All good answers above. You might also try the lock out safety function. The car must be in Park (maybe neutral) before it will crank. With the key held in "start" position try jiggling the shift lever back and forth fairly hard while in Park. Foot on the brake. Other than this, consider paying a mechanic to run a full diagnostic test. It will cost you, but not as much as the battery and starter. I agree that batteries and alternators have been faulty right out of the box so have them checked. Also you will find on the Web some sites where for a small fee you are connected with a mechanic who specializes in your brand of car. My wife's BMW had an issue in the drivetrain that the dealer could not figure out. I found a site for BMW mechanics, paid something like $35-45 and had a correct diagnosis in minutes. Be careful that you do not sign up for a monthly "service", just a one time deal. DId you or a friend put in the battery and alternator? If you paid a mechanic he should have got the car running one way or another. Go to AutoZone for example and look for a manual for your car. These are very detailed and help with diagnosing things. $20 bucks or so. Good Luck!
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