Question

What is the equation that represents the statement: "The sum of y and the cube of n is 6 less than the square of v"?

A) y + n³ = v² + 6
B) y - n³ = v² - 6
C) y + n³ = v² - 6
D) y - n³ = v² + 6

Answer 1

The correct equation that translates the given statement is y + n³ = v² - 6, which aligns with option C.

Step-by-step explanation:

The equation that represents the statement "The sum of y and the cube of n is 6 less than the square of v" is written as y + n³ = v² - 6.

To translate the statement into an equation, we start by identifying the mathematical operations mentioned in the statement: 'sum' signifies addition, 'cube' refers to raising to the power of 3, '6 less than' indicates subtraction, and 'square' means raising to the power of 2.

Putting these together in an equation aligns with option C: the sum (y + n³) and '6 less than' (subtracting 6) from the 'square of v' (v²).