Answer:
so for what I'm thinking is 2*5 for the amount of hours in a school week and then you get 10 then times that by 15 for the amount of weeks in a semester which is 150 then times that by 3 and you get 450 thats the simple way so if you are also studying over the weekend it would be 630 of a entire year
Step-by-step explanation in the answer
In the Figure below is shown the graph of this function. We have the following function:
The 
occurs when 
, so:
Therefore, the is the given by the point:
From the figure we have three 
:
So, the occur when 
. Thus, proving this:
Answer:
D=5
Step-by-step explanation:
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
------------------
Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
------------------
In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
------------------
Final Answer: 39
The Associative Property say that it doesn't matter how we group the numbers (i.e. which we calculate first) when we add
(a + b) + c = a + (b + c)
The Commutative Property say we can swap numbers over and still get the same answer when we add
a + b = b + a
The Distributive Property:
a(b + c) = ab + ac
------------------------------------------
-3a + 4b + 5a + (-7b) = -3a + 5a + 4b + (-7b)
<h3>Answer: the commutative property</h3>
