Factoring means to break and make it shorter.
Answers:
1. ![3rs=3*r*s](https://tex.z-dn.net/?f=3rs%3D3%2Ar%2As)
2. ![12xy=2*2*3*x*y](https://tex.z-dn.net/?f=12xy%3D2%2A2%2A3%2Ax%2Ay)
3. ![5x^{2} =5*x*x](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20%3D5%2Ax%2Ax)
4. ![36x^{2} =2*2*3*3*x*x](https://tex.z-dn.net/?f=36x%5E%7B2%7D%20%3D2%2A2%2A3%2A3%2Ax%2Ax)
5. ![25x^{2} =5*5*x*x](https://tex.z-dn.net/?f=25x%5E%7B2%7D%20%3D5%2A5%2Ax%2Ax)
6. ![30x^{2} =5*7*x*x](https://tex.z-dn.net/?f=30x%5E%7B2%7D%20%3D5%2A7%2Ax%2Ax)
7. ![5x^{3} =5*x*x*x](https://tex.z-dn.net/?f=5x%5E%7B3%7D%20%3D5%2Ax%2Ax%2Ax)
8. ![24y^{3}= 2*2*2*3*y*y*y](https://tex.z-dn.net/?f=24y%5E%7B3%7D%3D%202%2A2%2A2%2A3%2Ay%2Ay%2Ay)
9. ![9xy=3*3*x*y](https://tex.z-dn.net/?f=9xy%3D3%2A3%2Ax%2Ay)
10. ![12x^{4} =2*2*3*x*x*x*x](https://tex.z-dn.net/?f=12x%5E%7B4%7D%20%3D2%2A2%2A3%2Ax%2Ax%2Ax%2Ax)
hope this helps
1) first step
you must do( a+b) ^2 = a^2+2ab+b^2
then
2)second step
y = -3(x+1)^2 +4 = -3( x^2+2x+1) +4⇒ y = -3x^2-6x-3 +4, y = 3x^2-6x+1
now the graph of this function is
Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
![S=R[\frac{(i+1)^n-1}{i}](i+1)](https://tex.z-dn.net/?f=S%3DR%5B%5Cfrac%7B%28i%2B1%29%5En-1%7D%7Bi%7D%5D%28i%2B1%29)
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date
![P = R\frac{1-(1+i)^{-n}}{i}{i+1}](https://tex.z-dn.net/?f=P%20%3D%20R%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%7Bi%2B1%7D)
we need to calculate R so putting the values and solving for R we get
R= $6542.2356
Answer:
3 cups
Step-by-step explanation:
2/12 = 1/6
1/6 * 3 = 3/18
3 out of 18 cups, so 3 cups.