The answer would be the following:
9 x - 4 = 4x + 16
First, reorder the numbers for each person.
The median is basically the middle number. If there are 2 middle numbers, then take the average of the two of them.
Pedro: 4, 5, 6, 7, 8, 9
The 2 middle numbers are 6 and 7. The average of 6 and 7 is 6.5 .
Median = 6.5
Alex: 3, 5, 5, 5, 9, 9
The 2 middle numbers are 5 and 5; so basically, the average is 5.
Median = 5
Jaime: 3, 4, 6, 8, 8, 9
The 2 middle numbers are 6 and 8 and thus, the average is 7.
Median = 7
So the answer should be Jaime.
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Answer:
Step-by-step explanation:
You have to subtract 2 1/2 from 6 and that will equal 3 and 1/2.
Answer:
55.4176955.4176955.4176955.41769
Step-by-step explanation:
