Tania is riding a train for $43.6$ miles to get to her destination. The train has $14.3$ more miles to travel before arriving at Tania's destination.

Which equation and solution correctly represent how many miles, $m$ , the train has already traveled?

A
$m\ +\ 14.3\ =\ 43.6$

$m\ =\ 29.3$

B
$m\ +\ 43.6\ =\ 14.3$

$m\ =\ 29.3$

C
$m\ +\ 14.3\ =\ 43.6$

$m\ =\ 57.9$

D
$43.6\ +\ 14.3\ =\ m$

$m\ =\ 57.9$

According to the number line, what is the distance between points a and b? v ++ + + + + -16 -14 -12 -10 -8 + 6 + 4 + -2 + 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 o6 units o 7 units 12 units o 14 units

Place the following steps in order to complete the square and solve the quadratic equation,

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).