Assume uniformly accelerated motion
Vf = Vo - at => a= [Vo - Vf] / t
Vf = 0, t = 20 s => a = Vo / 20
x = Vot - at^2 / 2
x = Vot - (Vo / 20) * t^2 /2
x = 1775 feet * [1 mile / 5280 feet] = 0.336 mile
t = 20 s
=> 0.336 = 20Vo - Vo(20)^2 /(40) = 20Vo - 10 Vo = 10 Vo
=> Vo = 0.336 /10 = 0.0336 mile /s
Vo = 0.0336 mile/s * 3600 s/h = 120.96 mile / h
Therefore, the car was way over the speed limit.
Answer
C. (5/2, -1/3)
Step by step explanation
Here we use the rational root theorem.
The possible roots are
+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6
We have to use the synthetic division to find the correct root of this function.
Here the roots are 5/2 and -1/3
Others are not roots of this function.
Let's check x = 5/2 with synthetic division.
5/2) 6 -13 13 -39 -15
- 15 5 45 15
--------------------------
6 2 18 6 0
Similarly x = -1/3 is also root of this function.
Answer: C. (5/2, -1/3)
I’m just putting this so someone else can get Brainliest :)
Answer:
(2,-1)
divide both sides of the first equation by 2 to get y by itself. this gets you y=x/2-2
then plug that into the other equation:
4x+3(x/2-2)=5
SImplify that to get:
4x+3x/2-6=5
Add 6 to both sides:
4x+3x/2=11
give 4x a denominator of 2 as well:
8x/2+3x/2=11
add them:
11x/2=11
multiply both sides by 2/11 to get:
x=22/11 which simplifies to x=2
plug x into first equation:
2y=(2)-4
simplify:
2y=-2
divide both sides by 2 to get:
y=-2/2 which is the same as -1
x=2
y=-1
answer: (2,-1)
I hope this helps