Recall that a ⇒ b ≡ ¬a ∨ b.
• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)
In row C, q is false so p ∧ q false, and r is true so ¬r is false.
¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false
• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r
In each of rows A, C, and E, at least one of p or q is true, so
p ∨ q ∨ ¬r = true
• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r
In row E, p is false and both q and r are true, so ¬q and ¬r are both false.
false ∨ false ∨ false = false
• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p
In row E, p is false and both q and r are true, so both ¬q and ¬r are false.
(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false
ANSWER
The correct answer is option B
EXPLANATION
The equations are
and
When we multiply the second equation by 
, we obtain;
When we combine this new equation with equation (1).
We can see that 
has been eliminated from the equation.
We can then, solve for 
and then substitute the result in to any of the equations to find .
Hence the correct answer is option B
Slope: 4.5
Y= 4.5x + 5
Extra:
Y intercept would be (0,5)
First to solve this problem you need to identify a variable to write the inequality.
Let
x = number of points that Carter scores.
The inequality can then be written as:
x> 100
answer:
an inequality to show how may points Carter needs to earn is
x> 100
Answer:
610 meters is the total distance
Step-by-step explanation:
