Consider the following rational functions:

r(x)=2x-1/x^2-x-2
s(x)=x^3+27/x^2+4
t(x)=x^3-9x/x+2
u(x)=x^2+x-6/x^2-25

a)which of these rational functions has a horizonatal asymptote?b)which of these functions has a slant asymptote?
c)which has no vertical asymptote?
d)graph y=u(x) showing clearly any asymptotes and x- and y-intercepts the function may have.
e)use long division to find a polynomial P that has the same end behavior as t. Graph both P and t on the same screen to verify that they have same end behavior.

Use the knowledge of x- and y- intercepts to choose the correct graph of the equation 3x+6y=6

Simplify using positive exponents only.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.