The length of a rectangle is 1 less than twice the width. the area of the rectangle is 28 square feet. which equation represents the situation?

2W²-W-28 = 0 is the equation.

Step-by-step explanation:

To form the equation we should always follow the statement as said.

First statement is

The length (L) of a rectangle is 1 less than twice of width (W).

Means L = 2W - 1  (1)

Second statement

Area of the rectangle is 28 feet²

Means L×W = 28 (2)

Now by putting the value of L from equation 1 to equation 2.

(2W - 1)×W = 28

2W² - W = 28

2W² - W - 28 = 0

This the equation that represents the situation.

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.