Question

Which statement about 9(x) = x* - 576 is true?

The zeros, - 288 and 288, can be found when 0 - (x + 288)(x - 288).
The only zero, 288, can be found when 0 = (x- 288) -
The zeros, -24 and 24, can be found when 0 = (x + 24)(x - 29)-
The only zero, 24, can be found when 0 = (x - 24)°.

Answer 1

The correct statement about the equation 9(x) = x* - 576 is:

B. The only zero, 288, can be found when 0 = (x - 288).

To solve for the zeros of the equation, we need to find the values of x that make the left-hand side of the equation equal to zero.

9(x) = x* - 576 can be rewritten as:

9x - x* = 576

Factoring out x from the left-hand side, we get:

x(9 - x*) = 576

To find the zeros, we set the equation equal to zero and solve for x:

0 = x(9 - x*)

This means that either x = 0 or 9 - x* = 0.

If 9 - x* = 0, then x* = 9, which means that x = 288.

Therefore, the only zero of the equation is 288, and it can be found when 0 = (x - 288).

None of the other options accurately represent the zeros of the equation. Option A provides the incorrect zeros of -288 and 288 and is missing a term. Option C provides incorrect zeros of -24 and 29 and is also missing a term. Option D provides the incorrect zero of 24 and is missing a term.