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)
Jessica pays a membership fee of $40
so that's given to us
<span>Jessica has a membership fee of $40 (given)
Nancy has a membership fee of $30 (y intercept of the equation)
</span>so how much is jessica going to pay is $10 more than Nancy
We know that
1 ft-----------> 0.3048 m
then
1 ft²---------> (0.3048)²------> 0.092903 m²
so
121 ft²----------> 121*0.092903----------> 11.24 m²
the answer is
11.24 m²
Answer: 4
Step-by-step explanation: it is 4 because there are a total of 4 different decimal places in the equation so if the equation was 1.2 times 1.2 you would decimal hop 2 times because there are to numbers behind the decimal
last one. because we don't have equality sign and it can't be the third one
