<span>√24-x
=</span><span>√24-6
</span>=<span>√18
=</span>√9 . <span>√2
= 3</span><span>√2</span>
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)
Answer:
2 layers of cubes
Step-by-step explanation
ignore this my answer was wrong sorry
Yes the equation can be solved by factoring. Using the given equation take the square root of both sides. Both 169 and 9 are perfect squares so the left side becomes plus or minus 13/3 which is rational. Six plus 13/3 is also a rational number. If the solutions of a quadratic equation are rational then the equation is factorable. Please mark a good rating and brainlest
Answer:
46?
Step-by-step explanation:
