Is the positive integer p a multiple of 50? p is a multiple of 10 p is a multiple of 5 statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question asked both statements (1) and (2) together are sufficient to answer the question asked; but neither statement alone is sufficient each statement alone is sufficient to answer the question asked statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem are needed

Bradley hikes 12 miles in 3 hours. in relation to bradley’s hike, which statement describes the expression

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

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).