Arrange these numbers from least to greatest: 2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3. a. 2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3 b. − 3 over 7 comma text end text 2 over 5 comma text end text 2 over 3 c. − 3 over 7 comma text end text 2 over 3 comma text end text 2 over 5 d. 2 over 5 comma text end text 2 over 3 comma text end text text end text − 3 over 7

You are at a restaurant and owe $56.20 for your meal. you want to leave an 18% tip. approximately how much is your tip?

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).

Eiko is wearing a magic ring that increases the power of her healing spell by 30%. without the ring, her healing spell restores h health points. which of the following expressions could represent how many health points the spell restores when eiko is wearing the magic ring?