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nevelle
26.03.2021 •
Mathematics
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
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Ответ:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that y = 20 when x = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that y = 1280 when x = 6. Thus:
Solve for b. Divide both sides by 20:
Therefore:
Hence, our function is:
Ответ:
Step by step explanation