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8. Sue removes the plug from a trough to drain the water inside. The
volume, in gallons, in the trough after it has been unplugged can be
modeled by 4t^2 – 32t+ 63, where t is time, in minutes.

A.
Select the correct property that will give Sue the amount of time it
takes the trough to drain.
A. minimum
B. maximum
C. y-intercept
D. zero

B.
Select the expression that will reveal the property.
A. 4(0)^2 – 32(0) + 63
B. (2t– 7) (2t– 9)
C.4(t– 4)^2 – 1
D. 4(t– 8)^2 + 47

Respuesta :

PART A:

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the volume, in gallons, in the trough after it has been unplugged can be modelled by

[tex]4t^2 - 32t+ 63[/tex]

Where, t is time, in minutes.

It is a quadratic function with positive lending coefficient. It means it is an upward parabola.

The minimum value represents the minimum volume at time t.

Since it is an upward parabola, therefore it has no maximum point.

y-intercept represents the initial volume in gallons.

Zero represents the time at which the volume is 0 or the time in which trough is drained.

Therefore the correct option is D.

PART B:

Corrct  answer is B. [tex](2t- 7) (2t-9)[/tex]

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