Answer:
The maximum value of P is 34 and the minimum value of P is 0
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Solve the feasible region by graphing
Using a graphing tool
The vertices of the feasible region are
(0,0),(0,5.33),(2,4),(6,0)
see the attached figure
To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results
we have

For (0,0) ----> 
For (0,5.33) ----> 
For (2,4) ----> 
For (6,0) ----> 
therefore
The maximum value of P is 34 and the minimum value of P is 0
Depends on what kind of music...... Well they are themselves, and Alice is herself, even if they could get good grades by doing homework while listening to music doesnt mean she could
Because is likely that the first outcome affected the second one, we can conclude that the events are dependent.
<h3>
When two events are independent?</h3>
Two events are independent if the outcome of one can't affect the outcome of the other.
Here, first, she chooses a blue marker from one box and then a yellow one from another, these are the two events.
Now, these are independent or dependent?.
Well, the fact that she chooses a blue marker first, means that she probably would not want to choose another blue marker for the second one. So yes, the first outcome does affect the second outcome, meaning that the events are dependent.
If you want to learn more about dependent and independent events, you can read:
brainly.com/question/1757299
Answer:
a). Max will have to pay $4,238.50
b).He can deduct $392
c). Max will pay $3,814.65 with discount and sales tax
Answer:

Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.