Answer:
3/14
Step-by-step explanation:
P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.
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1,2,3,4,6,8,12,24
1x24
2x12
3x8
4x6
Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
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(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Answer: the height would be 15
Step-by-step explanation:
v= pi*radius^2*height
1215pi mm= pi*9^2*height
1215pi mm= pi*81*height
(divide by pi on both sides, which isolates pi on both sides)
1215 mm= 81*height
(divide by 81 on both sides, which would isolate 81 on the right side of the equation)
1215/81= 15= height
|r+3| = (r+3) when r ≥ -3 so for r ≥ -3
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3) when r < -3 so for r < -3
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
The answer to this question is r ≤ -10, r ≥ 4