Do you mind if I re-arrange it slightly before we solve it ?
You said 20x + 3.00y ≥ 500
Subtract 20x
from each side: 3.00 y ≥ -20x + 500
Divide each side by 3 : y ≥ -20/3 x + 500/3
Make it an equation,
and graph this line: y = -20/3 x + 500/3
The line is made out of all points where 'y' is EQUAL to
1/3 of (-20x + 500).
The inequality wants to see all the points that are equal to it
AND all the points that are greater than that.
So the graph of the inequality is the line AND every point that's
anywhere above the line. It's called the "half-infinite plane"
bounded by the line.
Answer:
5x+4
Step-by-step explanation:
4x+3x+4-2x
Combine like terms
4x+3x-2x +4
5x +4
,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
Answer:
x=10/3=3.333 or = - 10/3=-3.333
Step-by-step explanation:
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
