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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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By what percent will a fraction increase if its numerator is decreased by 30%
Nadya [2.5K]

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

\implies \dfrac{x}{y}

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

\implies \dfrac{0.7x}{0.5y}

\implies \dfrac{0.7}{0.5}=1.4

\implies 1.4 \ \dfrac{x}{y}

1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%

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2 years ago
Add [ –6 –2 2] + [–3 2 1].
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The answer is... A hope this helps
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3 years ago
Eight people are equally sharing 12 muffins. How many muffins will each person receive?
Marina CMI [18]
Total number of muffins = 12 muffins
Total number of people sharing muffin = 8

Muffins each person will receive = Total number of muffins
                                                          ---------------------------------
                                                          People sharing muffins
                                                   
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7 0
3 years ago
Read 2 more answers
What is the value of x?<br><br><br><br> Enter your answer in the box.
charle [14.2K]

Hi there!

We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value).  Therefore, angle S and is equal to one-third of the triangle's angle measure.  

180/3=60

60=7x+4

56=7x

x=8

-AwesomeRepublic  :)

4 0
3 years ago
Read 2 more answers
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crimeas [40]

<u>IF YOU NEED SLOPE-INTERCEPT FORM</u>

2x + 3y - 7 = 0

3y = -2x + 7

y = -\frac{2}{3} + \frac{7}{3}

<u>IF IT IS KIND OF HOW YOU WROTE IT:</u>

If it is 2x+3y-7=2x+3y-7 then the solution is 1

IF THIS IS NOT WHAT YOU NEED, <em>PLEASE </em>COMMENT WITH MORE CONTEXT! :D

5 0
3 years ago
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