Answer:
1157 / 500
Step-by-step explanation:
The total distance traveled by the robot from t=0 to t=9 is 1422 units
Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.
Given that the position s(t) at any time t is given by the function:
s(t)=9t²−90t+4
The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9
Therefore:
![Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units](https://tex.z-dn.net/?f=Total%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7Bs%28t%29%20%5C%2C%20dt%20%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7B%289t%5E2-90t%2B4%29%20%5C%2C%20dt%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5B3t%5E3-45t%2B4t%5D_0%5E9%5C%5C%5C%5CTotal%5C%20distance%3D-1422%5C%20units)
The total distance is 1422 units
Find out more at: brainly.com/question/22008756
Answer:
a) x=2
b)x=12
c)x=5/4
Step-by-step explanation:
a)5x-2=8
5x=8+2
5x=10
x=2
b)4x-3=2x+9
4x-2x=9+3
2x=12
x=6
c)6x+3=2x+8
6x-2x=8-3
4x=5
x=5/4
Proof:
a)5x-2=8
5(2)-2=8
10-2=8
8=8
b)4x-3=2x+9
4(12)-3=2(12)+9
48-3=24+9
45=45
c)6x+3=2x+8
6(5/4)+3=2(5/4)+8
30/4+3=10/4+8
15/2+3=5/2+8
10.5=10.5
Hope this helps ;) ❤❤❤
9.2x10^-8
Move the decimal to the right 8 times. Since it is moved to the right, the exponent is negative.
quadratic equations can be soled by 3 methods
factorization
completing square
quadratic formula
but factorization is the simplest