Aclass is divided into 4 groups. a bag contains pieces of paper that are red, blue, green, and yellow. for every blue- or green-colored piece of paper, there are 2 red- and 2 yellow-colored pieces of paper. the students are asked to pick a piece of paper to be put into a particular colored group. what is the probability that the first student will randomly pick a red-colored piece of paper or a blue-colored piece of paper?

Write an equation of the line given the two points below (write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6, -4)

Ageologist had two rocks on a scale that weighed 4.6 kilograms together. rock a was 0.5 of the total weight. how much did rock a weigh?

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).