Find X 5x A) 11 C) 2 B) -1 D) -2
2 answers:
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Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices is given by the determinant of the following matrix:
In this question:
Vertices (3,0) (9,0) (7,6). So
The area of the triangle is of 21 units of area.
Answer:
2.73 million people per year
Step-by-step explanation:
Turn sentences into coordinates/points:
In 2000, 281.4 million people
- (x₁, y₁) = (2000, 281.4)
In 2010, 308.7 million people
- (x₂, y₂) = (2010, 308.7)
Rate of population per year:
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
