Answer:
%
Step-by-step explanation:
in total.
, 24 students trying out.
24 of 40 as a percent
Answer:
Step-by-step explanation:
s=7+x
There are no feasible solutions for minimum and maximum values for the function z = 2x + 4y that follow the given constraints.
- The given constraints are.
- 4x + y ≤ 40
- 20x +y ≥72
- 4x + 5y ≥ 72
- We change these inequalities to equations.
- 4x + y = 40
- 20x +y =72
- 4x + 5y = 72.
- Now we find the points which satisfy the equation when x is 0 and when y is 0. We do this for every equation.
- (0, 40) and (10, 0) satisfy the first equation.
- (0, 72) and (3.6, 0) satisfy the second equation.
- (0, 14.4) and (18, 0) satisfy the third equation.
- Now we plot these equations on the graph.
- Now we shade the regions that belong to the corresponding inequalities.
- The common region contains our feasible solution.
- But here we have no common region for all three inequalities.
- So, there are no feasible solutions.
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The slope would be calculated as m = (y2 -y1)/(x2-x1)
So plugging in it would be m = (10- (-4))/(6-2) = 3.5
Then plugging into point slope form which is y - y1 = m(x - x1)
You would get y - 10 = 3.5(x-6) which simplifies is
Y = 3.5x -11
Answer:
DP = 9/5
Step-by-step explanation:
DP + PE = DE
DP: x
PE: 4x + 7
DE: 10x - 2
x + 4x + 7 = 10x - 2
5x + 7 = 10x - 2
-5x = -9
x = 9/5
DP: 9/5
PE: 4(9/5) + 7
DE: 10(9/5) - 2
Check:
9/5 + 4(9/5) + 7 = 10(9/5) - 2
1.8 + 7.2 + 7 = 18 - 2
16 = 16