Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
Graph using slope and the y intercept
So y=x+5
You would plot the y intercept (0,5) and then go up 1 and to the right 1
The next graph plot y intercept (0,-1) and then go down 2 and to the right 1
And should look like the image
And your solution should be (-2,3) which is option c
Answer: 21
Step-by-step explanation:25%=1/4
1/4*84 =84/4
84/4=21
84 cents a pound divide 2 1/4 by 1.89 equals 0.84