Mr Campbell has a jar on his desk that contains 1o0 marbles . At the end of class, each student draws a marble from the jar without looking, notes the color, and then puts it back in the jar. If a student draws the red marble , the student gets a pass on that day's homework. How can the students determine the probability of drawing the red marbles ?

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).

The bottom of a vase is a square.each side measury y+11 units.the square has a perimeter of 55 units what is the value of y?

5. divide and simplify if possible. √250x16√2x 6. what is the solution of the equation? √2x+13−5=x