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Identify the explicit function for the sequence in the table. x:1, 2, 3, 4, 5, y: 8, 14, 20, 26, 32,
zhuklara [117]
Answer:
The explicit function is y = 6x + 2
Explanation:
Since the change in x, Δx is constant and Δx = 1 and also, the change in y, Δy is constant and Δy = 6, we use the equation of a straight line in gradient form.
So, (y - y₁)/(x - x₁) = Δy/Δx where x₁ = 1 and y₁ = 8
So, substituting the values of the variables into the equation, we have
(y - y₁)/(x - x₁) = Δy/Δx
(y - 8)/(x - 1) = 6/1
(y - 8)/(x - 1) = 6
cross-multiplying, we have
(y - 8) = 6(x - 1)
expanding the brackets, we have
y - 8 = 6x - 6
adding 8 to both sides of the equation, we have
y - 8 + 8 = 6x - 6 + 8
y + 0 = 6x + 2
y = 6x + 2
So, the explicit function is y = 6x + 2
Answer:
The process whereby countries in a geographical area cooperate with one another to reduce barriers to the international flow of products,people or capital is called as regional economic integration.
Explanation:
Regional economic integration is defined as an agreement between groups of counties in a geographical region that reduces barriers to the flow of goods,services,factors etc.
In 1952, this type of agreement was occur between European and 15 different European countries and the main purpose of this was to eliminate the barriers and create flow of goods between European countries which in turn creates new opportunities and provide regional free trade agreement.
The levels of integrations are Free trade,Customs Union, Common Market,Political Union etc.
Culture Definition: The total knowledge, attitudes, and behaviors shared and passed on by the members of a specific group.
Answer:
Hinduism did not spread outside of its homeland in India.
Explanation:
Hinduism is one of the oldest religions in existence and it is also one of the major religions by having a very large number of followers. This religion is considered a national religion as well, and this is due to the fact that almost all of its followers live in one nation. Basically, this religion emerged in the Indian subcontinent and remained there.
Hinduism is the only polytheistic of the major religions. It came to be because of the mixing of the cultures and religious beliefs of the native Dravidians and migrating Aryans. By merging both religions, Hinduism arose and spread out all over the historic territory of India. With the rise of Islam, Hinduism lost some of its followers, mostly in what is now Pakistan and Bangladesh, while its followers remained almost exclusively in modern day India. Unlike the other major religions that managed to spread out of their cradles in one way or another, Hinduism did not.
