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Represent the following phrase as an algebraic expression, where "a number" is the letter [tex]x[/tex]. You do not need to simplify.

"The quotient of 3 and the cube of a number."

Answer: [tex]\frac{3}{x^3}[/tex]

Sagot :

GinnyAnswer
Sure, let's break down the phrase "The quotient of 3 and the cube of a number" step-by-step to form an algebraic expression:

1. Identify the number: In the problem, "a number" is represented by the variable [tex]\( x \)[/tex].

2. Cube of the number: The cube of [tex]\( x \)[/tex] is written as [tex]\( x^3 \)[/tex].

3. Quotient of 3 and the cube of a number: The word "quotient" implies a division. Therefore, we are dividing 3 by the cube of [tex]\( x \)[/tex].

Putting it all together, the algebraic expression that represents the phrase is:
[tex]\[ \frac{3}{x^3} \][/tex]

Thus, the answer is:
[tex]\[ \frac{3}{x^3} \][/tex]
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