Answer:
or ![$ x = 2 $](https://tex.z-dn.net/?f=%24%20x%20%3D%202%20%24)
Step-by-step explanation:
Given:
![$ f(x) = 2x \hspace{5mm} \& \hspace{5mm} g(x) = 2^x $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%202x%20%5Chspace%7B5mm%7D%20%5C%26%20%5Chspace%7B5mm%7D%20g%28x%29%20%3D%202%5Ex%20%24)
We are to find the values of
such that these two functions are equal.
Substitute
.
We get ![$ f(x) = 2(1) = 2 \hspace{5mm} \& \hspace{5mm} g(x) = 2^{(1)} = 2$](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%202%281%29%20%3D%202%20%5Chspace%7B5mm%7D%20%5C%26%20%5Chspace%7B5mm%7D%20g%28x%29%20%3D%202%5E%7B%281%29%7D%20%3D%202%24)
Hence for
we have the functions to be equal.
Now for ![$ x = 2 $](https://tex.z-dn.net/?f=%24%20x%20%3D%20%202%20%24)
![$ f(2) = 2(2) = 4 \hspace{5mm} \& \hspace{5mm} g(2) = 2^{(2)} = 4 $](https://tex.z-dn.net/?f=%24%20f%282%29%20%3D%202%282%29%20%3D%204%20%5Chspace%7B5mm%7D%20%5C%26%20%5Chspace%7B5mm%7D%20g%282%29%20%3D%202%5E%7B%282%29%7D%20%3D%204%20%24)
We see the functions are once again equal.
Answer:
Therefore, The correct option is A. The probability of heads is 40%
Step-by-step explanation:
First set of trials : THTHTHTHHT ( T = Tails ; H = Heads)
Number of heads = 5
Number of outcomes = 10
Second set of trials : TTTHTTHTTH
Number of heads = 3
Number of outcomes = 10
Now, Total number of heads in the two tosses of the coin = 5 + 3 = 8
Total number of outcomes in the two tosses of the coin = 10 + 10 = 20
![\text{So, Probability of heads = }\frac{8}{20}\times 100=40\%](https://tex.z-dn.net/?f=%5Ctext%7BSo%2C%20Probability%20of%20heads%20%3D%20%7D%5Cfrac%7B8%7D%7B20%7D%5Ctimes%20100%3D40%5C%25)
Therefore, The correct option is A. The probability of heads is 40%
For the answer to the question above asking <span>how many years was his money invested? The for the answer above is simple, it is I = Prt
</span>1200 = 1000 * 0.08 * t
<span>1200 = 80t
the answer is 15 years.
I hope my answer helped you. Have a nice day!
</span>
Answer:
yes and yes
Step-by-step explanation: