Answer:
Step-by-step explanation:
So first thing is that slope intercept form is setup like this
y=mx+b
m=slope
b=y intercept
the slope is change in y over change in x
as y goes down 2 x goes up 5
so the slope is -2/5
the y intercept is at (0,-1) so the y intercept is -1
therefore the answer is
have a great day :)
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
#SPJ1
Answer:
hi I was wondering if I could come in
Answer:
10.315
Step-by-step explanation:
