Answer:
thank you
Step-by-step explanation:
can I get brainiest please
Answer:
The maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.
Step-by-step explanation:
Local train stats:
Rate = 60 km/h
Distance = x km
Time = x/60 hours
Express train stats:
Rate = 80 km/h
Distance =
km
Time =
hours
Now we will equate both the times.
![x/60 =(195-x)/80](https://tex.z-dn.net/?f=x%2F60%20%3D%28195-x%29%2F80)
![x/3= (195-x)/4](https://tex.z-dn.net/?f=x%2F3%3D%20%28195-x%29%2F4)
![4x= 585-3x](https://tex.z-dn.net/?f=4x%3D%20585-3x)
![7x= 585](https://tex.z-dn.net/?f=7x%3D%20585)
x = 83.57 km
km
Hence, the maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.
Answer:
42
Step-by-step explanation:
<u>Given</u>:
The given equation is ![x^{2} -3x-7=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-3x-7%3D0)
We need to determine the exact solutions of the equation.
<u>Exact solution:</u>
The exact solution of the equation can be determined by solving the equation using quadratic formula,
![x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
From the equation the values are a = 1, b = -3 and c = -7
Thus, substituting these values in the equation, we get;
![x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-3%29%20%5Cpm%20%5Csqrt%7B3%5E2-4%281%29%28-7%29%7D%7D%7B2%281%29%7D)
![x=\frac{3 \pm \sqrt{9+28}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B9%2B28%7D%7D%7B2%7D)
![x=\frac{3 \pm \sqrt{37}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B37%7D%7D%7B2%7D)
Thus, the exact solutions of the given equation is ![x=\frac{3 \pm \sqrt{37}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%20%5Cpm%20%5Csqrt%7B37%7D%7D%7B2%7D)
Hence, Option A is the correct answer.
Answer:
its 61.4x+15
Step-by-step explanation: