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2 years ago

The axis of symmetry for a function in the form f(x) = x2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the

Mathematics

2 answers:

umka2103 [35]2 years ago

8 0

Answer:

(- 2, - 9 )

Step-by-step explanation:

The axis of symmetry passes through the vertex of the parabola.

Thus the x- coordinate of the vertex is x = - 2

To find y substitute x = - 2 into f(x)

f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9

Vertex = (- 2, - 9 )

Nostrana [21]2 years ago

6 0

(-2, -9) that’s My answer I put if this is wrong I’m so sorry

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3 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

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3 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

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(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

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3 years ago

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liberstina [14]

Answer:

Step-by-step explanation:

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3 years ago