Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Answer:
The area of the figure is 6.8 in
<span>After 1 hour, the diving bell was -1/2 mile relative to sea level.
Since the rate of decent is constant, we can use two ratios to represent the depth at 2 different times. To make things easier to write, I'll use decimals to represent time and depth.
-.75 / 1.5 = x / 1
Now solve for x
-0.5 = x
So after 1 hour, the diving bell was -1/2 mile relative to sea level.</span>
Answer: Decolonization as a result of World War II.
Step-by-step explanation:
- With the end of World War II, the process of decolonization of the African and Asian continents began. It is the result of the destruction brought with it by World War II, but also by the liberalization that took place in Europe after World War II. In this context, it isn't effortless to point out the particular methods used by nations on these two continents. Decolonization is, however, an independent will and intervention of European countries.
- Yet the colonization of nations was not entirely passive in terms of resistance to the European invaders. There were several uprisings against the colonists. However, what characterizes both fights for independence is the emergence of nationalism. This is the pattern that African and Asian countries have taken over from Europeans. The form of resistance also consisted in the fact that there was a specific political will on the part of certain domestic elites, as in the case of the West African National Congress or the South African National Congress.
- A particular form of struggle for independence existed in India. This Asian country led its effort by methods of civil disobedience, non-payment of taxes, and refusal to work. The creator of this form of struggle was the leader of the Indian independence movement Mahatma Gandhi. An example of diminishing "third country" influence was an international intervention. Such an example is evident in Korea, where the United States and the Soviet Union eliminated Japanese colonial pretensions by their impact.
