i=10.0000+11.0000i
A.
Use technology to plot the graph.
Here it is using wolframalpha.com.
http://www.wolframalpha.com/input/?i=y+%3D+-5;+y+%3D+3x+-+2+for+-2%3C%3Dx%3C%3D2
B.
The solution is where the graphs of the lines intersect. It is at point (-1, -5).
C.
y = -5
y = 3x - 2
-5 = 3x - 2
3x = -3
x = -1
The solution is (-1, -5) which is the same as with the graph.
From the prime factorization of 49, we get 7*7. From 196, we get <span>2*2*7*7. From 343, we get 7*7*7. The greatest "overlap" or common factors are 7*7, or 49.</span>
Thus, the greatest common factor is 49.
