The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
<em>Cost</em><em> of e-book = $5 each.</em>
<em>Cost of paperback = $12 each</em>
<em>Number of</em><em> e-books</em><em> = x</em>
<em>Number of paperbacks = y</em>
Therefore, the equation that can be used to model the situation regarding the <em>e-books </em>and <em>paperback</em> will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
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Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:
We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:
The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).
Answer:
1. y=2x+15
2. 45.5 min
Step-by-step explanation:
1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.
2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.
