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Ilia_Sergeevich [38]
2 years ago
14

Part A

Mathematics
1 answer:
Ahat [919]2 years ago
8 0

The augmented matrix for the system is:

\left[\begin{array}{cccc}3&1&1&43.75\\1&3&2&27.75\\2&2&1&34\end{array}\right]

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

For our system, we suppose that x is the number of tickets, y is the number of drinks and z is the number of bags of popcorn.

Devin bought <u>three tickets, one drink, and one bag of popcorn for $43.75.</u>

This means that:

3x + y + z = 43.75

Neil bought <u>one ticket, three drinks, and two bags of popcorn for $27.75</u>.

This means that:

x + 3y + 2z = 27.75

Jung bought <u>two tickets, two drinks, and one bag of popcorn for $34.</u>

This means that:

2x + 2y + z = 34

The system is:

3x + y + z = 43.75

x + 3y + 2z = 27.75

2x + 2y + z = 34

Which is represented by the following augmented matrix:

\left[\begin{array}{cccc}3&1&1&43.75\\1&3&2&27.75\\2&2&1&34\end{array}\right]

A similar problem is given at brainly.com/question/13266649

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Answer:
Option b

Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.

Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.

y = 3x + 1
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y = 3x + 1
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Since the second ordered pair does not make the equation true, this is not the correct answer.

Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.

y = 3x + 1
1 = 3(0) + 1
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y = 3x + 1
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Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.

Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.

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Answer:

Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle.  Pascal's Triangle is an arithmetical triangle you can use for some neat things in mathematics.

The entries in Pascal's triangle are actually the number of combinations of N take n where N is the row number starting with N = 0 for the top row and n is the nth number in the row counting from left to right where the n = 0 number is the first number.

The mathematical formula for the number of combinations without repetition is N!/(n!(N-n)!).

Step-by-step explanation:

To construct Pascal's triangle, start with a 1. Then, in the next row, write a 1 and 1. It's good to have spacing between the numbers. In the third row, we have 1 and 1 on the outside slopes. The 2 comes from adding the two numbers above and adjacent. Thus, we are adding the number on the left, 1, with the number on the right, 1, to get 1 + 1 = 2.

In the next row, the 3 comes from adding the 1 and the 2. This particular Pascal's triangle stopped at 1 5 10 10 5 1, but we could have continued indefinitely.

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