The width of the prism is (2x − 2) ft, and its height is (x + 5) ft. The area of the base of the prism is (2x2 + 6x − 8) ft2.

2x^2+8x-10

Step-by-step explanation:

Given data

Width= (2x -2) ft

Heigth=  (x + 5) ft

The area of the base is given as

Area= width * heigth

Area=  (2x -2)* (x + 5)

open bracket

Area= 2x^2+10x-2x-10

collect like terms

Area= 2x^2+8x-10

idk

step-by-step explanation:

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.