Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
Step-by-step explanation:
a. 100005
1 x 1000000 + 0 x 100,000 + 0 x 10000 + 0 x 1000 + 0 x 100 + 0 x 10 + 5 x1
1 x 10^6 + 0 x 10^5 + 0 x 10^4 + 0 x 10^3 + 0 x 10^2 + 0 x 10^1 + 5 x 1
= 100,000 + 0 + 0 +0 +0 + 5
b. 84016
8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1
80000 + 4000 + 0 + 10 + 6
c. 9078
9 x 1000 + 0 x 100 + 7 x 10 + 8 x 1
9000 + 0 +7 + 8
d. 113
1 x 100 + 1 x 10 + 3 x 1
100 + 10 + 3
e. 75
7 x 10 + 5 x 1
70 + 5
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Answer:
Step-by-step explanation:
dam harder than my 9th grade test coming up
Some things you need in your respond is:
- Although the percentage might eventually round to 100%, it is not possible to have 100% of the phones working.
- This is because the model began when only 3 out of 10 phones were working, so there are 7 phones that were not working.
- In other words, the numerator and denominator of the expression are never the same, so the expression is never equal to 1 or 100%.
