Answer:
-3
Step-by-step explanation:
Select a point on the red line that crosses the graph at a corner like point (2,2). Start at the middle of the graph and go 2 spaces to the right on the x axis and then 2 spaces up. Now you will be a the point (2,2). Do you see how the right line is hitting at the top left corner of the square?
From this point, count how many spaces up and how many spaces to the left to get to the next spot that the red line touches a corner. If you go up 3 spaces and left 1, you have found the next corner. The slope is -3/1 or -3.
The slope is negative because the x and y's are going in different directions, as the x is getting bigger, the why is getting smaller, or another way of looking at it, is that I went up to the find slope and up is positive, but then I went left 1 and left is toward the negative numbers. A positive divided by a negative is a negative, so the slope is negative.
Answer:
x = 59.4 ft
y = 84.18ft
Step-by-step explanation:
The cost of exterior walls is $150 per linear foot.
The cost of interior walls is $100 per linear foot.
xy = 5000
y = 5000/x
For the exterior walls, we have 2(x+y)(120)
For the interior wall, we have 100x
The cost function = C
C = 2(x+y)(120) + 100x
C= 240(x+y) + 100x
= 240x + 240y + 100x
= 340x + 240y
Recall that y = 5000/x
C = 340x + 240(5000/x)
C = 340x + 1200000/x
Differentiate C with respect to x
C'(x) = 340 - 1200000/x^2
= (340x^2 -1200000) / x^2
To minimize cost C'(x) = 0
(340x^2 -1200000) / x^2 = 0
340x^2 -1200000 = 0
340x^2 = 1200000
x^2 = 1200000/340
x = √1200000/340
x = 59.4 ft
Recall that y = 5000/x
y = 5000/59.4
y = 84.18 ft
You are correct for part A, good job! :D
As for part B, I <em>believe</em> the answers are function, nonlinear, and discrete.
Please let me know if I was wrong at any time. I hope this helps!!
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.
