What system of inequalities is represented by the graph?

Equations are y ≥ -5x + 2 and y ≥ 3x -4.

Step-by-step explanation:

Given : Graph .

To find : What system of inequalities is represented by the graph.

Solution : We have given that graph with two lines.

We can see line 1 and line 2 both are shaded up and solid line that mean equations have equal or greater than sign .

We can see y - intercept ( line cut at y axis) of line 1 is 2 ans slope is -5.

Line of equation y = mx  + b

Where, m = slope and b = y -intercept.

Plug the values

y ≥ -5x + 2   ( greater than or equal to sign for solid line and shaded up).

In line 2 slope is 3 and y - intercept is -4.

Then equation become y ≥ 3x -4.  ( greater than or equal to sign for solid line and shaded up).

Therefore, Equations are y ≥ -5x + 2 and y ≥ 3x -4.

think about it deeply and passionately about this property

i am sorry

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet