Evaluate each expression if a = 6, b = 3, and c = 2. 1. ab 1 2. c + 4 2 3. 18 4. a − b 4 5. 2c 3 6. b ÷ 3 5 7. a − 1 6 8. 6 + c 8

a = 6, b = 3, and c = 2

1.ab1= 6 × 3 × 1 = 18

2.c + 42 = 2 + 42 = 44

3.18 = 18

4.a − b4  = 6 - 3(4) = 6 - 12 = - 6

5.2c3 = 2 × 2 × 3 = 12

6.b ÷ 35 = 3÷35 = 0.086

7.a − 16 =  6 - 16 = -10

8.6 + c8 = 6 + 2 (8) = 6 + 16 = 22

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is