Question

Graph the function y = 3 (5)^Z WHAT IS THE Y VALUE IF X EQUALS -6

Answer 1

It looks like there's a small typo in your query regarding the variable. The function you provided is \(y = 3(5)^z\), and you want to find the value of \(y\) when \(z = -6\).

To find \(y\) when \(z = -6\):

\[
y = 3(5)^{-6}
\]

Now, we can calculate \(5^{-6}\):

\[
5^{-6} = \frac{1}{5^6}
\]

Calculating \(5^6\):

\[
5^6 = 15625
\]

So,

\[
5^{-6} = \frac{1}{15625}
\]

Now substitute this into the equation for \(y\):

\[
y = 3 \left(\frac{1}{15625}\right) = \frac{3}{15625}
\]

Thus, the value of \(y\) when \(z = -6\) is:

\[
y = \frac{3}{15625}
\]

If you need a decimal approximation:

\[
y \approx 0.000192
\]

So, the final answer is:

\[
y = \frac{3}{15625} \quad \text{or approximately} \quad 0.000192.
\]