Answer:
1. Correct
2. Incorrect
Step-by-step explanation:
( - 1 + 1 ) / - 1
= 0 / - 1
= 0
- 1 / 1 = - 1
Answer:
![\large\boxed{a](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba%3C14%5Cto%20a%5Cin%28-%5Cinfty%2C%5C%2014%29%7D)
Step-by-step explanation:
a - 4 < 10 <em>add 4 to both sides</em>
a - 4 + 4 < 10 + 4
a < 14
Answer:
19
1 (is considered an outlier but some say it is prime)
Step-by-step explanation:
Hope this helps:) Have a good day!!
Answer:
a) The possible solutions are:
x=7 and x=-3
b)The extraneous solution
is x=
Step-by-step explanation:
The last step gives us the possible solutions.
![(x + 3)(x - 7) = 0](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20-%207%29%20%3D%200)
By the zero product property,
![x + 3 = 0 \: or \: x - 7 = 0](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%200%20%5C%3A%20or%20%5C%3A%20x%20-%207%20%3D%200)
This implies that:
![x = - 3 \: or \: x = 7](https://tex.z-dn.net/?f=x%20%20%3D%20%20-%203%20%5C%3A%20or%20%5C%3A%20x%20%3D%207)
The original equation is
![\sqrt{30 - 2x} = x - 3](https://tex.z-dn.net/?f=%20%5Csqrt%7B30%20-%202x%7D%20%20%3D%20x%20-%203)
We substitute x=-3 to get;
![\sqrt{30 - 2 \times - 3} = - 3 - 3 \\ \sqrt{30 + 6} = - 6 \\ \sqrt{36} = - 6 \\ 6 = - 6](https://tex.z-dn.net/?f=%5Csqrt%7B30%20-%202%20%5Ctimes%20%20-%203%7D%20%20%3D%20%20-%203%20-%203%20%5C%5C%20%20%5Csqrt%7B30%20%2B%206%7D%20%20%3D%20%20-%206%20%5C%5C%20%20%5Csqrt%7B36%7D%20%3D%20%20-%206%20%5C%5C%20%206%20%3D%20%20-%206%20)
This not true, therefore x=-3 is an extraneous solution.
We substitute x=7
![\sqrt{30 - 2 \times 7} = 7- 3 \\ \sqrt{30 - 14} = 4 \\ \sqrt{16} = 4 \\ 4 = 4](https://tex.z-dn.net/?f=%5Csqrt%7B30%20-%202%20%5Ctimes%207%7D%20%20%3D%207-%203%20%5C%5C%20%20%5Csqrt%7B30%20-%2014%7D%20%20%3D%204%20%5C%5C%20%20%5Csqrt%7B16%7D%20%20%3D%204%20%5C%5C%204%20%3D%204)
Therefore x=7 is the only solution.