Place the steps to sketch the graph of a rational function in the appropriate order.

a. choose the test numbers to the left and right of each of these places, and find the value of the function at each test number.

b. use test numbers to find where the function is positive and where it is negative.

c. find the function's zeros and vertical asymptotes, and plot them on a number line.

d. sketch the function's graph, plotting additional points as guides as needed

the correct order is c, a,b, d

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .

correct me if i'm wrong and if it is i'm truly sorry.