The creation of the European Union has had all of the following effects except __________. A. increased trade between countries B. increased immigration to member countries C. increased migration between member countries D. increased passport security at internal borders
The creation of the European Union has had all of the following effects except increased passport security at internal borders.
Identify the explicit function for the sequence in the table. x:1, 2, 3, 4, 5, y: 8, 14, 20, 26, 32,
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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: 4
2x2 is 4 and that is the same thing as 2+2.
