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g100num [7]
3 years ago
10

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

Business
1 answer:
steposvetlana [31]3 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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bixtya [17]

Answer:

4000x70=280000

5350x62=331700

7542x49=369558

add that all up to get $981258

Hope this helps!

6 0
3 years ago
Gilberto Company currently manufactures 84,000 units per year of one of its crucial parts. Variable costs are $2.90 per unit, fi
RoseWind [281]

Answer:

Cost to make $337,600

Cost to make $344,400

The company should make the product

Explanation:

Calculation to determine the total incremental cost of making 84,000 and buying 84,000 units

COST TO MAKE

Relevant per unit Relevant fixed cost Total relevant cost

Variable cost per unit $2.90 - $243,600(84000*$2.90)

Fixed manufacturing costs - $94,000 $94,000

Cost to make $337,600

($243,600+$94,000)

COST TO BUY

Relevant per unit Relevant fixed cost Total relevant cost

purchase per unit $4.10 - $344,400[$4.10*84000]

Cost to make $344,400

Based on the above calculation the cost of buying is higher than the cost of making therefore the company should MAKE the product.

5 0
3 years ago
Suppose the price of a bag of tortilla chips decreases from $3.00 to $2.50 and, as a result, the quantity of tortilla chips dema
Tresset [83]

Answer:

2.20

Explanation:

The Price elasticity will be:

Δdemand/ΔPrice

<u>The mid point is used to calculate the increases.</u>

Δdemand = ΔQ/midpointQ

(Q2+Q1)/2 = mid point quantity = (300+ 200)/2 = 250

ΔQ = 300-200 = 100

Δdemand = 100/250 = 0.4

<u>Same procedure is applied with the Price numbers:</u>

Δprice = ΔP/midpointP

(P2+P1)/2 = mid point price = (3+ 2.5)/2 = 2.75

ΔP = 2.5-3 = 0.5

Δprice = 0.5 / 2.75 = 0.181818

FInally we calculate the price elasticity:

Δdemand/ΔPrice

0.4/0.1818181818 = 2.2

4 0
4 years ago
At the end of the year, the deferred tax asset account had a balance of $4 million attributable to a temporary difference of $16
Alex

Answer:

1 . Dr ncome tax expense 7

Dr Deferred tax asset 4

Cr Income tax payable 11

2. Dr Income tax expense3

Cr Valuation allowance-Deferred tax asset3

Explanation:

Preparation of Journal entries

JournalDebitCredit

(In million)

1 . Dr ncome tax expense 7

($11-$4=7)

Dr Deferred tax asset 4

($16× 25% = $4)

Cr Income tax payable 11

($44 × 25% = $11 )

2. Dr Income tax expense3

Cr Valuation allowance-Deferred tax asset3

(3/4 × $4) = $3 million

Deferred tax asset= ($16× 25%)

Deferred tax asset= $4 million

Income tax payable= ($44 × 25%)

Income tax payable= $11 million

5 0
3 years ago
You will give the keynote address at the annual meeting of the American Manufacturing Association. You realize most of the atten
frozen [14]

Answer:

<em>Explained Below.</em>

Explanation:

Marketing is just not the process of advertising but it is the process<em> </em>to<em> create or originate</em> goods and products, then to <em>distribute </em>the product widely as much as possible, and also pricing goods, and giving <em>services</em> to the consumer who is particularly using that product, and <em>new ideas</em> which facilitate and satisfies exchange connection with the consumer of the product.

4 0
4 years ago
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