Please help on this one?
1 answer:
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Answer:
4 and 13
Step-by-step explanation:
You want integer solutions to ...
15 ≤ n(n+1) ≤ 200
If we let the limits be represented by "a", then the equality is represented by ...
n² +n -a = 0
(n² +n +1/4) -a -1/4 = 0
(n +1/2)^2 = (a +1/4)
n = -1/2 + √(a +1/4)
For a=15, we have
n ≥ -1/2 + √15.25 ≈ 3.4 . . . . . minimum n is 4
For a=200, we have
n ≤ -1/2 + √200.25 ≈ 13.7 . . . maximum n is 13
The least and greatest integers on the cards are 4 and 13.
Answer:
see below
Step-by-step explanation:
A graphing calculator can help you do this.
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The function crosses the y-axis where x=0.
g(0) = -5^0 +5 = -1 +5
g(0) = 4
The function crosses the x-axis where g(x) = 0
0 = -5^x +5
5^x = 5 = 5^1
x = 1
g(1) = 0
The points of interest are (0, 4) and (1, 0).
