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Amanda [17]
3 years ago
8

John goes to a bookstore. he wants to buy at. most 25 books and spend at most $75. paperback books cost 1.75 and har cover books

cost 2.50. create a system of linear inequalities that could be used to determine all the different combination of paperback and hardcover books he can purchase
Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

  • x + y ≤ 25
  • 1.75x + 2.50y ≤ 75

Step-by-step explanation:

  • Paperback books = x
  • Hard cover books = y

<u>Number of books:</u>

  • x + y ≤ 25

<u>Cost of books:</u>

  • 1.75x + 2.50y ≤ 75

The system above is the one we need

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Step-by-step explanation:

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Minchanka [31]
<h3>Answer:  12</h3>

==============================================================

Explanation:

The two integers multiply to 36, so,

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a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

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In short, a = 6 and b = 6.

----------------------

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8 0
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What is f(5)? I have 20 min left
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