While vacationiong, you decided to go bungee jumping off a cliff into the river. Your height as a function of time is modeled by the function h(t)= -16t^2+16t+370, where t is time in seconds and h is the height in feet.

When did u hi the water? Round your answer to the nearest hundreth?

Answers

Answer 1

Answer:

5.33 Seconds

Step-by-step explanation:

This is because you have to do the quadratic equation and solve.

Answer 2

The time required to hi the water is 5.33 seconds.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x as ax^2+bx+c=0 with a ≠ 0 . A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.

For the given situation,

The function is h(t)= -16t^2+16t+370

The roots of this function can be found by using the formula,

[tex]t=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]t=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

Here, a=-16, b=16, c=370

⇒ [tex]t=\frac{-16+\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex] or [tex]t=\frac{-16-\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex]

⇒ [tex]t=\frac{-16+\sqrt{23936} }{-32}[/tex] or [tex]t=\frac{-16-\sqrt{23936} }{-32}[/tex]

⇒ [tex]t=\frac{-16+154.712}{-32}[/tex] or [tex]t=\frac{-16-154.712}{-32}[/tex]

⇒ [tex]t=\frac{138.712}{-32}[/tex] or [tex]t=\frac{-170.712}{-32}[/tex]

⇒ [tex]t=-4.33[/tex] or [tex]t=5.33[/tex]

Time cannot be negative. So the value is 5.33.

Hence we can conclude that the time required to hi the water is 5.33 seconds.

Learn more about quadratic equation here

https://brainly.com/question/12187987

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

Hopes this helps:

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Answers

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Answers

Answer:

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Answers

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Answer:

each apple is £ 1.80

Step-by-step explanation:

i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.

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1.80

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Solution given:

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Answers

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105°

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Answers

Answer:

A

Step-by-step explanation:

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Answers

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

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