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

Question

Mathematics

Hector

17 December, 17:16

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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Answers (1)

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Milo Gray · Answer 1

A. h (x) = 111x + 44

Step-by-step explanation:

We have to add the two functions.

f (x) + g (x) = h (x)

= (58x + 21) + (53x + 23)

= 58x + 21 + 53x + 23

= (58x + 53x) + (21 + 23)

= 111x + 44

The function that represent the total employee is;

h (x) = 111x + 44