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:
The answer is terracing
Explanation:
Terracing here can be described as a process of carving or cutting out flat surface areas from slopes like hills, mountains for farming purposes. This helps to prevent soil erosion and flooding. It also helps to retain soil moisture.
Answer:
-by increasing awareness related to the effect of environmental pollution
-by providing education about environmental sanitation
- by increasing public participation in managing environmental pollution
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After time, sediments will build upon the dead organism and covering it, creating a fossil from sedimentary rock. Fossils do not form in igneous rock because igneous rock is made from magma and or lava, fossils can not be created in the hot temperatures of magma or lava.
Oblique-slip.
Faults that exhibit both dip-slip and strike slip movement are called oblique-slip faults.
Hope this helps!
