Answer:
6 there are 6 motorcycles
Step-by-step explanation:
Well I would just do 8,304,088 + 90,000. So, that would equal 8,394,088 in all. Hope this helped!
Answer:
Option B and C are correct.
Step-by-step explanation:
Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:
for every x∈R.
Let
and ![g(x) = 2e^{2x+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%202e%5E%7B2x%2B1%7D)
Use logarithmic rules:
then, by definition;
= ![\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Cln%28e%5E%7B2x%2B1%7D%7D%29%7B-1%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%282x%2B1-1%29%20%3D%5Cfrac%7B1%7D%7B2%7D%282x%29%20%3D%20x)
![2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x](https://tex.z-dn.net/?f=2e%5E%7B%28%5Cln%28%5Cfrac%7Bx%7D%7B2%7D%29%20-1%2B1%7D%3D2e%5E%7B%5Cln%28%5Cfrac%7Bx%7D%7B2%7D%29%7D%20%3D2%5Ccdot%20%5Cfrac%7Bx%7D%7B2%7D%20%3D%20x)
Similarly;
for
and ![g(x) = e^{\frac{e^2 \cdot x}{8} }](https://tex.z-dn.net/?f=g%28x%29%20%3D%20e%5E%7B%5Cfrac%7Be%5E2%20%5Ccdot%20x%7D%7B8%7D%20%7D)
then, by definition;
= ![\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x](https://tex.z-dn.net/?f=%5Cfrac%7B8%20%5Cln%20%7B%28%5Cfrac%7Be%5E2%20%5Ccdot%20x%7D%7B8%7D%29%7D%7D%7Be%5E2%7D%20%3D%5Cfrac%7B8%5Cfrac%7Be%5E2%5Ccdot%20x%7D%7B8%7D%20%7D%7Be%5E2%7D%3D%5Cfrac%7B8e%5E2%20%5Ccdot%20x%7D%7B8e%5E2%7D%3Dx)
Similarly,
g(f(x)) = x
Therefore, the only option B and C are correct. As the pairs of functions are inverse function.
Answer:
100
Step-by-step explanation:
10 + 45*2
10 + 90
100
<em>≈ 24 cm</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>c = 2πr } => c = πd => d = c/π</em>
<em>2r = d</em>
<em>replace c ; π</em>
<em>π =3.14</em>
<em>d = 74cm/3.14</em>
<em>= 23.5668</em>
<em>≈ 24 cm</em>
<em>Good luck !</em>