If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 
and 
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length
Answer:
Step-by-step explanation:
<u>Let's simplify this further to get our answer.</u>
- -5/6(12 - 6x + 18y)
- => -60/6 + 30x/6 - 90y/6
- => -10 + 5x - 15y
Looking at the options, we can say that Option C and B are correct.
Answer:
8x+24
dimensions of the photograph
length - 7 inch
width - 5 inch
dimensions of the photo frame is 2x larger than both width and length
length - 7 + 2x
width - 5 + 2x
the perimeter is sum of all 4 sides
Perimeter = 2(7 + 2x) + 2(5 + 2x)
= 14 + 4x + 10 +4x
= 24 + 8x
correct answer is 8x+24
54 216
First look at the difference of the items sold between the 2 people. Clearly Lizzie sold 9 more boxes of peaches and earned 162 more dollars. We can solve and get that each box of peaches are worth 18 dollars. Then use what we found out --> 4 boxes of apples+1 boxes of peaches = 54 dollars. so 4 boxes of apples are worth 54-18=36 dollars. and thus each box of apples are worth 9 dollars.
Answer: each box of apples are wroth 9 dollars and each box of peaches are wroth 18 dollars. Done!
It is approximately 1830.
M=1000
D=500
C=100
X=10
