Solve for m:
-5(m - 3) + 6 = 2(m - 5)

Step-by-step explanation:

-5(m - 3) + 6 = 2(m - 5)

Expand the terms in the bracket

That's

- 5m + 15 + 6 = 2m - 10

- 5m + 21 = 2m - 10

Subtract 2m from both sides

- 5m - 2m + 21 = 2m - 2m - 10

- 7m + 21 = - 10

Subtract 21 from both sides

That's

- 7m + 21 - 21 = - 10 - 31

- 7m = - 31

Divide both sides by - 7

We have the final answer as

Hope this helps you

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.

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