What will be the result of substituting 2 for  x  in both expressions below?  

1/2x + 4

x + -1/2x - 2

both expressions equal 5 when substituting 2 for  x  because the expressions are equivalent.

both expressions equal 6 when substituting 2 for  x  because the expressions are equivalent.

one expression equals 5 when substituting 2 for  x,  and the other equals 2 because the expressions are not equivalent.

one expression equals 6 when substituting 2 for  x,  and the other equals 2 because the expressions are not equivalent.

Step By Step:

With each expression we will first simplify (combine like terms), then substitute, and then solve.

First Expression:

1/2x + 4

Simplify:

There is no like terms so we result in 1/2x + 4 still

Substitute:

1/2x + 4

1/2(2) + 4

Solve:

1/2(2) + 4

1 + 4 = 5

Second Expression:

x + -1/2x - 2

Simplify:

x + -1/2x - 2

1/2x + (-2)

Substitute:

1/2x + (-2)

1/2(2) + (-2)

Solve:

1/2(2) + (-2)

1 + (-2)

1 - 2 = -1

None of the answers are correct from what I can see. Although, we do know that the two expressions are not equivalent considering we got two completely different answers, so your answer could not be A or B. Next, we know that one expression equals 5, which can remove D and leave us with only C. This leaves us with only to guess of what the answer is.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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