Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Answer:
See picture for explanation.
Step-by-step explanation:
5x + 8 = 7x
8 = 7x - 5x
8 = 2x
8/2 = x
4 = x <== the number
Step-by-step explanation:
8-12x=-6(34x-2)+4
8-12x=204x-12+4
subtract 8 from both sides.
-12x=204x-20+4
-12 turned to -20 because we subtracted 8.
add 20+4
-12x=204x-24
subtract 204x from both sides
-216x=-24
divide by -216x
So I would say it has infinitely many solutions
Answer: 2
Step-by-step explanation:
Because 1 is a number which represents a singular object adding another one gives you the value of 2
