Answer: -2/7
|3x - 2| - 4x = 4
1) (3х - 2) - 4х = 4, if 3x - 2 >= 0
2) -(3x - 2) - 4x = 4, if 3x - 2 < 0
1)
3х - 4х = 4 + 2
-x = 6
x = -6
3х - 2 >= 0
3х >= 2
x >= 2/3 - wrong
2)
-3х + 2 - 4х = 4
-7х = 2
x = -2/7
3x-2<0
3x<2
3(-2/7)<2-right
Step-by-step explanation: graph both equations where they intersect is the answer write it like this (x,y) the x and the y should be replaced with the numbers you'll get when they intersect. So if they intersected the point where they did if the y is 1 and x is 2 then the answer is (2,1). If they don't intersect at all and are parallel then it is no solution. If your only graphing one line which you aren't in this case but if you were it would be infinitely many.
It would be 30 degrees since a line is 180. You subtract 150 from 180 and get 30.
The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
