Place the steps to sketch the graph of a rational function in the appropriate
order.
sketch the function's graph, plotting additional points as guides as
needed.
choose test numbers to the left and right of each of these places,
and find the value of the function at each test number.
find the function's zeros and vertical asymptotes, and plot them on a
+ number line.
use test numbers to find where the function is positive and where it
is negative.

Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. a daffodil has a mass of d grams, a tulip has a mass of t grams, and the vase has a mass of u grams. the expression 5(3d + 4t + v) describes the mass of 5 bouquets. match each amount in the situation with the expression that represents it. situation expression number of bouquets mass of one bouquet mass of the tulips in one bouquet 4t mass of the daffodils in one bouquet 3d + 4t + v

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Suppose y varies directly with x. write a direct variation equation that relates x and y. then find the value of y when x=12 y=7 when x=3