I'm being timed for this !

which applies the power of a product rule to simplify (5t)^3?

a. (5t)^3 =5t^3
b. (5t)^3 = 3(5t) = 15t
c. (5t)^3 = 5^3 t^3 = 125t^3
d. (5t)^3 = 5^3t = 125t

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.