Solve: 12/35 − 5/21 a. 11/105 b. 3/7 c. 61/105

a: 11/105

Step-by-step explanation:

Simplify the following:

12/35 - 5/21

Put 12/35 - 5/21 over the common denominator 105. 12/35 - 5/21 = (3×12)/105 + (5 (-5))/105:

(3×12)/105 + (5 (-5))/105

3×12 = 36:

36/105 + (5 (-5))/105

5 (-5) = -25:

36/105 + (-25)/105

36/105 - 25/105 = (36 - 25)/105:

(36 - 25)/105

| 3 | 6

- | 2 | 5

| 1 | 1:

11/105

based on context clues you gave i'm assuming the answer would be c.

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.