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.
5/9 = .55555555555 yards traveled per hop
15/9 = 1.6666667 feet per hop
Answer:
9x2 +42x + 24 <u>is</u> (x + 4) (9x + 6)
9x2 + 30x + 24 <u>is</u> (3x + 6) (3x + 4)
9x2 + 58x + 24 <u>is</u> (9x + 4) (3x + 4)
I tried reversing it, instead of doing these - 9x2 + 58x + 24 I did (9x + 4) (3x + 4)
Answer:
3x^{3} -66
Step-by-step explanation: