Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
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:
35=0.5x+20
Step-by-step explanation:
y=mx+b
35= money you can spend
0.5= cost of each ride
x=number of rides you ride
20= price to enter
He will need to save up for 12 weeks because he is getting 2 dollars a week.
It says after 3 weeks he saved 6, so divide six by three and the answer meaning he makes 2 a week. Next divide 24 by 2 and you get 12.
Area of triangles: 1/2 x b x h
area of square: l x w
Triangle
1/2 x 7 x 4= 14, but there are 3 of them so 42
Square: 7 x7 = 49
49 + 42 = 91
