Emily has three bags of different types of beads. She wants to split up the beads into mixed packages to share with her
friends. She wants each package to have exactly the same
number of each type of bead with no beads left over.
1 What is the greatest number of packages that Emily can assemble? Describe the
collection of beads in each package

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30

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).

If two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent