Answer:
Quadrant 1 (1,5)
Step-by-step explanation:
Composition function rule (f○g)(x) = f(g(x))
<em><u /></em><u>Given the separate functions</u>:
and
At most it will have 1 x-intercept
It would be 35 because we can assume that both y’s on the left side are parallel to the right side, and so they would have to be a 35 on each side
The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
