Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11. fill in the missing coordinate in each ordered pair so that the pai…

Question

  1. fill in the missing coordinate in each ordered pair so that the pair is a solution of $y = -3^x$. 11a $(4, \square)$

Explanation:

Step1: Identify the given values

We have the ordered pair \((4, \square)\) and the equation \(y = -3^{x}\). Here, \(x = 4\) and we need to find \(y\).

Step2: Substitute \(x = 4\) into the equation

Substitute \(x = 4\) into \(y=-3^{x}\), we get \(y=-3^{4}\).

Step3: Calculate \(3^{4}\)

We know that \(3^{4}=3\times3\times3\times3 = 81\).

Step4: Find the value of \(y\)

Since \(y=-3^{4}\) and \(3^{4} = 81\), then \(y=-81\).

Answer:

\(-81\)