There are 300 students in a twelfth grade high school class. 120 of these students have at least one sister and
100 have at least one brother. Out of the students that have at least one brother, there are 40 who have at least
one sister and one brother.
Let A be the event that a randomly selected student in the class has a sister and B be the event that the
student has a brother. Based on this information, answer the following questions.

Marya wants to factor the polynomial 36x^3 -22x^2 - 144x.which term can she add to the polynomial that would not change its grestest common factor? check all that apply

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2

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).