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
Let the value of the number be represented as x.
Then, write out an equation;
3x=2x+3 <--- Solve for x now
3x-2x=3
x=3
Therefore the number is 3.
Hope I helped :)
Answer:
0.431 inches
Step-by-step explanation:
We were given the following values:
Height the tennis ball was dropped = 100in
Rebound height = 58in
We have to find the rebound ratio
= 58in/100in = 0.58
The formula to be used
Height on nth bounce = Initial height × (Rebound ratio)ⁿ
Where n = number of bounce
Height on the 10th bounce = 100 × (0.58)^10
Height on the 10th bounce = 0.4308042069inches
Approximately, the height on the 10th bounce = 0.431 inches.
Answer:
D: -2x^6+x^5-3x^4+7x^3-2x^2+3x+1
Step-by-step explanation:
Correct on Edge, hope this helps
Answer:
x = -9/4
Step-by-step explanation:
We have:
(x + 9)/x = -3
(x + 9) = -3x
3x + x + 9 = 0
4x + 9 = 0
4x = -9
x = -9/4