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:
42
Step-by-step explanation:
h(-6) = 41-5
h(-6) = 36
h = 36 + 6
h = 42
Answer:
jacket 80
shoes 32 and 16
shirt 9 , 8.04, 4.08
Step-by-step explanation:
you need to multiply the original cost by the percentage off and then subtract from the original
example
Jacket is originally priced at $120 it is on sale for 1/3 off which means that if you divide 120 by 3 you will get 40. but you would have to subtract the 40 from 120 giving you 80
<span>Cougar population was 790 at the beginning
830-790=40</span>
Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
<u>9x</u>= <u>18</u>
9 9
x= 2