Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
Answer:
a is the correct option.
Step-by-step explanation:
We have been given the population model is 
Here x represents number of weeks and f(x) is population of frog after x weeks.
For x= 6, we have
It means that the population after 6 weeks is 960.
Hence, f(6)=960 represents the population after 6 weeks.
a is the correct option.
Answer:
Step-by-step explanation:
5068300- five million, sixty-eight thousand, three hundred
472607- four hundred seventy-two thousand, six hundred seven
51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven
