Six equilateral triangles are connected to create a regular hexagon. the area of the hexagon is 24a2 – 18 square units. which is an equivalent expression for the area of the hexagon based on the area of a triangle?
a. 6(4a2 – 3)
b. 6(8a2 – 9)
c. 6a(12a – 9)
d. 6a(18a – 12)

What is the mean of the data set 125, 141, 213, 155, 281

How many zeros does this polynomial function, y=(x-8)(x+3)^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).