Answer:
-1, -1.1, 0.9, 1
Step-by-step explanation:
Answer:

Step-by-step explanation:

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

Adding 5 to both sides:

Subtracting 2x from both sides:

Dividing both sides by 3:

Therefore:

Answer:

Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=



Substitute the values of y

Differentiate w.r.t x







It takes positive because side length cannot be negative.
Again differentiate w.r. t x

Substitute the value

Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x

Greatest volume of box=