Remember, you can do anything to an equation as long as you do it to both sides
times 4 both sides because we hate fractions
3x+8=16x-4
minus 3x both sides
8=13x-4
add 4 both sides
12=13x
divide both sides by 13
12/13=x
x=12/13
Answer:
x= 9,-2
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let 
Differentiate with respect to 

Differentiate with respect to 

Put values of
in 

So,
is the solution of the given equation.
Now, let
Differentiate with respect to 

Differentiate with respect to 

Put values of
in 

To find: 
Solution:
Let 
![W(u,v)=\left | \begin{matrix}u&v\\u'&v' \end{matrix} \right |\\=\left | \begin{matrix}e^{\frac{x}{2}}&xe^{\frac{x}{2}}\\\frac{1}{2}e^{\frac{x}{2}}&e^{\frac{x}{2}}\left ( 1+\frac{x}{2} \right ) \end{matrix} \right |\\=e^{\frac{x}{2}}\left [ e^{\frac{x}{2}}\left ( 1+\frac{x}{2} \right ) \right ]-\frac{1}{2}e^{\frac{x}{2}}xe^{\frac{x}{2}}\\=e^x\left ( 1+\frac{x}{2} \right )-\frac{1}{2}xe^x\\=e^x+\frac{1}{2}xe^x-\frac{1}{2}xe^x\\=e^x](https://tex.z-dn.net/?f=W%28u%2Cv%29%3D%5Cleft%20%7C%20%5Cbegin%7Bmatrix%7Du%26v%5C%5Cu%27%26v%27%20%5Cend%7Bmatrix%7D%20%5Cright%20%7C%5C%5C%3D%5Cleft%20%7C%20%5Cbegin%7Bmatrix%7De%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%26xe%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%5C%5C%5Cfrac%7B1%7D%7B2%7De%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%26e%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%5Cleft%20%28%201%2B%5Cfrac%7Bx%7D%7B2%7D%20%5Cright%20%29%20%5Cend%7Bmatrix%7D%20%5Cright%20%7C%5C%5C%3De%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%5Cleft%20%5B%20e%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%5Cleft%20%28%201%2B%5Cfrac%7Bx%7D%7B2%7D%20%5Cright%20%29%20%5Cright%20%5D-%5Cfrac%7B1%7D%7B2%7De%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7Dxe%5E%7B%5Cfrac%7Bx%7D%7B2%7D%7D%5C%5C%3De%5Ex%5Cleft%20%28%201%2B%5Cfrac%7Bx%7D%7B2%7D%20%5Cright%20%29-%5Cfrac%7B1%7D%7B2%7Dxe%5Ex%5C%5C%3De%5Ex%2B%5Cfrac%7B1%7D%7B2%7Dxe%5Ex-%5Cfrac%7B1%7D%7B2%7Dxe%5Ex%5C%5C%3De%5Ex)
Answer:
7.3 voters
Step-by-step explanation:
This scenario follows a binomial distribution with the probability of success (voting in favor of the ballot) p =0.42, and the probability of failure (voting against the ballot), p-1 = 0.58. If the number of events is n=30. The variance is given by:

The variance for the number who favor the measure is 7.3 voters.
Answer:
they are suplementary
Step-by-step explanation:
because no right angle and less then 90 degrees