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Stolb23 [73]
3 years ago
5

Subtract polynomials: (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

9514 1404 393

Answer:

  -5x^4 +6x^3 -x +3

Step-by-step explanation:

First, eliminate parentheses.

  (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

  = -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2

Then collect terms.

  = -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3

  = -5x^4 +6x^3 -x +3

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Joanna buys a table and 2 chairs

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Thus, cost price = $ 450

<em><u>She receives a 25% discount for being a preferred customer</u></em>

Therefore, discount = 25 % of cost price

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Thus, amount after discount = cost price - discount

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Thus, amount after discount is $ 337.5

<em><u>Then pays 6% sales tax on the discounted purchase price</u></em>

Sales tax = 6 % of 337.5

sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25

<em><u>Thus, total purchase price is given as:</u></em>

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

4 0
3 years ago
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Answer:

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or

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