Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).
I think A since working backwards and looking for a pattern wouldn't help, maybe C but im not sure
Answer:
Domain: c)
Range: d)
Step-by-step explanation:
The domain means all of the possible x-values. To find the domain, find the leftmost and rightmost value of x. They are 0 and 8.5.
The range means all of the possible y-values. To find the range, find the lowest and higher values for y. They are 0 and 12.5.
"All numbers" means x or y can be any number, decimal decimal numbers. "Whole numbers" mean x or y can only be numbers that don't have decimals.
Both x and y can be decimal numbers because the graph is not broken up. If it could only be whole numbers, the graph would be dots.
Answer:
(x+y+z)=79
5x+2y+z=859
2x+3y+9z=498
Step-by-step explanation:
Its writing 3 different equations that have the same value for the same variable.
Answer:
I think you got it right
Step-by-step explanation:
can you help me Robert Frost's ability to write about the countryside using beautiful imagery was probably influenced by A his life on the farm in the Nem Hampshire countryside. B. his life in the city before he was married C. his keen imagination I need to know this answer
