Solve the following equation using the distributive property. -19 = 5(x + 9) a. x=-64/5 b. x= -33/7 c. x=-37/7 d. x= 13/5

The correct answer option is a. x = -64/5

Step-by-step explanation:

The distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).

Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding the like terms together.

Solving -19 = 5(x + 9) using distributive property, we get:

-19 = 5x + 45

-19 - 45 = 5x

5x = -64

Therefore,

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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.