Alex surveyed his classmates to determine who has been surfing and who has gone snowboarding let a be the event that a classmate
1 answer:
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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:
The given expression is equivalent to -x
That is
Now Verified that the two expressions are equivalent
Step-by-step explanation:
Given that Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x
It can be written as below :
Now we can verify the expression is equivalent or not :
Taking LHS
( by using the distributive property )
( adding the like terms )
=RHS
Therefore LHS=RHS
Therefore the given expression is equivalent to -x
That is
Now Verified that the two expressions are equivalent