What is the rate of change of the following equation? y = 5x + 4​

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What is the rate of change of the following equation? y = 5x + 4​

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RI SƠ 4 years 2021-08-27T23:42:55+00:00 1 Answers 11 views 0

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  1. phucdien
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    2021-08-27T23:44:36+00:00
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    Answer:

    5

    Step-by-step explanation:

    Rate of change of the equation y = 5x + 4 can be obtained by differentiating it with respect to x.

    \because \: y = 5x + 4 \\ \therefore \: \frac{dy}{dx} = \frac{d}{dx} (5x + 4) \\ \\ = 5 \frac{d}{dx} x + \frac{d}{dx} 4 \\ \\ = 5 \times 1 + 0 \\ \therefore \: \frac{dy}{dx} = 5 \\

    Hence, rate of change of y = 5x + 4 is 5.

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