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Bond [772]
4 years ago
8

(07.06) What exponential function is the best fit for the data in the table?

Mathematics
1 answer:
UNO [17]4 years ago
6 0
The last choice, f(x)=1/4(4ˣ⁻⁻¹)-4, is correct.

Substituting our values for x, we have:
f(2) = 1/4(4²⁻¹)-4 = 1/4(4¹) - 4 = 1/4(4) - 4= 1 - 4 = -3
f(3) = 1/4(4³⁻¹)-4 = 1/4(4²) - 4 = 1/4(16) - 4 = 4 - 4 = 0
f(4) = 1/4(4⁴⁻¹)-4 = 1/4(4³) - 4 = 1/4(64) - 4 = 16 - 4 = 12

All of the data points fit.
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What is 29+d=54;24,25,26, how do I solve it?
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Please Help
xxMikexx [17]

Answer:

degree of length = 1

degree of width = 1

degree of height = 3

degree of volume = 4

Step-by-step explanation:

V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4

dV/dx = 20x∧4 - 4x³  

d²V/dx² = 80x³ - 12x²

80x³ - 12x² = 0

4x²(20x - 3) = 0

20x - 3 = 0

20x = 3

∴ x = 3/20

Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5

∴ degree of length = 1

Width, x = 3/20

∴ degree of width = 1

Height, x³ = (3/20)³ = 27/8000

∴ degree of height = 3

Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 =               - 162/800000 = - 81/400000

∴ degree of volume = 4

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Constant of Proportionality
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Answer: The constant of proportionality is 8 for the the problem on your left! The constant of proportionality for the one on you right is 6! Hope this helps!

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Fofino [41]

Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

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3 years ago
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