Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
Answer:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Step-by-step explanation:
Given function is:
3[|x-1|+2]
Can also be written as:
3|x-1|+6
As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.
Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.
Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.
Hence, the correct option is:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Hi,
The answer you are looking for is x= -3.
Have a great day!!
Answer:
Step-by-step explanation:
3 (5+1) divided by 3 to the second power = 2
8 divided by 4 times 2 = 4
7 + 2.4 = 9.4
i hope this helps god bless
Tax is 1.54
Including tax = 39.99
Excluding tax= 38.5
Hope this helps
