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If you write
, you'll notice this is really just a quadratic equation that can be factorized:
So you have
and
Answer:
16/48
Step-by-step explanation:
Answer:
The vertex would be (1, -7/10)
Step-by-step explanation:
In order to find the vertex, start by finding the x-coordinate. The x-coordinate can be calculated using -b/2a, in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(-2)/2(1)
2/2
1
Now that we know the value of the x-coordinate as 1, we can use it in the equation to find y.
y = x^2 - 2x + 3/10
y = (1)^2 - 2(1) + 3/10
y = 1 - 2 + 3/10
y = -7/10
Answer:
64 different black jack hands
Step-by-step explanation:
there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.
Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:
possibility of getting 1 ace = 4/52 = 1/13
possibility of getting 1 ten = 16/51
possibility of getting a blackjack = 16 / 663
if you start with the 10 first the odds are the same:
possibility of getting 1 ten = 16/52 = 4/13
possibility of getting 1 ace = 4/51
possibility of getting a blackjack = 16 / 663