In order to make the expression below equivalent to 1 2 x 6, which additional operation should be included in the expression? Use the drop-down menu to select the operation. Five-fourths x 6.

Respuesta :

The additional operation which needed to make the expression equivalent to given expression is [tex]-\dfrac{3}{4} x[/tex]. Thus the option 3 is the correct option.

What is equivalent expression?

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The equation given in the problem is,

[tex]\dfrac{5}{4} x+6[/tex]

Let the equation is equation number 1.

This expression is to convert in the expression, which is,

[tex]\dfrac{1}{2}x+6[/tex]

Let the above equation is equation number 2.

Let the additional operation which needed to make the expression equivalent to given expression is [tex]f(x)[/tex].

As the addition of [tex]f(x)[/tex] and equation 1 is equal to the equation 2. Therefore,

[tex]f(x)+\dfrac{5}{4} x+6=\dfrac{1}{2}x+6[/tex]

Solve the equation as,

[tex]f(x)=\dfrac{1}{2}x+6-\dfrac{5}{4} x-6\\f(x)=\dfrac{1}{2}x-\dfrac{5}{4} x\\f(x)=\dfrac{2-5}{4} x\\f(x)=\dfrac{-3}{4} x[/tex]

Hence, the additional operation which needed to make the expression equivalent to given expression is [tex]-\dfrac{3}{4} x[/tex]. Thus the option 3 is the correct option.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:

c                   the third one

Step-by-step explanation:

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