So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
Answer:
2
Step-by-step explanation:
12.80=6.4x
12.8/6.4=2
x=2
The answer is 3. 1/3(x-5)= -2/3. Multiply by 3 on both sides. Add five and you get 3
Answer:
v= 6km/h - 1km/h^2 * t
Step-by-step explanation:
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour becomes 3km/h.
If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t
To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2
After that, you need to find the initial speed. Try to put the 1st-hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h
Then the full function would be:
v= 6km/h - 1km/h^2 * t
The graph would look like a backslash(\) from 5 gradually go down to 1.
6
5 O
4 O
3 O
2 O
1 O
1 2 3 4 5
