Answer:
Step-by-step explanation:
win
There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.
There are 4 suits so the number of face cards is 3*4 = 12
There is 1 ace / suit
There are 4 suits so the number of aces is 1 * 4 = 4
The gain from the face cards = 12 * 13 = 156
The gain from the aces = 4 * 3 = 12
Total gain = 168
Losses
Any other card costs you $5
How many cards is that? 52 - 16 = 36
Each one costs 5 dollars
Total loss = 5 * 36 = 180
So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.
Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12
Answer:
TRUE
Step-by-step explanation:
GIVE ME BRAINLIEST
Answer:
Circle: sin²(theta) + cos²(theta) = 1
Ellipse: sin²(theta) + cos²(theta) = 1
Hyperbola: sinh²(theta) - cosh²(theta) = 1
Step-by-step explanation:
Circle
Cartesian form from polar form:
x = rcos(theta)
y = rsin(theta)
x² + y² = r²sin²(theta) + r²cos²(theta)
x² + y² = r²(sin²(theta) + cos²(theta))
Using sin² + cos² = 1, we get
x² + y² = r²
Ellipse
x = acos(theta)
y = bsin(theta)
cos(theta) = x/a
sin(theta) = y/b
x²/a² + y²/b² = sin²(theta) + cos²(theta)
x²/a² + y²/b² = 1
Hyperbola
x = rcosh(theta)
y = rsinh(theta)
x²/r² - y²/r² = sinh²(theta) - cosh²(theta)
x²/r² - y²/r² = 1
