Apply the distributive property to create an equivalent expression.
6(5x -3)

30x-18

Step-by-step explanation:

When you do distributive property, it is the equivalent of multiplying the number outside of the paranthesis (in this case, the number 6), to all the numbers in the paranthesis. 6*5x=3x, and 6*-3= -18. If you put that all together you get 30x-18.

Hope this helped!

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.