Answer:
6n-1
Step-by-step explanation:
Re-arrange
-(1 - 6n)
-(-6n + 1)
Distrubute
-(-6n -1)
6n - 1
Answer:
-3
Step-by-step explanation:
parallel lines always have the same slope, the y-intercepts will differ
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:
84 pencils....7/8 given away....so if ur giving 7/8 of them away, then ur keeping 1/8 of them
1/8 of 84..." of " in math, means multiply
1/8 * 84 = 84/8 = 10.5...not sure why ur gonna keep that half of a pencil..but thats the answer