Answer:
a.51
b.131.5
d.131.5
w.131.5
x.51
y.131,5
z.51
don't know the rest
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
200 gallons of regular gas and 80 gallons of premium gas were sold.
Let the amount of regular gas sold be x gallons. So, the amount of premium gas sold will be (280 - x).
Now, forming the equation using the given information, to find the amount of each type of gallon.
Equation -
2.10x + 2.90(280 - x) = 652
Performing multiplication with values inside bracket in Left Hand Side
2.10x + 812 - 2.90x = 652
Rewriting the equation -
812 - 652 = 2.90x - 2.10x
Performing subtraction
160 = 0.8x
Rewriting the equation according to x
x = 160÷0.8
Performing division to find the value of x
x = 200
So, 200 gallons of regular gas was sold.
Amount of premium gas sold = 280 - 200
Performing subtraction
Amount of premium gas sold = 80 gallons
Hence, 200 gallons of regular gas and 80 gallons of premium gas was sold.
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Answer:
Yes you are correct
Step-by-step explanation:
By doing that, you will get 8 which is the correct answer
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)]
