Answer:
As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5
Step-by-step explanation:
Given function:

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at
(where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.

This is because as
the -7 of the numerator and the +8 of the denominator become negligible. Therefore, we are left with:

Therefore:


Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = 
Here,
and

Therefore, distance, d = 



= 10 units.
Hence, the answer.
Okay so the problem starts you off with the fraction (1/4). Sharing equally among 3 people would mean that you'd want to divide it by three so your equation would initially look like (1/4) / 3. Having two dividing signs is confusing so what you do is change the dividing into multiplying by the reciprocal of 3 = 1/3... This would make your expression (1/4) * (1/3) and when you simplify this you should get 1/12 as the answer.
Answer:
x = -4 ± 2√3
Step-by-step explanation: