Answer:
1: x > -5
2: n > 4
3: x > -2
Step-by-step explanation:
When you add any fractions, you need to find a common denominator. In this case they have no common factors so you just multiply them together. First multiply the first fraction by
![\frac{x - 2}{x - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%202%7D%7Bx%20-%202%7D%20)
which gets you
![\frac{3x - 6}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20-%206%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
. Then multiply the second fraction by
![\frac{x}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bx%7D%20)
to get
![\frac{5x}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
. Now you can add them together to get
![\frac{-2x - 6}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2x%20-%206%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
.
(b)
![\sqrt{18} = \sqrt{9 * 2} = 3 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B18%7D%20%20%3D%20%20%5Csqrt%7B9%20%2A%202%7D%20%20%3D%203%20%5Csqrt%7B2%7D%20)
![\sqrt{72} = \sqrt{36 * 2} = 6 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B72%7D%20%3D%20%20%5Csqrt%7B36%20%2A%202%7D%20%20%3D%206%20%5Csqrt%7B2%7D)
now you can pull out root 2 and get
![\sqrt{2}(3 - 1 + 6)](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%283%20-%201%20%2B%206%29%20)
which equals
Answer:
1) 2x = x + 15
Step-by-step explanation:
The two parallel lines and one bisecting line makes these two angles equal so you can set the values equal to each other to solve for x
About 90 inches for a sports car, or 120 inches for a luxury sedan.
Answer:
The third time = 11.64 seconds
Step-by-step explanation:
Let the average time be x
The average of a set of numbers is the sum of the numbers divided by the number of terms. In this case:
Average = (10.84 + 13.52 + x) ÷ 3 = 12.0
![\frac{10.84\ + 13.52\ + x}{3}= 12.0\\\frac{24.36\ +\ x}{3} = 12.0\\cross-multiplying\\24.36\ +\ x = 3 \times 12.0\\24.36\ +\ x = 36\\x = 36 - 24.36\\x = 11.64\ seconds](https://tex.z-dn.net/?f=%5Cfrac%7B10.84%5C%20%2B%2013.52%5C%20%2B%20x%7D%7B3%7D%3D%2012.0%5C%5C%5Cfrac%7B24.36%5C%20%2B%5C%20x%7D%7B3%7D%20%20%3D%2012.0%5C%5Ccross-multiplying%5C%5C24.36%5C%20%2B%5C%20x%20%3D%203%20%5Ctimes%2012.0%5C%5C24.36%5C%20%2B%5C%20x%20%3D%2036%5C%5Cx%20%3D%2036%20-%2024.36%5C%5Cx%20%3D%2011.64%5C%20seconds)