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
Explanation:
Except in the crust, the interior of the Earth cannot be studied by drilling holes to take samples. Instead, scientists map the interior by watching how seismic waves from earthquakes are bent, reflected, sped up, or delayed by the various layers.
The correct matches are:
- A. Tropical - On the Equator;
- B. Dry - Near the Equator;
- C. Moderate - Mildest weather;
- D. Continental - Severe temperature changes;
The climate types differ from one place to another on our planet, and in general they are separated in zones in accordance to the latitude at which they are.
The tropical climate is the one that lies on and around the Equator, and it is warm and wet for the whole year. Little north and south of the Equator we encounter the dry climates, where the landscape is occupied by deserts, with extremely high temperatures, and very little precipitation. Further north come the moderate climate types and the continental climate types, they are similar to each other, but the temperatures in the moderate climates have less variation, while in the continental ones it is much bigger, also the moderate ones have more precipitation, and the continental ones have less precipitation. They are both in the mid-latitudes.
Answer:
its acually
Tokyo-Yokohama
Tokyo-Yokohama continues to be the largest city in the world, with nearly 38 million residents, according to the just released Demographia World Urban Areas (12th Annual Edition)
The correct answers are:
- increased greenhouse gases;
The transportation system is one of the biggest emitters of greenhouse gases into the atmosphere, and this is due to the combustion of the fossil fuels, the end result being huge amounts of CO2 released in the air.
- increased pollution;
The energy sources used for the transportation systems are in general very damaging for the environment as they are letting out as a side product lots of pollutants.
- Easy movement of people, products, and ideas;
With the development of the transportation systems, the movement around the globe has become very easy and quick, and that has contributed to constant communication between people from all over the world, exchanging goods, ideas, technologies, as well as migration.
