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Mathematics, 15.04.2021 18:40 91miketaylor
David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost
after the discount, in dollars, by evaluating 295 - 295(0.40). His brother Michael finds the
same cost by evaluating 295(1 - 0.40). What property can be used to justify that these two
expressions represent the same cost after the discount?
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Answers: 2
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Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).
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David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost
after the...
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