Use with or without an object refers to a verb's transitivity.
A verb with an object -- specifically, a direct object -- is used transitively and is in this circumstance called a transitive verb. The direct object is the noun or noun phrase which is affected by the action:
Mary walked the cat. ... cat is the direct object.
John is studying English. ... English is the direct object.
Don't hassle me. ... me is the direct object. The sense is "harass".
A verb without an object is used intransitively, and is called intransitive:
Mary walked to town ... Mary doesn't affect another person or thing.
John is studying. ... John doesn't affect another person or thing.
Boys, don't hassle. ... Although the boys are presumably affecting each other, they don't affect anyone else. The sense is "quarrel".
Some verbs take two objects, a direct object and an indirect object. The indirect object is the noun or noun phrase which receives the action or for whose benefit is done. These verbs are used bitransitively.
John gave Mary a book. ... book is the direct object, Mary is the indirect object.
Bob told me his story. ... story is the direct object, me is the indirect object.
Note that object in all of these is syntactic category, not a semantic category:
The story was told by Bob. ... Although story is affected by the action, it is not the object of the verb but its subject, because this sentence is in passive voice.
Our childhood experiences have made us what we are.
Us is the direct object.
What we are is the object complement. It complements or "completes" the direct object.
Yes, what we are is a noun phrase.
An object complement can be a noun, noun phrase, pronoun, or adjective.
Verbs such as make and create, and those such as name, call, and label often have object complements.
I named my daughter.
I named my daughter Alice.
The other students called April smart.
Josephine painted her elephant pink.
We elected Obama president.
The cats considered the dry food poison.
The witness called everything he saw a complete mess.
What distinguishes the direct object from the object complement?
The direct object takes the action of the verb. It comes before any object complement. To identify the direct object of a sentence, find the verb and ask "verb what?" or "verb who?" See this page.
Everything in bold is a direct object.
The object complement comes after the direct object. The words in italics are object complements.
Note that the order of words can change which noun is the direct object and which is the object complement. D.O. comes first.
I called my daughter Alice.
I called who?
I called my daughter. DO is my daughter.
Alice is OC.
I called Alice my daughter.
I called who?
I called Alice. DO is Alice.
my daughter is OC.
The city planners considered the plan amazing beyond belief.
Josephine found the homework she had done lying in the trash can.
Josephine found what?
the homework she had done is D.O. lying in the trash can is object complement.
Our childhood experiences have made us what we are.
Made who?
Made us (direct object)
what we are is object complement.
This page has more examples.
Best Answer
The construction you’re using is idiomatic, although “basic” isn’t a word I’d expect to hear in that context in American English. However, the phrase elides some words that are implied by the statement. When one says “You pay tax at the basic rate,” what’s really meant is something like:
In this case, the payee is the cashier or taxing authority, not the thing being purchased. I think the advice could be clearer, as it’s true that “tax” is neither the payee nor the object you’re buying, but “pay tax” or “pay a/the toll” are certainly phrases an American English speaker like myself would say in the right context.
In other words, you pay tax on/for something, or to someone. In comparison, phrases like “I pay clothes” or “I pay lunch” would sound very odd to a native speaker.