Create a problem with a quadratic equation that you would solve graphically and solve it.
1 answer:
The solutions to the quadratic problem are x = -1 and x= 4
<h3>Solving Quadratic equations graphically</h3>From the question, we are to create a problem with a quadratic equation and solve graphically
Consider the quadratic equation
x² -3x -4 = 0
The graph of the quadratic equation is shown below
We can observe that the graph cuts the x-axis at the point x = -1 and x = 4
Hence, the solutions to the quadratic problem are x = -1 and x= 4
Learn more on Quadratic Equations here: brainly.com/question/13724583
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Answer:
a) The sinusoidal equation is;
The function is h = -24·cos[π(t )] + 24
The sketch of one full revolution is attached
b) The height of the nail at 0.8 seconds is 43.42 cm
Step-by-step explanation:
The sinusoidal equation that models the nails height can be given as follows;
y = A·cos[B(x - C)]+D
A = The amplitude = Half maximum height = 48/2 = 24 cm
The period = 2·π/B = Time to complete one oscillation = 2 seconds
∴ B = 2·π/2 = π
x = t = Time
C = The horizontal shift
D = the vertical shift = 24 cm
y = The height of the nail = h
We have;
h = -24·cos[π(t - C)] + 24
At t = 0, h = 0, therefore, we have;
0 = -24·cos[π(0 - C)] + 24
24·cos[π(0 - C)] = 24
∴ cos[π(0 - C)] = 24/24 = 1
π(0 - C) = 0
C = 0
The function is h = -24·cos[π(t )] + 24
b) The height of the nail at 0.8 seconds is given as follows;
h = -24×cos[π(0.8)] + 24 =
h = 19.42 + 24 = 43.42 cm.
