Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
Sin = surd 3 / 2
get it????
Answer:
PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED
Step-by-step explanation:
Answer:
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x
Step-by-step explanation:
We need to make an equation of: 5 is subtracted from a number the result is the same as the number tripled.
Let, the number be x
5 is subtracted from a number will be: x-5
The number tripled will be: 3*x
The required equation will be:
x-5=3x
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x
Step-by-step explanation:
stem = 2
leaf = 9
=> the largest number of tigers = 29
