Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
i’m not from kentucky but it’s A
lmk if you need me to explain
(2x-3y) (4x-y)
Multiply the polynomials using distributive property.
(a+b)(c+d) = ac+ad + bc + bd
(2x-3y) (4x-y) = (2x) (4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
Apply plus/minus rule.
-(-a)=a and -(a)=-a
we get
=8x²-2xy-12xy+3y²
Add like terms
=8x²-14xy+3y²
Answer: 8x² - 14xy + 3y²
750 yards in 25 minutes
Divide both numbers by 25
<span>30 yards in 1 minute</span>
Answer:
5456 sq. inches
Step-by-step explanation:
Let width = w,
Then length = w + 26
Perimeter = 2[length + width]
2[(w +26) + w] = 2[2w + 26] = 4w + 52
Perimeter given is 300
So, 4w + 52 = 300
4w = 248
w = 248/4 =62
length = 62 + 26 = 88
Area = length × width
Area = 88 × 62 = 5456 sq. inches
