Simplify. Assume that no denominator is equal to zero.

FIRST OPTION.

Step-by-step explanation:

For this exercise it is important to remember a property called "Quotient of Powers property".

 By definition the Quotient of Powers property states the following:

You can observe the division of and . Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".

In this case, you have the following expression given in the exercise:

Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.

Therefore, you get the following result:

You can notice that it matches with the first option.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x