Step-by-step explanation:
There are 52 cards in a standard deck.
a) There are four 5s (one for each suit), so the probability is 4/52 or 1/13.
b) There are twelve face cards (three for each suit), so the probability is 12/52 or 3/13.
c) There are 40 non-face cards, so the probability is 40/52 or 10/13.
Answer:
B
Step-by-step explanation:
given the 2 equations
y - 4x = 12 → (1)
2 - y = 2(x + 2)² → (2)
rearrange (1) expressing y in terms of x
y = 12 + 4x
Simplify (2) by expanding factor and substituting y = 12 + 4x
2 - (12 + 4x) = 2(x² + 4x + 4)
2 - 12 - 4x = 2x² + 8x + 8
- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form
add 10 + 4x to both sides
2x² + 12x + 18 = 0 ← in standard form
divide through by 2
x² + 6x + 9 = 0
(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3
Point of intersection = (- 3, 0 ) → B
Answer:
<h2>40</h2>
Step-by-step explanation:
You must multiply all prime factors:
2 · 2 · 2 · 5 = 40
number = P
<span>Multiply the sum of a number and 3= P + 3 x ?
by the difference of 8 and a number = (P + 3) x (8 - p)
Answer = D</span>
