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inna [77]
3 years ago
6

Without graphing, tell whether the point (10, 37) is on the graph of y = 3x + 7.

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer: YES

Plug in the numbers in your head.

y=3(10)+7

y=30+7

y=37 which is the y intercept

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A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
What two positive real numbers whose product is 7272 have the smallest possible​ sum?
nadezda [96]
\sqrt{7272} and \sqrt{7272}, or as a rounded decimal 85.28 and 85.28. 

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number. 

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101. 
3 0
3 years ago
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