he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.

2(3.4 – 2.1) + 4.1

Which statement is true?

Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.

Respuesta :

Sarah performed the first step correctly.

Given the function that Sarah performed as:

[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]

To simplify the function, the first step Sarah carries out is to divide the numerator by 2:

[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]

This shows that Sarah performed the first step correctly.

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