2,3,5,9,17 what’s the pattern?
The pattern is multiply by 2 then subtract 1
2 x 2 - 1 = 4 - 1 = 3
3 x 2 - 1 = 6 - 1 = 5
5 x 2 - 1 = 10 - 1 = 9
9 x 2 - 1 = 18 - 1 = 17
17 x 2 - 1 = 34 - 1 = 33
33 x 2 - 1 = 66 - 1 = 65
65 x 2 - 1 = 130 - 1 = 129
Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515
Answer:
50 pens
Step-by-step explanation:
x= 25 percent of 200
25/100 times X/200
Cross multiply them and you get
100x=5000
X=5000/100
X=50
25 percent of 200 is 50.
Which means they have away 50 pens