Answer:
D) y = 2x + 4
Step-by-step explanation:
plug the slope and the x-and-y coordinates into the slope-intercept form of a line to get the y-intercept:
y = mx + b
2 = 2(-1) + b
2 = -2 + b
4 = b
y = 2x + 4
Answer:
Option D is correct
Step-by-step explanation:
When a cube with sides numbered 1 through 6 is rolled one time, the possible events are six i.e. getting {1,2,3,4,5,6} , with equal probability for each.
Of these, the events for which we get 4 or greater are {4,5,6} i.e. three events.
Hence probability of getting 4 or greater is
<h3>Hope it is helpful....</h3>
Explanation:
The rectangle can have the dimensions 2cm and 4cm.
The area of a rectangle is length times width. 2cm X 4cm = 8cm²
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
