I need help please ! :)

The equation where y is the cost in month x. This equation represents the situation.

Step-by-step explanation:

Step 1:

The service charges for the first month = $72.99,

The service charges for the second month = $101.44, and

The service charges for the third month = $129.89.

The difference between the first and the second month = $28.45.

The difference between the second and the third month = $28.45.

So for every consecutive month, the service charges increase by $28.45.

Step 2:

The service charges are always added on to the first month's charges i.e. $72.99.

So the equation to represent the situation is where x is the month in which we are calculating that months charges y.

If x = 1,

if x = 2,

If x = 3,

So the situation is represented by that formula.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.