Hannah and Sam are working on a coding project together. Hannah has created (7x +78) lines of
code, and Sam has written (6x + 73) lines.
Hannah has written 142 more lines of code than
Sam.
How many lines of code did Sam
write?

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?

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).

Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?