I think it is"A" hope it help
There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
1.
(Create a table then plot the points)
X | 0 | 1 | 2 | 3 |
-------------------------
Y | -1 | 3 | 7 | 11 |
4 (0) -1 => 0 - 1 = -1
4 (1) -1 => 4 - 1 = 3
4 (2) -1 => 8 - 1 = 7
4 (3) -1 => 12 - 1 = 11
Just apply the table method to the others and you should be fine! :)
Answer:
Step-by-step explanation:
