Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
![\sqrt{a + 5} = a + 3](https://tex.z-dn.net/?f=%5Csqrt%7Ba%20%2B%205%7D%20%3D%20a%20%2B%203)
![a = -4; a = -1](https://tex.z-dn.net/?f=a%20%3D%20-4%3B%20a%20%3D%20-1)
Required
The true statement about the solutions
We have:
![\sqrt{a + 5} = a + 3](https://tex.z-dn.net/?f=%5Csqrt%7Ba%20%2B%205%7D%20%3D%20a%20%2B%203)
Square both sides
![a + 5 = (a + 3)^2](https://tex.z-dn.net/?f=a%20%2B%205%20%3D%20%28a%20%2B%203%29%5E2)
![a + 5 =a^2 + 6a + 9](https://tex.z-dn.net/?f=a%20%2B%205%20%3Da%5E2%20%2B%206a%20%2B%209)
Collect like terms
![a^2 + 6a - a + 9 - 5 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%206a%20-%20a%20%2B%209%20-%205%20%3D%200)
![a^2 + 5a + 4 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%205a%20%2B%204%20%3D%200)
Expand
![a^2 + 4a + a + 4 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%204a%20%2B%20a%20%2B%204%20%3D%200)
Factorize
![a(a + 4) + 1(a + 4) = 0](https://tex.z-dn.net/?f=a%28a%20%2B%204%29%20%2B%201%28a%20%2B%204%29%20%3D%200)
Factor out a + 4
![(a + 1)(a + 4) = 0](https://tex.z-dn.net/?f=%28a%20%2B%201%29%28a%20%2B%204%29%20%3D%200)
Split:
![a + 1 = 0; a + 4 = 0](https://tex.z-dn.net/?f=a%20%2B%201%20%3D%200%3B%20a%20%2B%204%20%3D%200)
Solve:
![a =-1; a = -4](https://tex.z-dn.net/?f=a%20%3D-1%3B%20a%20%3D%20-4)
The price after tax is $211.98
60 percent of x euals to 345. Here x is total number. So we get x equal to 575. Then number of females eual 575-345=230
Answer:
8y-2
Step-by-step explanation:
5)7÷0.002 = 35006)0.718÷0.2 = 3.59
7)0.0141÷0.003 = 4.7
8)0.24÷0.012 =20
9)1.625÷0.0013 = 1250
10)47.1÷0.15 =314