F(x)=x^3-9x
and
g(x)=x^2-2x-3
so you just need to divide f(x) by g(x)
Therefore:
f(x)/g(x) = (x^3-9x) / (x^2-2x-3)
and of course you need to factor these two function to see if some factor would cancel another
x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)
Answer:
2 vertical asymptotes occurring at x = 5 and x = -1
Step-by-step explanation:
given

recall that asymptotic occur at the locations that will make the equation undefined. In this case, the asymptote will occur at x-locations which will cause the denominator to become zero (and hence undefined)
Equating the denominator to zero,
(x-5)(x+1) = 0
(x-5) =0
x = 5 (first asymptote)
or (x+1) = 0
x = -1 (2nd asymptote)
There is a strong, negative relationship between outside temperature and snow shovel sales. As x increases, y decreases.
9514 1404 393
Answer:
(a) not proportional
(b) k = 7/8
Step-by-step explanation:
When a linear equation is of the form ...
y = mx + b
with b ≠ 0, the relation is NOT PROPORTIONAL.
__
If b=0, so the equation is of the form ...
y = kx
then the relation IS PROPORTIONAL. The constant of proportionality is k.
__
(a) Not proportional
(b) Proportional with k = 7/8
Answer:
Looks good to me!
Step-by-step explanation: