Let x = # of Republicans
x + 4 = # of Democrats
x + x + 4 = 100
x = 48
48 + 4 = 52
There are 52 Democrats and 48 Republicans.
Answer:
x=-1
Step-by-step explanation:
![6 - 2x = 6x - 10x + 4](https://tex.z-dn.net/?f=6%20-%202x%20%3D%206x%20-%2010x%20%2B%204)
![6 - 2x = - 4x + 4](https://tex.z-dn.net/?f=6%20-%202x%20%3D%20%20-%204x%20%2B%204)
![6 = - 4x + 4 + 2x](https://tex.z-dn.net/?f=6%20%3D%20%20-%204x%20%2B%204%20%2B%202x)
![6 = - 2x + 4](https://tex.z-dn.net/?f=6%20%3D%20%20-%202x%20%2B%204)
![- 2x + 4 = 6](https://tex.z-dn.net/?f=%20-%202x%20%2B%204%20%3D%206)
![- 2x = 6 - 4](https://tex.z-dn.net/?f=%20-%202x%20%3D%206%20-%204)
![- 2x = 2](https://tex.z-dn.net/?f=%20-%202x%20%3D%202)
![x = \frac{ \: \: \: 2}{ - 2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%202%7D%7B%20-%202%7D%20)
![x = - 1](https://tex.z-dn.net/?f=x%20%3D%20%20-%201)
Therefore , the value of x = -1
Answer:
(x-13)(x+3) = f(x) = x^2 -10x -39
Step-by-step explanation:
To Find :
Position vector at time
and
.
Solution :
r (t) = 2 (t −7)i + 12t j
Putting t = 5 s and t = 8 s, we get :
r(5) = 2( -2 )i + 60j
r(5) = -4i + 60j
r(8) = 2i + 96j
Now, to find speed differentiating the r(t) w.r.t t :
![v=\dfrac{dr}{dt}= \dfrac{d(2(t-7)i + 12tj)}{dt}\\\\v=\dfrac{dr}{dt}= 2i + 12j](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bdr%7D%7Bdt%7D%3D%20%5Cdfrac%7Bd%282%28t-7%29i%20%2B%2012tj%29%7D%7Bdt%7D%5C%5C%5C%5Cv%3D%5Cdfrac%7Bdr%7D%7Bdt%7D%3D%202i%20%2B%2012j)
Hence, this is the required solution.