Evaluate the function. F(x)=3/x-1/. F(-3)
1 answer:
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Answer:
The dimensions of the fort in the drawing is 7 in by 5.5 in
Step-by-step explanation:
A scale can be used to either increase or decrease the size of a given object.
From the question, Brennan used a scale of 3 feet to 1 inch.
scale =
The dimensions of the fort are 21 ft by 16.5 ft. Thus, to determine the dimensions of the drawing;
=
y =
= 7 in
Also,
=
z =
= 5.5 in
Dimensions = y by z = 7 in by 5.5 in
Therefore, the dimensions of the fort in the drawing is 7 in by 5.5 in.
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
28
Therefore, the number of trees per acre to maximize the harvest is 28