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
Just do 189-136 it is 53 dollars he needs to earn
Step-by-step explanation:
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Hello!

Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.