(05.06 lc)

which graph best represents a decreasing function?

First graph

Step-by-step explanation:

The first graph is strictly decreasing because it starts from point (0;4) and decrease to point (4;0).

While graph 2 and 3 is constant

Since graph 2:y=2 and 3:x=1

And graph 4 is strictly increasing from (0;0) to (4;4).

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.