Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
Answer:
x = - 5
Step-by-step explanation:
Given
- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side
- 8x + 32 = - 8 - 16x ( add 16x to both sides )
8x + 32 = - 8 ( subtract 32 from both sides )
8x = - 40 ( divide both sides by 8 )
x = - 5
Answer:
Step-by-step explanation:
7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply
7/8 * 2 = 14/8 = 1 3/4 <==
Answer: The first graph
Step-by-step explanation:
An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.
Answer:
I think the answer is "adjacent, supplementary".
