Answer:
Hope this helps
Full working out please ^^ for the first question , ty
1 answer:
Answer:
E
Step-by-step explanation:
Given
y = 2x² - kx + 3
with a = 2, b = - k and c = 3
Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is
b² - 4ac = 0, that is
(- k)² - (4 × 2 × 3) = 0
k² - 24 = 0 ( add 24 to both sides )
k² = 24 ( take the square root of both sides )
k = ± = ± 2
k = 2 or k = - 2
→ E
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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)
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:
