Choose Yes or No to tell if each pair of expressions is equivalent. 3x + 14 – x + 112 and 4x + 134 Choose... 2 + 6x and 2(3x + 1) Choose... 3(x + 1) – (1 + x) and 2x + 3 Choose... 3x and 4(x + 1) – x – 4 Choose... 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...

B. 2 + 6x and 2(3x + 1) Choose

D. 3x and 4(x + 1) – x – 4 Choose...

E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...

Step-by-step explanation:

A. 3x + 14 – x + 112 and 4x + 134 Choose...

3x + 14 - x + 112

= 2x + 126

And

4x + 134

Not equivalent

B. 2 + 6x and 2(3x + 1) Choose...

2 + 6x

And

2(3x + 1)

= 6x + 2

Yes, equivalent

C. 3(x + 1) – (1 + x) and 2x + 3 Choose...

3(x + 1) - (1 + x)

3x + 3 - 1 - x

2x + 2

And

2x + 3

No, not equivalent

D. 3x and 4(x + 1) – x – 4 Choose...

3x

And

4(x + 1) - x - 4

= 4x + 4 - x - 4

= 3x

Yes, equivalent

E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...

5.5 + 2.1x + 3.8x - 4.1

1.4 + 5.9x

And

1.4 + 5.9x

Yes, equivalent

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

or