Use the simplex method to solve.Maximize -4x + 5y subject to the following constraints.
Fill in the blank(s) with the appropriate word(s).
x = 0, y = 4, M = 20
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Each line contains the given points. Find the slope of each line to determine if the lines are parallel, perpendicular, or neither.L1: (-5, 3) and (11, 5)L2: (-4, 2) and (-3, 10)
A. parallel B. perpendicular C. neither
Add or subtract vertically.Add 5x9 + 3x8 + 7x7 + 6 and 4x9 + 5x8 + 4x7 + 7.
A. 28x48 + 13 B. 9x18 + 8x16 + 11x14 + 13 C. 9x9 + 8x8 + 11x7 + 13 D. 11x9 + 11x8 + 12x7 + 7
Sketch the graph and show all extrema, inflection points, and asymptotes where applicable.f(x) = 
A. Rel min: 
No inflection points
B. No extrema
Inflection point: (0, 0)
C. No extrema
Inflection point: (0, 0)
D. Rel max: 
No inflection points
The manufacturer of a medicine wants to test how a new 300-milligram capsule is released into the bloodstream. After a volunteer is given a capsule, blood samples are drawn every half-hour, and the number of milligrams of the drug in the bloodstream is calculated. The results obtained are as follows.
Time t
N(t)
(hr)
(mg)
0
0
0.5
246.5
1
266
1.5
236.9
2
178.1
2.5
115.9
Use the trapezoidal rule to approximate the average number of milligrams in the bloodstream during the first 
hours and round your answer to two decimal places.
?
A. 433.60 mg
B. 197.09 mg
C. 123.18 mg
D. 256.22 mg
E. 335.05 mg