Answer:
1)0.1
2)0.05
3)1.65
4)1.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
(6,3) m = 1/2
b = y - (m)(x)
b = -3 - (1/2)(6)
b = -3 - 3
b = -6
y = 1/2x - 6
Let f(x) = p(x)/q(x), where p and q are polynomials and reduced to lowest terms. (If p and q have a common factor, then they contribute removable discontinuities ('holes').)
Write this in cases:
(i) If deg p(x) ≤ deg q(x), then f(x) is a proper rational function, and lim(x→ ±∞) f(x) = constant.
If deg p(x) < deg q(x), then these limits equal 0, thus yielding the horizontal asymptote y = 0.
If deg p(x) = deg q(x), then these limits equal a/b, where a and b are the leading coefficients of p(x) and q(x), respectively. Hence, we have the horizontal asymptote y = a/b.
Note that there are no obliques asymptotes in this case. ------------- (ii) If deg p(x) > deg q(x), then f(x) is an improper rational function.
By long division, we can write f(x) = g(x) + r(x)/q(x), where g(x) and r(x) are polynomials and deg r(x) < deg q(x).
As in (i), note that lim(x→ ±∞) [f(x) - g(x)] = lim(x→ ±∞) r(x)/q(x) = 0. Hence, y = g(x) is an asymptote. (In particular, if deg g(x) = 1, then this is an oblique asymptote.)
This time, note that there are no horizontal asymptotes. ------------------ In summary, the degrees of p(x) and q(x) control which kind of asymptote we have.
I hope this helps!
Answer:
(a) 
(c) 
Step-by-step explanation:
(a) To find verify the answer we need to multiplying the equation 
Thus, this statement is true.
(b) To find verify the answer we need to multiplying the equation 
Hence, the given statement is false.
(c) To find verify the answer we need to multiplying the equation 
Hence, the given statement is true.
(d) To find verify the answer we need to multiplying the equation
Hence, the given statement is false.
Answer:
1. d
2. 2
Step-by-step explanation:
if it's a negative it's opposite will be a positive and vice versa
