Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
I think c!
Because I got that on my homework and I got it right!!
given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.
(2,57) and (6,57)
When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.
Answer:
A = P (1 + i)^n A is the final amount
P is the initial amount
i = interest / period
n = number of periods
A = 315 * (1 + .015)^1.5 = 322.11
The center of the circle is (6,-3)
Hope this helped :)
