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Drag each label to the correct location on the equation. Each label can be used more than once, but not all labels will be used. A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by the function f(m) = (m + 4)2 + 100, and the capacity of machine 2 is defined by the function g(m) = (m + 12)2 − 50, where m is the number of minutes the packaging machine operates. Create the function C(m) that represents the combined capacity of the two machines

Answer :

The combined capacity is given by (f+g) m = 2m² +32 m +210

What is an Equation ?

An equation is defined as a mathematical statement used to relate a dependent and an independent variable.

The equation that gives the capacity of machine 1 is

f(m) = (m+4)² +100

and

The equation that gives the capacity of machine 2 is

g(m) = (m + 12)² -50

The total capacity of both the machine is given by

f(m) + g(m) =  (m+4)² +100 +(m + 12)² -50

(f+g) m = 2m² +32 m +210

Therefore the combined capacity is given by (f+g) m = 2m² +32 m +210

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