Answer:
The coefficient is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The given sum is
![(\frac{2}{3}q -\frac{3}{4})+(-\frac{1}{6}q-r)](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7Dq%20-%5Cfrac%7B3%7D%7B4%7D%29%2B%28-%5Cfrac%7B1%7D%7B6%7Dq-r%29)
We can choose to add only the coeffients of
or simplify the whole sum.
![=\frac{2}{3}q -\frac{1}{6}q-\frac{3}{4})-r)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B3%7Dq%20-%5Cfrac%7B1%7D%7B6%7Dq-%5Cfrac%7B3%7D%7B4%7D%29-r%29)
We collect the LCM for the
terms;
![=\frac{4-1}{6}q-\frac{3}{4})-r)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4-1%7D%7B6%7Dq-%5Cfrac%7B3%7D%7B4%7D%29-r%29)
This will give us;
![=\frac{3}{6}q-\frac{3}{4})-r)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%7D%7B6%7Dq-%5Cfrac%7B3%7D%7B4%7D%29-r%29)
Which is the same as
![=\frac{1}{2}q-r-\frac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7Dq-r-%5Cfrac%7B3%7D%7B4%7D)
The coefficient is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
x = 0 or 1 or -2
Step-by-step explanation:
![x^{4} -3x^{2} +2x=0](https://tex.z-dn.net/?f=x%5E%7B4%7D%20-3x%5E%7B2%7D%20%2B2x%3D0)
x(x^3-3x+2)=0
x(x-1)^2 * (x+2)0
so x = 0 or 1 or -2
there is no imaginary solutions
Answer: 31, 932.74
Step-by-step explanation:
The population of the small town = 39,668
Yearly rate of decline = 1.5%
Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668
------------------
100
= 595.02
So, the population is declining by 595.02 on yearly basis.
To ascertain what will the population would have declined to in the next 13 years,
We multiply , = 595.02 x 13
=7,735.26
Now population in 13 years = 39,668 - 7,735.26
= 31,932.74
Answer:
25/9
Step-by-step explanation:
I did it on mathaway
Answer: 18x + 12
Step-by-step explanation:
3 ( 6x + 4 )
3 x 6x = 18x
3 x 4 = 12
18x + 12