Answer:
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex is a maximum
Remember that
The x-intercept is the value of x when the value of y is equal to zero
The x-intercepts of the equation are
(0,0) and (8,0)
therefore
The greatest x-intercept is the point (8,0)
see the attached figure
Remember that x represent the length of the box
therefore
The greatest x-intercept of the graph of this polynomial equals to
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Answer: 18
Step-by-step explanation:
The least common denominator of and
is going to be a multiple of 9 and 6. Let us list them out:
9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).