We want to determine the domain of
![{y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x](https://tex.z-dn.net/?f=%7By%3D3%20%5Ccdot%202%5E%7B-x%7D%3D3%20%5Ccdot%20%28%7B2%5E%7B-1%7D%7D%29%5Ex%3D3%20%5Ccdot%20%28%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%29%5Ex)
any function of the form
![y=f(x)=a \cdot b^x](https://tex.z-dn.net/?f=y%3Df%28x%29%3Da%20%5Ccdot%20b%5Ex)
is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.
The domain of such functions is all real numbers.
That is for any x, the expression <span>3(2^-x) "makes sense".
Answer: </span><span>The domain is all real numbers</span>
answer:
2.5 or 2 1/2
work:
4(joshuas friends)+1(joshua)=5
5×1/2=5/2
5/2= 2.5
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
Answer: C
Step-by-step explanation:
It looks like the first and the third are diagrams of similar triangles, and the third needs another right angle marker at E to be persuasive. So I'll go with
First diagram
We're given a congruent angle pair and we have another from vertical angles, so AA, similar triangles.