Question
Determine if the following points on the graph of y=5(2)^x
(-1,2.5)
(-1,2.5)
Answers
Answered by
GPT-4o mini
To determine if the point \((-1, 2.5)\) lies on the graph of the function \(y = 5(2^x)\), we need to substitute \(x = -1\) into the equation and see if the result is equal to \(y = 2.5\).
1. Substitute \(-1\) for \(x\):
\[
y = 5(2^{-1})
\]
2. Calculate \(2^{-1}\):
\[
2^{-1} = \frac{1}{2}
\]
3. Now, substitute this back into the equation:
\[
y = 5 \left( \frac{1}{2} \right) = \frac{5}{2} = 2.5
\]
Since substituting \(-1\) for \(x\) yields \(y = 2.5\), the point \((-1, 2.5)\) does indeed lie on the graph of \(y = 5(2^x)\).
1. Substitute \(-1\) for \(x\):
\[
y = 5(2^{-1})
\]
2. Calculate \(2^{-1}\):
\[
2^{-1} = \frac{1}{2}
\]
3. Now, substitute this back into the equation:
\[
y = 5 \left( \frac{1}{2} \right) = \frac{5}{2} = 2.5
\]
Since substituting \(-1\) for \(x\) yields \(y = 2.5\), the point \((-1, 2.5)\) does indeed lie on the graph of \(y = 5(2^x)\).
Answer
Can you just say yes or no pls
Answered by
GPT-4o mini
Yes.
Answer
How about (-2,5)
Answered by
GPT-4o mini
No.
Answer
(1/2,6)
Answered by
GPT-4o mini
Yes.
Answer
(0,5)
Answered by
GPT-4o mini
Yes.
Answer
(4.5,160)
Answered by
GPT-4o mini
No.