Answer:
The required function is and the graph of the function is shown below.
Step-by-step explanation:
It is given that A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.
It means the initial liquid in tank is 17 gallons and rate of change is 4 gallons per hour.
y-intercept is (0,18).
Slope is -4.
The liquid in tank is defined by the function
At y=0 the tank will empty.
The x-intercept is (4.5,0).
Therefore the required function is and the graph of the function is shown below.
Answer:
commutative property
Explanation:
This is known as the commutative property of addition (and multiplication).
An easy way to remember the property is that the two elements commute, or exchange places, or that one element commutes from one side of the operation to the other, like a commuter (passenger) on a commuter train.
a + b = b + a
1.
3.
4.
8. I can't see
One thing you want to make sure you do is move all terms with variables to one side and the constant terms to the other. It makes it so much easier to evaluate the variables once you do.
Answer: It will be explained below. Basically, 463.846154 minutes in total to read the rest of the book, and she reads at 78 pages per 90 minutes, or 13 pages per 15 minutes.
Step-by-step explanation: Shryia read 78 pages in 90 minutes - she had read 480-402, which is 78. This indicates a fairly annoying-to-calculate rate of 78 pages every 90 minutes, which is annoying to calculate, but please bear with it. The quantity of remaining pages is 402, of course, and as such we can simply divide this by 78 pages/90 minutes.
1. 402 pages divided by 78 pages/90 minutes
2. 402 pages multiplied by 90 minutes/78 pages (flipped the fraction; 90 minutes is now the numerator.)
3. 402 multiplied by 90 minutes/78 (reduced and removed the "pages" from each.)
4. 36180 minutes/78 (multiplied 402 to 90.)
5. 463.846154 minutes (divided 36180 by 78).
I hope this provides some insights.