Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x

Response:

The factored expression is .

Detailed explanation:

Provided:

Our goal is to express the given equation in a factored form.

Factoring pertains to rewriting an expression so that the product of its factors yields the original expression

Let’s consider the expression .

We recognize the algebraic identity

Thus, we have .

Matching with the above identity, we assign x= a, and b = 11, leading to

.

Consequently, the factored expression is .

Solution

The number of weeks in a year is 52 weeks

In a typical year, where each flea treatment lasts 4 weeks, Jim's dog would receive

Conversely, during especially bad flea years, when treatments only last for 3 weeks, Jim's dog would need

So in a year, Jim's dog would need 17- 13 =4 extra treatments.

4 treatments at 3 weeks each total 4×3 =12 weeks of additional treatment