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Vesna [10]
4 years ago
11

I need help with this question.

Mathematics
1 answer:
Marina CMI [18]4 years ago
5 0
The region describes a rectangle. F(x,y) is optimized at the intersecting points around the rectangle.
You can try plugging in (-3,-5) , (-3,4), (4,4) , (4,-5) and see which one gives you the largest value.

The max value of f(x,y) is at point (4,-5)
---> 4(4) - 7(-5) = 16 + 35 = 51
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sammy [17]

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Step-by-step explanation:

y = x^2 - x - 2 is a quadratic function.  It's easily factorable:  y = (x + 1)(x - 2).  Setting this result equal to zero yields the x-intercepts:  -1 and 2.  This matches the x-intercepts shown on the graph.

The axis of symmetry,  x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2.  This x = 1/2 is also the x-coordinate of the vertex.  To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:

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Step-by-step explanation:

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