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satela [25.4K]
4 years ago
13

What is the slope of the linear function represented in the table? -7

Mathematics
1 answer:
Minchanka [31]4 years ago
6 0

Answer:

The function is linear; therefore, the slope of the line joining any two points is the same. We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).

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For this case we have the following functions:

g (x) = 15-4x\\h (x) = x + 8

We must findg (h (x))when x = 2.

So:

g (h (x)) = 15-4 (x + 8) =

We apply distributive property to the terms within parentheses taking into account that:

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We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

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Thus, we have to:

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Equal signs are added and the same sign is placed.

Answer:

g (h (2)) = - 25

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