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
0.25q + 0.10d = 1.25
q + d = 8....q = 8 - d
0.25(8 - d) + 0.10d = 1.25
2 - 0.25d + 0.10d = 1.25
-0.25d + 0.10d = 1.25 - 2
-0.15d = - 0.75
d = -0.75/-0.15
d = 5 <=== there are 5 dimes
q + d = 8
q + 5 = 8
q = 8 - 5
q = 3 <=== there are 3 quarters
Hello!
The answer is B
Hope this helps!
Hi the answer is x^5.
19 is a prime number, so 3 cannot be a factor. However, bother terms contain x^5, this is the greatest common factor.
