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
Answer:
$69.98
Step-by-step explanation:
$39.99 + $29.99 = $69.98
Hello from MrBillDoesMath!
Answer: x = 1
Discussion
:
Per the author, the equation to solve is 12 = 5x + 7
Isolate the "x" variable by subtracting 7 from both sides of the equation:
12 = 5x + 7
-7 = -7
---------------------
12-7 = 5x + 0
or
5 = 5x
Dividing both sides by 5 gives x - 1
Regards, MrB
Answer:
E = 120
F = 60
G = 120
H = 60
Step-by-step explanation:
Answer: The answer is choice 3
Step-by-step explanation: