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# Help

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A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27

Rewrite the formula in factored form and select each true statement below.

The swimmer comes back up 9 seconds after the timer was started.

The swimmer dives into the water 12 seconds after the timer was started.

The swimmer dives into the water 3 seconds after the timer was started.

The swimmer dives to a maximum depth of 27 feet.

The swimmer is underwater for 12 seconds.

Jun 6, 2022

#1
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h(t)  =  t^2  - 12t  + 27

Factored form

h(t)  = (t - 9) (t - 3)

Look at the graph here (in x  rather than t)  :   https://www.desmos.com/calculator/gug8sulzit

We can interpret this graph as follows

At t =  0 sec, the diver is  27 feet above  the water

At t = 3 sec, the diver hits the water

At t = 6 sec, the diver is  9 ft below the surface

At = 9 sec, the diver returns to the surface

True statements

The swimmer comes back up 9 seconds after the timer was started.

The swimmer dives into the water 3 seconds after the timer was started.   Jun 6, 2022