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Two companies are merging to become one large corporation. The number of employees at company A is given by f(x) = 58x + 21, where x represents the number of decades since both companies started in 1950. The number of employees at company B is given by g(x) = 53x + 23. Which function describes the total number of employees at the newly merged corporation? A. h(x) = 111x + 44 B. h(x) = 5x − 2 C. h(x) = (58x + 21)(53x + 23) D. h(x) = -5x + 2

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ANSWER

A. h(x) = 111x + 44

EXPLANATION

The number of employees at company A is given by

f(x) = 58x + 21

The number of employees at company B is given by

g(x) = 53x + 23

Merging two things means finding their sum.

When we merge the two corporations, the total number of employees at the newly merged corporation is

[tex]h(x) = f(x) + g(x) [/tex]

[tex]h(x)= (58x + 21) +( 53x + 23)[/tex]

Group similar terms,

[tex]h(x) = 58x + 53x + 21 + 23[/tex]

Combine similar terms,

[tex]h(x) =111x + 48[/tex]

Answer:

A. h(x) = 111x + 44

Step-by-step explanation:

just took the test :)

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