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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(x) = ² - 14t+40.
4
Rewrite the formula in factored form and select each true statement below.
The swimmer dives to a depth of 14 feet.
The swimmer dives into the water 4 seconds after the timer was started.
The swimmer dives to a depth of 40 feet.
The swimmer comes back up 10 seconds after the timer was started.
The swimmer comes back up 40 seconds after the timer was started.


Sagot :

The true statement about the equations include:

  • The swimmer dives to a depth of 14 feet.
  • The swimmer comes back up 10 seconds after the timer was started.

How to solve the equation?

The equation given is h(t) = t² - 14t + 40. We'll factorize to get the value of t. This will be:

= t² - 14t + 40

= t² - 10t - 4t + 40

= t(t - 10) - 4(t - 10)

(t - 10) = 0.

t = 0 + 10

t = 10

In this case, the swimmer dives to a depth of 14 feet and then comes back up 10 seconds after the timer was started.

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