The Hornets (2-3, 1-0 Big Sky) jumped ahead late in the second quarter as Safron threw a 15-yard touchdown to Carter with just over a minute remaining, then recovered a punt at the 15 and Safron found Carter again to take a 14-0 halftime lead.
Sacramento State pulled away in the third quarter as Safron connected with Chris Broadnax for a 16-yard touchdown.
The Wildcats (1-4, 0-1) responded with a field goal, but Safron answered, hitting Carter with a 51-yard scoring strike.
Safron was 25-of-31 with 288 yards and an interception and Carter finished with eight catches for 148 yards.
The victory was the Hornets' first in Ogden as they had loss their previous eight games at Weber State.
Peyton Manning was among the former Tennessee players who praised and roasted Phillip Fulmer, who led the Volunteers to the 1998 national title.
J.P. Urquidez, the No. 17-rated offensive tackle in the ESPN 300, has signed with the Texas Longhorns after being released from his commitment to Baylor.
The SEC says it is closely monitoring its Twitter account after a hack led the league to post a couple images of scantily clad women Saturday morning.
Baylor and ex-coach Art Briles acknowledged "serious shortcomings" Friday night in a statement announcing that the sides have mutually agreed to terminate his employment.
Wyatt Davis is a physical offensive lineman who can provide some versatility to Ohio State.
Zachary Carter provides Florida with needed depth on the defense side. He can develop into a versatile defensive lineman.