Graph the function y=3(5)x

Question

. What is the y-value if x=−6
?

Answer 1

To find the $y$-value of the function $y=3(5{)}^x$ when $x=-6$, we can substitute $-6$ into the function.

1. Calculate $(5{)}^{-6}$: $$(5{)}^{-6}=\frac{1}{(5{)}^6}$$ Now calculate $(5{)}^6$: $$(5{)}^6=15625$$ Therefore, $$(5{)}^{-6}=\frac{1}{15625}$$

2. Substitute back into the function: $$y=3(5{)}^{-6}=3\cdot \frac{1}{15625}=\frac{3}{15625}$$

So, the $y$-value when $x=-6$ is: $$y=\frac{3}{15625}$$

If you need this value as a decimal, you can compute: $$\frac{3}{15625}\approx 0.000192$$

Thus, the $y$-value when $x=-6$ is approximately $0.000192$ or exactly $\frac{3}{15625}$.

Answer 2

Wrong bot