Answer:
A) x=5 or -11
Step-by-step explanation:
The given equation is:
![(x+3)^2=64](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%3D64)
The most suitable method so solve this quadratic equation is the square root method.
We take square root of both sides to obtain:
![x+3=\pm \sqrt{64}](https://tex.z-dn.net/?f=x%2B3%3D%5Cpm%20%5Csqrt%7B64%7D)
![\implies x+3=\pm8](https://tex.z-dn.net/?f=%5Cimplies%20x%2B3%3D%5Cpm8)
![\implies x=-3\pm8](https://tex.z-dn.net/?f=%5Cimplies%20x%3D-3%5Cpm8)
We now split the plus or minus sign to get;
![x=-3-8\:,x=-3+8](https://tex.z-dn.net/?f=x%3D-3-8%5C%3A%2Cx%3D-3%2B8)
This simplifies to:
![x=-11\:,x=5](https://tex.z-dn.net/?f=x%3D-11%5C%3A%2Cx%3D5)
The correct choice is A
Answer:
![\frac{21}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B8%7D)
Step-by-step explanation:
finally
![6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D-3%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B25%7D%7B4%7D-%5Cfrac%7B29%7D%7B8%7D%3D%5Cfrac%7B21%7D%7B8%7D)
Answer:
10 months
$500
Step-by-step explanation:
Option 1
- 300 + 20x, where x is the number of months
Option 2
Both options reveal same amount:
- 300 + 20x = 100 + 40x
- 300 - 100 = 40x - 20x
- 200 = 20x
- x = 200/20
- x= 10 months
Cost of notebook:
- 300 + 20*10 = 300 + 200 = $500
4x = -20 + 4
4x = -14
X = - 4
Answer:
B. 0.08
Step-by-step explanation:
In order to solve this problem, we must account for all possibilities. The sum of all posssiblities must sum up to 1.
1 - High Attendance/No Rain
0.9*0.8 = 0.72
2- High Attendance/ Rain
0.4*0.2 = 0.08
3 - Low Attendance/No Rain
0.1*0.8 = 0.08
4 - High Attendance/No Rain
0.6*0.2 = 0.12
Now we answer the question of rain and high attendance.
0.08/1 = 0.08