Answer: f(x) = 3x^2 + 1
g(x) = 1 - x
(f - g)(x) = 3x^2 + 1 - (1 - x) = 3x^2 + 1 - 1 + x = 3x^2 + x
(f - g)(2) = 3(2)^2 + 2 = 3(4) + 2 = 12 + 2 = 14.
Answer:
x = 10
Explanation:
Based on the theorem of angles formed by two intersecting chords, thus:
Angle formed/vertex angle = ½(sum of intercepted arcs)
Angle formed/vertex angle = 60°
Sum of intercepted arcs = 55 + 5x + 15 = 5x + 70
Therefore:
60 = ½(5x + 70)
Multiply both sides by 2
60*2 = 5x + 70
120 = 5x + 70
120 - 70 = 5x
50 = 5x
Divide both sides by 5
50/5 = x
10 = x
x = 10
Answer: The earth layers and atmospheric layers are distinctly different.
Explanation:
The earth layers are made up of solid matter whereas the atmospheric layers are made up of gases.
The earth layers provide the base for the survival of diversity of living beings whereas the atmospheric layers only allow microbes which can survive in extreme temperature conditions.
The stratospheric layer of the atmosphere protects the living beings from the harmful radiations striking on the surface of earth and they are capable of causing mutation whereas the lithosphere or any other surface layer of the earth also absorb thermal energy from sun but does not provide protection against harmful affects of ultraviolet radiations.
