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olga2289 [7]
3 years ago
11

The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, wher

e h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250
Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

C

Step-by-step explanation:

0.1(x - 100)² + 250

0.1[(x - 100)(x - 100)] + 250

0.1(x² -200x + 10000) + 250

0.1x² - 20x + 1000 + 250

0.1x² - 20x + 1250

0.1x² - 25x + 5x + 1250

0.1x(x - 250) + 5(x + 250)

∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)

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You are training to compete in a 10-kilometer race, and you know the circular running trail at your park is one mile long. How m
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2 years ago
What set of reflections would carry hexagon ABCDEF onto itself?
Marianna [84]

When a set of reflections that carry a shape onto itself, it means that the final position of the shape will be the same as its original location

Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself

First; we test the given options, until we get the true option

<u>(a) y=x, x-axis, y=x, y-axis</u>

The rule of reflection y =x is:

(x,y) \to (y,x)

The rule of reflection across the x-axis is:

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So, we have:

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The rule of reflection y =x is:

(x,y) \to (y,x)

So, we have:

(y,-x) \to (-x,y)

Lastly, the reflection across the y-axis is:

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So, the overall transformation is:

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Notice that, the original and final coordinates are the same.

This means that:

Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself

Read more about reflections at:

brainly.com/question/938117

4 0
2 years ago
60 days increased by 70%
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70% of 60 is just 60 multiplied by 0.7:
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4 0
4 years ago
Read 2 more answers
Please help with this thank you
RUDIKE [14]

1/4 is 25 percent so it is still 40.00

6 0
2 years ago
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