A fleet technician is simplifying a maintenance cost formula represented by the expression ${}10y^2 - 55y + 70$ for a budget report. Arrange the following steps of the 'ac' method in the correct sequence to reach the completely factored form.

A laboratory technician is modeling a chemical reaction rate with the expression ${}10y^2 - 55y + 70$. To simplify the expression, the technician first factors out the Greatest Common Factor (GCF) of 5, resulting in ${}5(2y^2 - 11y + 14)$. When using the 'ac' method to factor the trinomial ${}2y^2 - 11y + 14$, which two numbers should be identified because they multiply to 28 and add to -11?

A facility manager uses the quadratic expression ${}10y^2 - 55y + 70$ to model annual maintenance costs. To simplify a budget report, the manager factors the expression using the 'ac' method. Match each part of the factoring process with its correct numerical value or simplified algebraic form.

An environmental engineer is analyzing the flow rate of a waste treatment system. The efficiency of the system is modeled by the quadratic expression ${}10y^2 - 55y + 70$. True or False: To factor this expression completely using the 'ac' method, the first step is to factor out the Greatest Common Factor (GCF) of 5.

Factoring a Load-Bearing Model

A manufacturing quality controller uses the formula ${}10y^2 - 55y + 70$ to determine the acceptable tolerance range for a machined part. To simplify the formula, the controller factors out the Greatest Common Factor (GCF) of 5, resulting in ${}5(2y^2 - 11y + 14)$. In the next step of the 'ac' method, they split the middle term, $-11y$, into $-7y$ and ____.

Standard Operating Procedure: Factoring a Logistics Cost Formula