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Verified Answer :

Answer:

- degree of length: 1

- degree of width: 1

- degree of height: 3

- degree of volume: 5

The ___SUM____ of the degrees of each factor is the degree of the product.

Why does this make sense? Option C!

Step-by-step explanation:

zubam2002

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