The values that correctly models the scenario of the rollercoaster graph will be:
- Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6
- Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5
- Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5)
<h3>How does the
graph model the situation</h3>
From the complete question,
For Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6
where at x = 0, Red(x) = 10,
at x = 5, Red(x) = 2.5
For Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5 if 6 ≤ x < 10
where at x = 10, Green (x) = 7,
at x = 6, Green (x) = 2.0
For Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5) if 10 ≤ x ≤ 15
where at x = 10, Purple (x) = 7,
at x = 15, Purple (x) = 0
Learn more about graphs on:
brainly.com/question/25020119
Vas happenin!!
1. 12
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Then the greatest common factor is 12.
2. 3
The factors of 39 are: 1, 3, 13, 39
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 3.
3. 14
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
4. 24
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Then the greatest common factor is 24.
5. 13
The factors of 65 are: 1, 5, 13, 65
The factors of 91 are: 1, 7, 13, 91
Then the greatest common factor is 13.
6. 1
The factors of 7 are: 1, 7
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 1.
Hope this helps you *smiles*
