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prohojiy [21]
3 years ago
5

Water coming out from a fountain is modeled by the function:

Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0
Average rate of change from x = 2 to x = 5 is (f(5) - f(2))/(5 - 2) = ((-(5)^2+6(5)+6) - (-(2)^2+6(2)+6))/3 = ((-25+30+6) - (-4+12+6))/3 = (11 - 14)/3 = -3/3 = -1

Therefore, the water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
olganol [36]3 years ago
6 0
Average speed = change in position / change in time.
m = (f( b ) - f ( a )) / ( b - a )
a = 2,  b = 5
f ( a ) = f ( 2 ) = - 4 + 12 + 6 = 14
f ( b ) = f ( 5 ) = - 25 + 30 + 6 = 11
m = (11-14) / (5-2) = -3/3 = -1
Answer: D ) The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds. 
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Priya needs 13⅓ cups of orange juice

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Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

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5/2 * 3 = 100/x

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15/2 * x = 100/x * x

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So, 13⅓ cups of orange is needed by Priya

......................................................................................................................

Diego

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Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

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5/3 ÷¼ = 100 ÷ x

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20/3 * x = 100/x * x

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3 * 20x/3 = 100 * 3

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20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

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