Answer:
Equivalent ![3\sqrt{8}=6\sqrt{2}](https://tex.z-dn.net/?f=3%5Csqrt%7B8%7D%3D6%5Csqrt%7B2%7D)
Step-by-step explanation:
Given: 3 radical 8
Mathematically 3 radical 8 can be written as ![3\sqrt{8}](https://tex.z-dn.net/?f=3%5Csqrt%7B8%7D)
We have to find an equivalent to
.
Given expression can be written as ,
![3\sqrt{8}=3\sqrt{4 \times 2}](https://tex.z-dn.net/?f=3%5Csqrt%7B8%7D%3D3%5Csqrt%7B4%20%5Ctimes%202%7D)
On further simplification, we get,
![3\sqrt{4 \times 2}=3(\sqrt{4} \sqrt{2} )](https://tex.z-dn.net/?f=3%5Csqrt%7B4%20%5Ctimes%202%7D%3D3%28%5Csqrt%7B4%7D%20%5Csqrt%7B2%7D%20%29)
We know ![\sqrt{4}=2](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D%3D2)
further simplification gives,
![3\sqrt{8}=6\sqrt{2}](https://tex.z-dn.net/?f=3%5Csqrt%7B8%7D%3D6%5Csqrt%7B2%7D)
Thus, Equivalent ![3\sqrt{8}=6\sqrt{2}](https://tex.z-dn.net/?f=3%5Csqrt%7B8%7D%3D6%5Csqrt%7B2%7D)
Answer:
The equation can be used to determine the amount of money S(t) that her savings account has after t years is ![S(t)=500(1.04)^t](https://tex.z-dn.net/?f=S%28t%29%3D500%281.04%29%5Et)
Step-by-step explanation:
A student invests $500 in a savings account
Principal = $500
Rate of interest = 4% = 0.04
We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years
Formula : ![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
Where A is the amount after t years =S(t)
t = time
r = rate of interest in decimals =0.04
P = Principal=500
Substitute the value in the formula :
So, ![S(t)=500(1+0.04)^t](https://tex.z-dn.net/?f=S%28t%29%3D500%281%2B0.04%29%5Et)
![S(t)=500(1.04)^t](https://tex.z-dn.net/?f=S%28t%29%3D500%281.04%29%5Et)
Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is ![S(t)=500(1.04)^t](https://tex.z-dn.net/?f=S%28t%29%3D500%281.04%29%5Et)
1/8 + 6/8 = 7/8
17 11/13 - 9 7/13 = 8 4/13
2/8 + 4/8 = 6/8 = 3/4
8/4 + 1/4 = 9/4 = 2 1/4
9/10 + 3/10 = 12/10 = 1 1/5
2 - 3/5 = 10/5 - 3/5 = 7/5 = 1 2/5
3/4 * 4 = 12/4 = 3
1/4 * 6 = 6/4 = 1 1/2
Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />
Answer:
x = -1 +/-2i
Step-by-step explanation:
Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.
x² + 2x + 5 = 0
Use the quadratic formula by substituting a= 1, b = 2 and c = 5.
![x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-2%20%2B%2F-%20%5Csqrt%7B%28-2%29%5E2%20-%204%281%29%285%29%7D%20%7D%7B2%281%29%7D%20%3D%20%5Cfrac%7B-2%20%2B%2F-%5Csqrt%7B4%20-20%20%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B-2%20%2B%2F-%5Csqrt%7B-16%20%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B-2%20%2B%2F-4i%20%7D%7B2%7D%20%3D%20-1%20%2B%2F-2i)