I can't conveniently copy the logical symbols you use, so I write
AND = ∧ (conjunction)
OR = ∨ (disjunction)
NOT = ¬
Tautologically,
p = (p AND q) OR (p AND NOT q)
and we can distribute the OR to get the equivalent statement
(p OR (p AND NOT q)) AND (q OR (p AND NOT q))
and again to get
((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))
Now, q OR NOT q is always true, and p OR p is simply p, so we have
p = p AND (p OR q) AND (p OR NOT q)
This shows that p OR NOT q is already included in p, so our initial statement is simply
p AND (NOT p OR NOT q)
Distributing the conjunction, we get
(p AND NOT p) OR (p AND NOT q)
p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to
p AND NOT q
Answer:
-0.2
Step-by-step explanation:
Simplifying
5x = 3y + -4
Reorder the terms:
5x = -4 + 3y
Solving
5x = -4 + 3y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = -0.8 + 0.6y
Simplifying
x = -0.8 + 0.6y
Answer:
Amir's car will cost £10348.88 after 23 years.
Step-by-step explanation:
I finally found a UK human!
This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.
The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.
16470 ×
= £10348.88
I hope that helps you!! ^-^
Answer:
#1- 7x*2=14x, the rest = 7x
Step-by-step explanation:
Answer:
Here you go.
STAY SAFE, GOD BLESS YOU :)