Answer:
Step-by-step explanation:
Mistake
Correct expansion would be as given below:
![log_{3}(4 {x}^{6}y ) \\ \\ = log_{3}4 +log_{3} {x}^{6} +log_{3} y \\ \\ = log_{3}4 +6log_{3} {x}+log_{3} y \\](https://tex.z-dn.net/?f=%20log_%7B3%7D%284%20%7Bx%7D%5E%7B6%7Dy%20%29%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20log_%7B3%7D4%20%20%2Blog_%7B3%7D%20%7Bx%7D%5E%7B6%7D%20%2Blog_%7B3%7D%20y%20%20%5C%5C%20%20%5C%5C%20%20%3D%20log_%7B3%7D4%20%20%2B6log_%7B3%7D%20%7Bx%7D%2Blog_%7B3%7D%20y%20%20%5C%5C%20%20)
<span>7.158 x 10^9 rounds to 7 x 10^9
</span>7 x 10^9 means 7 followed by 9 zeros.
7.158 * 10^9 is approximately equal to 7 * 10^9 = 7,000,000,000
I assume you are asking to solve:
-2x^2 + 3x - 9 = 0
So first, this equation does not have real roots.
It only has 2 complex roots.
The roots are:
3/4 * (1-i√7) and 3/4 * (1+i√7)
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation: