Question

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)

Answer 1

The required function C (m ) which represents the combined capacity of the two machines is $c(m) = 2m^2 + 104m + 1704$

What are functions?

• A connection between a collection of inputs and outputs is known as a function.

The given functions are:

$f(m) = (m+40)^2 + 10 \\and\\g(m) = (m+12)^2 - 50$

$C(m) = f(m) + g(m)$

Expanding the two square brackets in the following manner to calculate that sum:

$f(m) = (m+40)^2 + 10 = m^2 + 80m + 1600 + 10 = m^2 + 80m + 1610\\g(m) = (m+12)^2 - 50 = m^2 + 24m + 144 - 50 = m^2 +24m + 94$

$f(m) + g(m) = 2m^2 + 104m + 1704$

Therefore, function C (m ) which represents the combined capacity of the two machines is $c(m) = 2m^2 + 104m + 1704$

Learn more about functions here:

brainly.com/question/22340031

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