Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
Answer:
minimum; y=0
Step-by-step explanation:
I plugged it into a ti-nspire calculator lol.
What we have here is a problem of proportions. We're assuming that the probabilities - the ratio of rainy days to total days - are equal; 3 is to 20 as <em>something</em> (let's call it <em>r </em>for "rainy days") is to 365. Mathematically, that gives us this equality:

To solve for <em>r</em>, we can simply multiply either side of the equation by 365:

365 and 20 have the factor 5 in common, so we can use that to reduce the fraction to:

So, the number of rainy days, if that pattern continued, would be around 54 3/4 days, or
55, rounded up to the nearest day.