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:
d) Principle of Conservation of Matter
Explanation:
Principle of Conservation of Matter -
According to the law of conservation of matter, matter is the substance which ac not be created and even it can not be destroyed , hence we need to have the same number of atoms before and after the reaction constant during a chemical change or process of chemical as were number of atoms and type of atoms present before the chemical change .
Hence , from the options , the correct answer is the Principle of Conservation of Matter .
India and Pakistan used to be one country up until 1947 - when the Partition of India happened.
Ever since then their relationship has been very problematic - Kashmir is disputed between the two nations, and their relationship can be described as competition (for example they both have nuclear arms and had a kind of unofficial competition over who has more ).
Goods are usually carried on large barges that go through the Volga river, Russia's most valueable geographical asset due to its large extent from East to West.
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