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
The correct answer is A. Putting a strict time limit on her studying
Explanation:
The main problem of Shauna is that she does not know when to stop studying; this implies, Shauna has problems in finding a limit which can cause Shauna only spends time studying but has no time for other responsibilities or leisure. In the same way, this type of behavior can lead to addiction to studying and later addiction to working which would affect negatively her life. Due to this, she must set a specific limit to study, in this way she can still study and achieve her goals but also know where to stop and spend time in other actives. Therefore, what would help Shauna to solve this problem is "putting a strict time limit on her studying".
As a terrestrial planet with a thick nitrogen-oxygen atmosphere, Earth's appearance comes down to the light-scattering effect of our planet's atmosphere and our oceans, which causes blue light to scatter more than other colors because of the shortness of its wavelength.
Answer:
Solar flares
Explanation:
The solar flares occur suddenly on the surface of the Sun. They can last for only few minutes, or for few hours, depending on their intensity.
Basically, the solar flares are large eruptions o electromagnetic energy on the surface of the Sun, looking like spots from Earth's perspective. These eruptions on the Sun can be smaller and larger, and they travel with the speed of light, so the closer space objects, Earth included, feel the effect instantly once they appear. A large solar flare can actually be very dangerous, as it has the potential to destroy everything electrical on Earth, getting back the human kind back several centuries in a second.
Nails are generally made of metal, which make for excellent conductors.
Heaven forbid if you try to protect yourself from heat or electricity with metal...
