Which equation is an identity? 7m – 5 = 8m + 7 – m 3w + 8 – w = 4w – 2(w – 4) 9 – (2v + 3) = –2v – 6 –3y + 3 = –3y – 6 explain your answer.

The correct option is 2.

Step-by-step explanation:

The equations that are true for any value of the variable, no matter what value is plugged in for the variable, then they are called Identity equations.

The first equation is

Subtract 7m from both the sides.

This statement is false for any value of m. Therefore this is not an Identity equation.

The second equation is

Using distributive property,

This statement is true for any value of w. Therefore this is an Identity equation.

The third equation is

This statement is false for any value of v. Therefore this is not an Identity equation.

The fourth equation is

Add 3y on both the sides.

This statement is false for any value of y. Therefore this is not an Identity equation.

Hence the correct option is 2.

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a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.