Is 0.2857 a rational number?Explain
1 answer:
Answer:
0.2857 is not a rational number.
Step-by-step explanation:
Because rational numbers have to be greater than 1. Decimals are not over 1 so it is not a rational number. Your welcome!
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To get their combined time, get the sum of Vega's time and Janice's
![27.98\text{ sec}+25.679\text{ sec }=53.659\text{ sec}](https://tex.z-dn.net/?f=27.98%5Ctext%7B%20sec%7D%2B25.679%5Ctext%7B%20sec%20%7D%3D53.659%5Ctext%7B%20sec%7D)
Therefore, their combined time for their part of the relay is 53.659 seconds.
Answer:
-4,2
Step-by-step explanation:
![let \: two \: consecutive \: even \: numbers \: be \: x \: and \: x + 2 \\ so \: by \: the \: question \\ {x}^{2} + {(x + 2)}^{2} = 20 \\ or \: {x}^{2} + {x}^{2} + 4x + 4 = 20 \\ or \: 2 {x}^{2} + 4x = 20 - 4 \\ or \: 2( {x}^{2} + 2x) = 16 \\ or {x}^{2} + 2x = 8 \\ or \: {x}^{2} + 2x - 8 = 0 \\ or \: {x}^{2} + (4 - 2)x - 8 = 0 \\ or \: {x}^{2} + 4x - 2x - 8 = 0 \\ or \: x(x + 4) - 2(x + 4) = 0 \\ or \: (x + 4)(x - 2) = 0 \\ either \: x + 4 = 0 \\ or \: x = - 4 \\ or \: x - 2 = 0 \\ orx = 2](https://tex.z-dn.net/?f=let%20%5C%3A%20two%20%5C%3A%20consecutive%20%5C%3A%20even%20%5C%3A%20numbers%20%5C%3A%20be%20%5C%3A%20x%20%5C%3A%20and%20%5C%3A%20x%20%2B%202%20%5C%5C%20so%20%5C%3A%20by%20%5C%3A%20the%20%5C%3A%20question%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20%3D%2020%20%5C%5C%20or%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%20%3D%2020%20%5C%5C%20or%20%5C%3A%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%3D%2020%20-%204%20%5C%5C%20or%20%5C%3A%202%28%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%202x%29%20%3D%2016%20%5C%5C%20or%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%3D%208%20%5C%5C%20or%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%208%20%3D%200%20%5C%5C%20or%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%20%284%20-%202%29x%20-%208%20%3D%200%20%5C%5C%20or%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%204x%20%20-%20%202x%20-%208%20%3D%200%20%5C%5C%20or%20%5C%3A%20x%28x%20%2B%204%29%20-%202%28x%20%2B%204%29%20%3D%200%20%5C%5C%20or%20%5C%3A%20%28x%20%2B%204%29%28x%20-%202%29%20%3D%200%20%5C%5C%20either%20%5C%3A%20x%20%2B%204%20%3D%200%20%5C%5C%20or%20%5C%3A%20x%20%3D%20%20-%204%20%5C%5C%20or%20%5C%3A%20x%20-%202%20%3D%200%20%5C%5C%20orx%20%3D%202)
therefore, x= -4 and 2
This is answer. The graph has no x-intercepts.