PROBLEM 2 A pharmaceutical company is testing a new antibiotic. The
number of bacteria present in a sample when the antibiotic
is applied is 100,000. Each hour, the number of bacteria
present decreases by half. The number of bacteria
remaining r(x) is an exponential function of the number x of
hours since the antibiotic was applied.
a=
b=

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step-by-step explanation:

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b