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

1/2x + 4

x + 6 - 1/2x - 2

a. both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
b. both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
c. one expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
d. one expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

pretty sure the answer is A

Step-by-step explanation:

1/2(2) + 4 = 1 + 4 = 5

2 + 6 - 1/2(2) -2 = 8 - 1 - 2 = 5

 The correct option is

(A) Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:  We are given to find he result of substituting 2 for x in both the following expressions :

Substituting x = 2 in both the expressions, we get

So, the both the expressions equal 5.

Now, from equation (ii), we get

That is, both the expressions are equivalent.

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

Option (A) is CORRECT.

number 1

You will find that it is easier to do your algebra BEFORE plugging in the numbers. You have KE = 1 2 m v 2 KE=12mv2 then 2 KE = m v 2 2KE=mv2 then 2 KE m = v 2 2KEm=v2 so v = √ 2 KE m v=2KEm Now you can substitute in your numbers and arrive at the numeric solution.

number 2

v = πr²h

Solve for r

We can take the root of both sides, then solve from there

Thus,

The correct answer is option A

number 3

Since

t

is on the right side of the equation, switch the sides so it is on the left side of the equation.

16

t

2

=

d

Divide each term by

16

and simplify.

t

2

=

d

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

t

=

±

√

d

16

The complete solution is the result of both the positive and negative portions of the solution.

t = √ d 4 , − √ d 4