Ok, lets visualize this scenario. We have a tank that is holding10450 ml of water. Then it tells use it is leaking at a rate of 270 ml per minute. Well, leaking would suggest something is being subtracted. Also, per minute means it is being subtracted each minutes so we use an x to represent the minutes. Ok, lets build the model
10450 - 270x = 0
The model above will tell us how many minutes it will take for the tank to be empty.
If we insert a number for x, the model below will tell us how many ml has leaked for the number of minutes we inserted into x.
10450 - 270x
Answer:
translate the road down 4 units
Hope this helps
As the rate of change of function is negative from x=1 to x=2, the function decreases at this interval.
Step-by-step explanation:
We have to find the rate of change of the function
The rate of change of function is given by:

Given function is:

Here
a =1
b = 2
So,

Putting the values in the formula

As the rate of change of function is negative from x=1 to x=2, the function decreases at this interval.
Keywords: Functions, rate of change
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
brainly.com/question/4142886
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