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g100num [7]
2 years ago
10

Does the order of variables matter when combining like terms in algebra

Business
1 answer:
steposvetlana [31]2 years ago
4 0
Answer: No
The order of variables does not matter when combining like terms in algebra, because of the commutative property.

Explanation:
Consider the addition of two algebraic expressions.
f(x) = x³ - 5x² + 3x - 2
g(x) = 6x³ + 10x² - 7x + 9

Add f(x) and g(x).
f(x) + g(x) = x³ - 5x² + 3x - 2 + (6x³ + 10x² - 7x + 9)
                = x³ + 6x³ - 5x² + 10x² + 3x - 7x - 2 + 9
                = 7x³ + 5x² - 4x + 7

Now add g(x) and f(x) in order to change the order of variable addition.
g(x) + f(x) = 6x³ + 10x² - 7x + 9 + (x³ - 5x² + 3x - 2)
                = 6x³ + x³ + 10x² - 5x² - 7x + 3x + 9 - 2
                = 7x³ + 5x² - 4x + 7

The two additions yield the same result, although the order of variable was reversed during the addition.

In general, algebraic operations are commutative.
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private placements are cheaper to market than public issues

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In which document can the project manager (pm) find guidance for implementing earned value management (evm) contract management
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2 years ago
SafeRide, Inc. produces air bag systems that it sells to North American automobile manufacturers. Although the company has a cap
iogann1982 [59]

Answer:

SafeRide, Inc.

a. The financial implications of accepting the order are that total production cost will increase by $315,000 with a corresponding increase in sales revenue of $540,000, and an increase in net income by $225,000.

b. Under full capacity, the total production cost will increase by $1,485,000 for adding additional facilities while the sales revenue would increase by $540,000, resulting to a loss of $945,000.

c. Under full-capacity circumstances, there is a financing disadvantage of accepting the order because the order will entail additional capacity and facilities, resulting to a loss of $945,000.

Explanation:

Annual production capacity = 300,000 units

Current production capacity = 180,000 units

Special order from a German manufacturer = 60,000 units

Special order price per unit = $9.00

Budgeted Costs For      180,000 Units  240,000 Units  Difference 60,000

Manufacturing costs

Direct materials                 $450,000           $600,000       $150,000

Direct labor                           315,000             420,000          105,000

Factory overhead              1,215,000           1,260,000           45,000

Total                                  1,980,000          2,280,000       $300,000

Selling and administrative 765,000              780,000            15,000

Total                              $2,745,000        $3,060,000        $315,000

Costs per unit

Manufacturing                       $11.00                  $9.50

Selling and administrative       4.25                     3.25

Total                                     $15.25                  $12.75

Selling price to North American manufacturers = $20 per unit

Financial implications of accepting the order:

Manufacturing costs

Direct materials                  $150,000

Direct labor                           105,000

Factory overhead                  45,000

Total                                  $300,000

Selling and administrative    15,000

Total                                  $315,000

Total cost per unit = $5.25 ($315,000/60,000)

Total manufacturing cost per unit = $5 ($300,000/60,000)

Increase in net income from accepting the order = $225,000 ($9.00 - $5.25) * 60,000

Manufacturing costs

Direct materials                  $150,000 (variable)

Direct labor                           105,000 (variable)

Factory overhead              1,215,000

Total                                $1,470,000

Selling and administrative    15,000 (assumed to be variable)

Total                               $1,485,000

Unit cost per additional unit = $24.75

4 0
3 years ago
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monitta

Answer:

c rose by 3 percent.

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Real income = nominal income - changes in price level

4.6 % - 1.6% = 3%

I hope my answer helps you

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In other to be able to conduct a work flow analysis and defines the outputs of the process, she needs to defines the type of products that will need to be manufactured.

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In conclusion, she needs to defines the type of products that will need to be manufactured.

Read more about product mission

<em>brainly.com/question/1687404</em>

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