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
Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
Answer:
Step-by-step explanation:
Be careful how you handle this.
f(-7) = 3(-7)^2
f(-7) = 3* 49 Notice the minus sign disappears. That's because there are 2 of them.
f(-7) = 147
Answer:
84 feet
Step-by-step explanation:
-16(1.5)^2+120=84
Answer:
x = 2
Step-by-step explanation:
