Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
<span>5(-4) + 2y = -20
-20 + 2y = -20
2y = -20 + 20
2y = 0
y = 0</span>
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True 
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False 
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False 
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True 
: False
This point does not lie in the solution region.
Answer:
There will be 8 cats in each group.
Step-by-step explanation:
You do 24 divided by 3, which is 8. So, there will be 8 cats in each group.
Answer :
Step-by-step explanation :
To find the product of
First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence
we now apply the law of indices
meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain
