Determine the horizontal asymptote for the rational function.
A rational function is graphed in the first quadrant, and in the second and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 1 and approaches an imaginary vertical line at x equals 5.
y = 5
y = −5
y = 1
y = −1

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation:

you have to find the same variables -3n - 5n so this would be -3n +(-5n) which equals -9n