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).
Format: y = mx + b
y = 2x + b
Plug in the point
-1 = 2(5) + b
-1 = 10 + b, b = -11
Answer: y = 2x - 11
Ok so first off you need to get rid of the clauses in the equation.
So 4.5 ( -4) becomes -18 and -2.5(3+28) becomes -77.5
-18 + 36 = 202 - 77.5
Now you are going to solve the equation.
18 = 122.5
Hope this helped ;),
Casey
Answer:
x = 45/17
Step-by-step explanation:
We can move all x to 1 side and all the numbers to another. You can add 8.7 on both sides and get that 2.3x = 0.8x + 4.5. Next, we subtract by 0.8x on both sides to get that 1.7x = 4.5, where we can then divide by 17/10 on both sides to get that x is equal to 45/10 * 10/17, so that means that x = 45/17.
A common tangent is a line that happens to be tangent ("touching but not intersecting a curve or curved surface") to two different coplanar ("in the same plane) circles. I do hope that helped you.
