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Brilliant_brown [7]
3 years ago
13

How do you this. Explain if you can so I can learn thx

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

2 seconds

Step-by-step explanation:

Given

h = - 32t² + 64t

When the frisbee lands the height h = 0, that is

- 32t² + 64t = 0 ( multiply through by - 1 )

32t² - 64t = 0 ← factor out 32t from each term

32t(t - 2) = 0

Equate each factor to zero and solve for t

32t = 0 ⇒ t = 0

t - 2 = 0 ⇒ t = 2

t = 0 represents when the frisbee was thrown

and t = 2 when it lands

Hence it takes 2 seconds for the frisbee to land.

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What are the domains and ranges of the graphs
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Answer:

The domain for graph 1 is all real numbers, the range is y >= 0.

The domain for graph 2 is x >= 0, the range is y >= 0

Step-by-step explanation:

Graph 1: The x values are infinite for the graph, the y values will always be above zero and continue to be infinite.

Graph 2: The x values start at 0 and go to the right for infinity, the y values start at 0 and continue to infinity.

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A ferris wheel can fit 75 people in 25
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Find the vertex of the graph of f(x)=-4(x-1)(x+5)
madreJ [45]

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4  · (x - 1) · (x + 5)

f(x) = - 4 · (x² + 4 · x - 5)

f(x) = - 4 · x² - 16 · x + 20

Now we proceed to complete the square:

f(x) = - (4 · x² + 16 · x - 20)

- f(x) = 4 · x² + 16 · x - 20

- f(x) = (2 · x)² + 8 · (2 · x) - 20

- f(x) + 36 = (2 · x)² + 8 · (2 · x) + 16

- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

7 0
1 year ago
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