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stealth61 [152]
3 years ago
5

Which of the following equations represents an exponential relationship?

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

Y = 3x2 because they share exponent X

Step-by-step explanation:

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is your answer

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the cost of one soccer ball is 150/6 or 25 dollars.

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Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

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Step-by-step explanation:

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