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erastova [34]
3 years ago
13

Mike buys four equally priceDVD's online each DVD cost the same amount with a 5.98 shipping charge included the total cost came

to 79.94 write a word equation you could use to find the cost of each DVD
Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

$79.94=4x+$5.98 or you could write it the other way 4x+$5.98=$79.94 either way you get same answer

Step-by-step explanation:

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Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
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The statements and their individual answers are not provided in the question. However, please check the explanation given below for the equation.

Step-by-step explanation:

  • The equation given is \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 }
  • Divide the leading term of the dividend by the leading term of the divisor: \frac{2x^{4} }{2x^{2} }  = x^{2}
  •  Multiply it by the divisor: x^{2} ({2x^{2} -3x +1) = 2x^{4} - 3x^{3} + x^{2}
  • Subtract the dividend from the obtained result: (2x^{4} + 7x^{3} + 18x^{2} + 11x - 2) - (2x^{4} - 3x^{3} + x^{2} ) = (10x^{3} + 17x^{2} + 11x -2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{10x^{3}}{2x^{2} }  = 5x
  • Multiply it by the divisor: 5x (2x^{2} - 3x + 1) = 10x^{3} - 15x^{2} + 5x
  • Subtract the remainder from the obtained result: (10x^{3} + 17x^{2} + 11x -2) - (10x^{3} - 15x^{2} + 5x) = (32x^{2} + 6x - 2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{32x^{2} }{2x^{2} } = 16
  • Multiply it by the divisor: 16 (2x^{2} - 3x +1) = 32x^{2} - 48x +16
  • Subtract the remainder from the obtained result: (32x^{2} + 6x - 2) - (32x^{2} - 48x +16) = 54x - 18
  • Since the degree of the remainder is less than the degree of the divisor, then we are done.
  • Therefore,  \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 } = (x^{2} + 5x +16 + \frac{54x - 18}{2x^{2}  - 3x +1})
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