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:
$8,050 total
Step-by-step explanation:
notebooks: 13×400=5200
desktop: 19×150=2850
The inequality would look like this:
-2 (3x + 2)

-6x-4
To begin to find the solutions, distribute the -2 throughout the set of parenthesis on the left side of the inequality by multiplying the -2 by each term in the set of parenthesis
-2 x 3x = -6x
-2 x 2 = -4
-6x -4

-6x-4
Begin to isolate x by performing the opposite operation of adding -6x on both sides of the inequality
0x -4

-4
Next perform the opposite operation by adding 4 on both sides of the inequality
0x

0
Now, I'm not exactly understanding how that can possibly work. So, I guess I didn't really help you. But add a comment so that we can talk about the problem :)
slope formula: y2-y1/x2-x1