Answer:
x=-5/8, y=15/2, z=-10. (-5/8, 15/2, -10).
Step-by-step explanation:
4x-7y=5
8x+3z=-35
6y+3z=15
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4x=7y+5
2(4x)=2(7y+5)
8x=14y+10
14y+10+3z=-35
14y+3z=-35-10
14y+3z=-45
-----------------------
14y+3z=-45
6y+3z=15
------------------
14y+3z=-45
-(6y+3z)=-15
---------------------
14y+3z=-45
-6y-3z=-15
--------------------
8y=-60
simplify,
y=15/2
6(15/2)+3z=15
45+3z=15
3z=15-45
3z=-30
z=-30/3
z=-10
8x+3(-10)=-35
8x-30=-35
8x=-35+30
8x=-5
x=-5/8
x=-5/8, y=15/2, z=-10.
In this problem, given the focus at (2,4) and directrix at y = 8. then it is implied that the parabola is facing downwards. The vertex hence is at the middle of the focus and the directrix, hence at (2, 6). The general formula of the parabola is y-k = -4a ( x-h)^2. Substituting, y -6 = -1/8 *(x-2)^2. Answer is A.
3 + 4x - 3x = 4 is given
3 + x = 4 is combine like terms (4x and -3x were combined to 1x)
x = 1 is subtraction property of equality (3 was subtracted from both sides of the equation)
Standard Error = standard deviation/sqrt(sample size) = 6/sqrt(50) = 6/7.071 = 0.85
B) 6000 mL is the answer for 6000 mL in Liters
