Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

Step-by-step explanation:

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

Mathematically this is expressed as:

4(x + 3) + 2x = 6(x + 2)

Verifying the options

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

When x = 3

4(x + 3) + 2x = 6(x + 2)

4(3 + 3) + 2(3)= 6(3 + 2)

24 + 6 = 6(5)

30 = 30

When x = 5

4(x + 3) + 2x = 6(x + 2)

4(5 + 3) + 2(5)= 6(5 + 2)

4(8) + 10 = 6(7)

42 = 42

Statement in option a is correct

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

When x = 1

4(1 + 3) + 2x = 6(x + 2)

4(1 + 3) + 2(1)= 6(1 + 2)

4(4) + 2 = 6(3)

18 = 18

When x = 8

4(8 + 3) + 2x = 6(8 + 2)

4(11) + 2(8)= 6(8 + 2)

44 + 16 = 6(10)

60 = 60

Statement in option b is correct

c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

When x = 2

4(x + 3) + 2x = 6(x + 2)

4( 2 + 3) + 2(2)= 6(2 + 2)

4(5)+ 4 = 6(4)

20 + 4 = 6(4)

24 = 24

4(x + 3) + 2x = 6(x + 2)

4(6 + 3) + 2(6)= 6(6 + 2)

4(9) + 12 = 6(8)

48 = 48

Statement in Option c is wrong

Hence, Statement in Option a and b is correct

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .