Answer:
y = 2
Step-by-step explanation:
Step 1: Equation
1/2 ( 6 - y ) = y
Step 2: Distribute
3 - 1/2y = y
Step 3: Isolate the y
3 = 1.5y
Step 4: Divide
3/1.5 = y
Answer:
y = 2
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Answer:
-5 and -7
Step-by-step explanation:
-5, -6, -7...
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Answer:
915
Step-by-step explanation:
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.