Answer:
The graph of the equation is shown in the picture attached below.
We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.
This means that for any value of the width greater than 12, the function cannot model the situation.
Making the equation only valid for
w ∈ [0,12]
Answer:
$1170
Step-by-step explanation:
Let the sells for economy seats be =x
Let the sells for deluxe seats be=y
The inequalities that can be obtained are;
x≥1 --------------------at least 1 economy seats
y≥6 --------------------at least 6 deluxe seats
x+y=30-----------------maximum number of passengers allowed on each boat
Graph the inequalities
Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs
The point is (24,6)
Hence, x=24 and y=6
Profit for each
Economy seats 24×$40=$960
Deluxe seats 6×$35=$210
Maximum profit for one tour
$960+$210=$1170
Answer:
B. 
Step-by-step explanation:
GIven that
and
, and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

The location of B is now determined after algebraic handling:


Then:




Which corresponds to option B.
Answer:
true
Step-by-step explanation:
Hello,
Here is the formula to find the area of the trapezoid:
A=1/2(b1+b2)×h
Where b1 represent big base
b2 represent small base
and h represent height
Now, we just need to replace the number to get the final answer:
A=1/2(16.8+6.9)×2
A=1/2(23.7)×2
A=23.7 square yards. As a result, the area of the trapezoid is 23.7 square yards. Hope it help!