For each pair. of expressions below without substituting in specific values ,determine which of the expressions in the given pairs is larger .explain your reasoning in a sentence or two. 5+t^2 and 3-t^2.

15/×^2+6 and 15/x^2 +7.

(s^2+2) (s^2+1) and (s^2+4)(s^2 +3)

8/k^2+2 and k^2+2

the supermassive black hole is in the middle of the galaxy.

it provides an alternative energy pathway for the reaction to proceed.

a catalyst is a substance that speeds up the rate of a chemical reaction but is not consumed during the course of the reaction.

catalysts increase the rate of reaction without being used up. they do this by lowering the activation energy needed. with a catalyst, more collisions result in a reaction, so the rate of reaction increases. different reactions need different catalysts.

a catalyst works by providing an alternative reaction pathway to the reaction product. the rate of the reaction is increased as this alternative route has a lower activation energy than the reaction route not mediated by the catalyst.

japan is the correct anwser because i already took the test and i passed it