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mohammedel04
09.04.2020 •
Mathematics
Dakota believes there is a correlation between the number of texts sent in class and GPA. She collected data and found that the line of best fit for the data can be modeled by the equation y = 3.9 − 0.3x.
Identify and interpret the slope in this scenario.
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Ответ:
V.A.: x = -4, H.A: y = -6
Step-by-step explanation:
Vertical Asymptote is the restriction on "x". Since the denominator cannot be equal to zero, then x + 4 ≠ 0 ⇒ x ≠ -4. So, the vertical asymptote is at x = 4.
Horizontal Asymptote is the restriction on "y". This is determined by the degree of the numerator compared to the degree of the denominator. In the given problem, the degree of the numerator is less than the degree of the denominator so the horizontal asymptote is y = 0. However, there is also a negative 6 after the rational expression so the horizontal asymptote is: y = 0 - 6 ⇒ y = -6