64%, because 40% of 60% is 24%, and 2 mg of pure copper is 40% of the overall alloy, so add 24 and 40
Answer:
x2 +8x +4y +4 = 0
4y= -x2 -8x -4y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)*
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a
a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.
A. 4/10
B. x+4/x+10
C. x+10
The ratio is the relation between numbers. 40/100 is simplified to 4/10 (40%)
Solve for h: (I'm using the completing the square)
(x - 1) (x + 5) = K + (x - h)^2
(x - 1) (x + 5) = K + (x - h)^2 is equivalent to K + (x - h)^2 = (x - 1) (x + 5):
K + (x - h)^2 = (x - 1) (x + 5)
Subtract K from both sides:
(x - h)^2 = (x - 1) (x + 5) - K
Take the square root of both sides:
x - h = sqrt((x - 1) (x + 5) - K) or x - h = -sqrt((x - 1) (x + 5) - K)
Subtract x from both sides:
-h = sqrt((x - 1) (x + 5) - K) - x or x - h = -sqrt((x - 1) (x + 5) - K)
Multiply both sides by -1:
h = x - sqrt((x - 1) (x + 5) - K) or x - h = -sqrt((x - 1) (x + 5) - K)
Subtract x from both sides:
h = x - sqrt((x - 1) (x + 5) - K) or -h = -x - sqrt((x - 1) (x + 5) - K)
Multiply both sides by -1:
Answer: h = x - sqrt((x - 1) (x + 5) - K) or h = x + sqrt((x - 1) (x + 5) - K)
Solve for h: using the quadratic formula)
(x - 1) (x + 5) = K + (x - h)^2
(x - 1) (x + 5) = K + (x - h)^2 is equivalent to K + (x - h)^2 = (x - 1) (x + 5):
K + (x - h)^2 = (x - 1) (x + 5)
Expand out terms of the left hand side:
h^2 + K - 2 h x + x^2 = (x - 1) (x + 5)
Subtract (x - 1) (x + 5) from both sides:
h^2 + K - 2 h x + x^2 - (x - 1) (x + 5) = 0
h = (2 x ± sqrt(4 x^2 - 4 (K + x^2 - (x - 1) (x + 5))))/2:
<span>Answer: h = x + sqrt(-5 - K + 4 x + x^2) or h = x - sqrt(-5 - K + 4 x + x^2)</span>
4/52, or 1/13, or 8 percent(not very accurate or precise). You take the number of queens in a deck(4) and put it over the total number of cards in a deck(52). This gives you a probability of 1 in 13 or about 8 percent
