Az internet-előfizetés új.

Both a and az mean the. Hungarian chooses between them based on the following sound:

• a before a consonant sound
• az before a vowel sound

Since internet-előfizetés starts with i, Hungarian uses az: az internet-előfizetés.

In Hungarian, the verb to be is usually omitted in the present tense, third person when you are saying that something is something or is a certain way.

So:

• Az internet-előfizetés új. = The internet subscription is new.

This is completely normal Hungarian. English needs is, but Hungarian does not here.

Because here új is not just an adjective inside a noun phrase; it is the predicate adjective of the sentence.

Compare:

• az új internet-előfizetés = the new internet subscription
• Az internet-előfizetés új. = The internet subscription is new.

So when új comes before the noun, it directly modifies it. When it comes after, it is part of the statement about the noun.

It is a compound noun:

• internet = internet
• előfizetés = subscription

So internet-előfizetés means internet subscription.

Hungarian very often combines words like this to make one longer noun.

The hyphen shows that the two parts belong together as one compound term. For a learner, the important thing is to read internet-előfizetés as one noun, not as two separate words in the sentence.

So the structure is:

• Az internet-előfizetés = the internet subscription
• új = new

Hungarian has no grammatical gender, so új does not change for masculine/feminine/neuter the way adjectives do in many European languages.

In this sentence, the subject is singular, so the adjective stays in its basic form: új.

If the subject were plural, Hungarian would usually show that:

• Az internet-előfizetések újak. = The internet subscriptions are new.

So there is no gender agreement, but number can matter.

Yes, but the emphasis changes.

The neutral version is:

• Az internet-előfizetés új.

If you say:

• Új az internet-előfizetés.

that puts more focus on új. It is a bit like stressing new in English.

Hungarian word order is often flexible, but that flexibility is tied to focus and emphasis, not randomness.

It is in the nominative, the basic dictionary form. Hungarian subjects usually appear with no special ending, and that is what you see here.

So:

• internet-előfizetés = subject, basic form
• új = predicate adjective, also in its basic singular form

There is no case ending here because nothing in the sentence requires one.