Question

Use any method to locate the zeros of y = -3x + 12x + 15

Answer 1

First, let's rewrite the expression for \( y \):

\[
y = -3x + 12x + 15
\]

Combine like terms:

\[
y = (12x - 3x) + 15
\]
\[
y = 9x + 15
\]

Now, we want to find the zeros of the function, which means we set \( y = 0 \):

\[
0 = 9x + 15
\]

To solve for \( x \), we can isolate \( x \) by first subtracting 15 from both sides:

\[
-15 = 9x
\]

Next, divide both sides by 9:

\[
x = -\frac{15}{9}
\]

Now, simplify the fraction:

\[
x = -\frac{5}{3}
\]

Thus, the zero of the function \( y = -3x + 12x + 15 \) is:

\[
\boxed{-\frac{5}{3}}
\]