Which linear function represents a slope of 1/4
2 answers:
ANSWER
The correct answer is B.
EXPLANATION
We use the formula for finding the slope of a straight line which is given by
to find the slope each table or graph.
From the first table, the slope can be calculated using
From option B, the slope can be calculated using
From the third option, we can calculate the slope using
We can calculate the slope of the last option using
Therefore the correct answer is B.
The correct answer is B.
EXPLANATION
We use the formula for finding the slope of a straight line which is given by
to find the slope each table or graph.
From the first table, the slope can be calculated using
From option B, the slope can be calculated using
From the third option, we can calculate the slope using
We can calculate the slope of the last option using
Therefore the correct answer is B.
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By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
<h3>How to find the inverse of a function</h3>
In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:
x · (y + 7) = - 2 · y + 2
x · y + 7 · x = - 2 · y + 2
2 · y + x · y = - 7 · x + 2
y · (2 + x) = - 7 · x + 2
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
To learn more on inverses: brainly.com/question/7181576
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