There are a total of 208 cards. For every one card Tony has, Duane has 12, which means that there are 13 cards in each "set." If you divide the total number of cards (208) by 13, you get 16 "sets." So out of the total 208 cards, Tony has 16 cards and Duane has 12 times 16 or 192 cards.
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).
5/6 = 50 minutes 3/4 = 45 minutes 1/2 = 30 minutes 50 minutes for 3 days could be drawn out as 50 times 3 which is 150 minutes 45 times 2 =90 minutes 30 times 4 = 120 minutes. 120 + 150 + 90 = 360 360 divided by 60 = 6 6hrs micheala worked.
The value of a can be obtained by substituting 1 to the
equation and equating p(1) = 0.
<span> p(x) = x2a - 3xa + 3x2 -1 </span>
<span>p(1) = a - 3a +3 -1 = 0</span>
<span>therefore a =1</span>
the equation now becomes p(x) = x2 - 3x + 3x2 -1