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).
Answer:
6
Step-by-step explanation:
Given expression:
a varies directly as b;
a ∝ b
So;
a = kb where k is the constant of proportionality;
if a= 7 and b = 2;
7 = 2k
k =
Now, find b when a = 21
21 =
x b
b = 6
Answer:
(-3, 9)
Step-by-step explanation:
If a point was reflected across the y-axis, then the y-coordinate would change signs (from negative to positive or from positive to negative). Using this, we could find the original point by changing the sign of the y-coordinate. As you may already see, this is really just reflecting the point across the y-axis again. By doing this, you get the point (-3, 9).
The point would be (-3, 9).
I hope this helps. :)