Answer:
2m+8
Step-by-step explanation:
6.)17/12 7.)9/10 8)1 1/6 9.)1 3/8 10.)7/6 11.)7/10 12.)1 1/8
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)
Hey their,
3/4
1/4
1/12
1/36
0/60
The pattern is -1/x every 2 +x/8
How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12
Hopethis helped
Answer:
1/2
Step-by-step explanation:
Blue + yellow = 3 + 2 = 5 out of 10 slices
5 out of 10 = 5/10 = 1/2
