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

$43.6\ +\ 14.3\ =\ m$

$m\ =\ 57.9$

(10. in the figure, a aabc is drawn tocircumscribe a circle of radius 3 cm ,such thatthe segments bd and dc are respectively oflength 6 cm and 9 cm. find the length ofsides ab and ac.

Arectangle has a length of 6cm by 8cm what is the length of a diagonal of the rectangle

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0