Answer:
C. (2x – 1)(2x + 1)
Step-by-step explanation:
4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)
Answer:
![x = \sqrt{32}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B32%7D)
Step-by-step explanation:
![\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%7D%20-%20%5Cfrac%7Bx%7D%7B8%7D%20%3D%200%5C%5C%5C%5C%5Cfrac%7B4%7D%7Bx%7D%20%3D%20%5Cfrac%7Bx%7D%7B8%7D%5C%5C%5C%5Cx%5E2%20%3D%2032%5C%5C%5C%5Cx%20%3D%20%5Csqrt%7B32%7D)
Answer: 3. 4
4.
Step-by-step explanation:
8^2 + 12^3 = c^2
64 + 144 = c^2
208 = c^2
√208
![4\sqrt{13}](https://tex.z-dn.net/?f=4%5Csqrt%7B13%7D)
The final answer is the square root of 208
8^2 + b^2 = 17^2
64 + b^2 = 289
-64 64
b^2 = 225
![\sqrt{225}](https://tex.z-dn.net/?f=%5Csqrt%7B225%7D)
For the fifth term, n = 5.
Just replace n with 5 in the expression.
Then evaluate the expression.
![a_n = 3n - 5](https://tex.z-dn.net/?f=%20a_n%20%3D%203n%20-%205%20)
Answer:
Her account balance after 5 years is $8702.87
Step-by-step explanation:
1500 (1.05) = 1575 --> after one year
1575 + 1500 = 3075
3075 (1.05) = 3228.75 --> after two years
3228.75 + 1500 = 4728.75
4728.75 (1.05) = 4965.1875 --> after three years
4965.1875 + 1500 = 6465.1875
6465.1875 (1.05) = 6788.44688 --> after four years
6788.44688 + 1500 = 8288.44688
8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87