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
Answer:
his package weighs 30 ounce
Step-by-step explanation:
Answer:
C) never
Step-by-step explanation:
It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.
There will be an infinite number of solutions. There will never be no solution.
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<u>Example</u>:
x + y = 4
-x -y +4 = 0
Adding the two equations gives ...
(x +y) +(-x -y +4) = (4) + (0)
4 = 4
The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.
