Answer:
Solution : y = ± 1/3x
Step-by-step explanation:
Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.
To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)
a² = 9
a = 3
b² = 81
b = 9
Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.
Answer:
-8
Step-by-step explanation:
You are given the following table representing the function f(x):
This means
Hence,
f(5)=-8
-5x^4(-3x^2 + 4x -2)
Multiply the number on the outside by each number inside the parentheses:
-5x^4 x -3x^2 = 15x^6
-5x^4 x 4x = -20x^5
-5x^4 x -2 = 10x^4
Now combine them in order of exponents:
15x^6 - 20x^5 + 10x^4
