Which of the following statements is correct? A= 1/3 ÷ 4 = 12 B= 1/2 ÷ 4 = 1/8 C= 1/8 ÷ 6 = 3/4 D= 1/9 ÷ 2 = 1/81
1 answer:
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The initial length of the pine tree=5 feet.
Groth rate of pine tree =3 feet/year.
The initial length of the pine tree =10 feet.
Groth rate of the maple tree =2 feet/year.
After x years, the height of the pine tree= 5+3x feet and
after x years, the height of the maple tree= 10+2x feet.
The inequality for which, after x year, the pine tree is taller than the maple tree is
.
The inequality for which, the pine tree is at least as tall as the maple tree is .
.
Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and
after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.
The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is
The inequality for which, the pine tree is at least as tall as the maple tree is .
Answer:
A. -12
Step-by-step explanation:
A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...
f(0, -3) = 3·0 + 4(-3) = -12
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<em>Comment on the graph</em>
Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).
