PLEASE HELP ITS MY TRIMESTER TEST MY MOM WILL KILL ME IF I FAIL! <3 WILL MARK BRAINLIST!
1 answer:
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Answer:
- Domain =
- Range =
Step-by-step explanation:
The given function is,
f(x) is a quadratic function. As this is a polynomial function, so its domain is the entire real number set.
As its leading coefficient will be negative, so it will open downward. Hence, its range will be all real numbers below its vertex.
The general vertex form of quadratic function or parabola is,
where (h, k) is the vertex.
Comparing the given function with this we get the vertex at
The y coordinate of the vertex is -2, so the range of the given quadratic function is,
Answer:
The number of bacteria after
days is given by
where is the initial number of bacteria.
Step-by-step explanation:
The number of bacteria in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is
where is the initial number of bacteria in the sample.
After the 2nd 10th days, the number of bacteria is
after the 3rd day,
and so on.
Thus, the formula we get for the number of bacteria after the <em>n</em>th 10-days is
where is is the <em>n</em>th 10-days.
Since, is 10 days, we have
or
Substituting that into , we get: