Answer:
![f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20-%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20-%2027)
Step-by-step explanation:
We want to create a third degree polynomial function with one zero at three.
In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.
Since x=3 is a solution, x-3 is the only factor that repeats thrice.
![f(x) = {(x - 3)}^{3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7B%28x%20-%203%29%7D%5E%7B3%7D%20)
We expand to get:
![f(x) = x( {x}^{2} - 6x + 9) - 3( {x}^{2} - 6x + 9)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20x%28%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%20%2B%209%29%20-%203%28%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%209%29)
![f(x) = {x}^{3} - 6 {x}^{2} + 9x- 3 {x}^{2} + 18x - 27](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20-%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x-%203%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%2018x%20%20-%2027)
This simplifies to:
![f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20-%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20-%2027)
See attachment for graph.
Answer:
Conclusion : People ≠ 20% don't know about their credit score.
Step-by-step explanation:
Hypothesis is testing a statement for its statistical significance.
Null Hypothesis (H0) implies 'no difference from tested value', Alternate hypothesis (H1) implies 'significant difference from tested value'
Let % of people knowing their credit score = CS
H0 : CS = 20
H1 : CS ≠ 20
If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.
I think it may be 1,680B but I'm not too sure...
17 + 2 = 19 km is 1/2 of the total length, that is,
19 = (1/2)h
(1/2)h = 19 multiply both sides by 2
h = 2*19
h = 38 km
The total length in kilometers is 38 km