X > -4 is the answer if you solve for x.
Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
1st one that I can possibly think behind my brain: 326/1000 or simplified is 163/500
2nd: Three hundred and twenty six thousandths
Hope it helps! Happy Halloween!
The number of seconds it takes for the waste to hit the ground for the given function is: 5 seconds.
<h3>How to Evaluate a Function?</h3>
We are given the function of height to time as, h(t) = -16t² + initial height, and we have the following:
- h(t) = 0 (height of the ground is 0)
- t = seconds the waste takes to height the ground
- Initial height = 400 feet
Plug in the values into the equation of the function
0 = -16t² + 400
Solve for t
0 - 400 = -16t²
-400 = -16t²
-400/-16 = t²
400/16 = t²
√(400/16) = t
20/4 = t
5 = t
t = 5
The number of seconds it takes is: 5 seconds.
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