How do I do this question? Find the area of the patio below
2 answers:
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Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer: Domain of function is or (0,
)
Step-by-step explanation:
Assuming x as width of rectangle
so, Width = x
Question says, Length is 5in more than 3 times id width.
we write as Length = 3x+5
Therefore, Area of rectangle will be given function f(x)
f(x) = x(3x+5)
Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.
we can write in equation as
Thus, Domain of function is or (0,
)