"A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change?"

Step-by-step explanation:

We have been given that a rectangular prism has a height of 3 inches and a volume of 27 cubic inches.

We know that volume of rectangular prism is length times width times height.

Since height of the prism is changed to 6 inches and other dimensions stay the same, so volume of prism with change would be 6 times product of length and width.

Therefore, the volume of prism with change would be 54 cubic inches.

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.

go and ask your mom to you