<h2>Adding Functions</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Before we can solve for , we need to know how is defined.
We can now solve for :
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
<em>Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92. </em>
<em>How many minutes would it take the printer to use all 92 sheets of paper?</em>
<em />
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
- Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92
To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
Divide both sides by 8
minutes
- Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paper
A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.
g(x) = a * x^2
Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.
8 = a * (4)^2
8 = a * 16
a = 1/2
All that's left to do is plug in our a value into g(x).
g(x) = 1/2 x^2
Hope this helps!! :)