Answer:
![\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}](https://tex.z-dn.net/?f=%5Csf%20x%3D1%2Bi%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D%20%20%20%5C%20%5Cquad%20and%20%20%5Cquad%20%5C%3Ax%3D1-i%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D)
Explanation:
<u>Given Expression</u>:
Use the Quadratic Formula:
![\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%20%5Cdfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%20%20%5C%20%20%5C%20when%20%20%20%5C%20%5C%20%20ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200)
<u>insert coefficients</u>
![\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B-%5Cleft%28-6%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A3%7D)
![\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B%5Cleft6%5Cright%5Cpm%20%5Csqrt%7B-24%7D%20%7D%7B6%7D)
![\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B%5Cleft6%5Cright%5Cpm%202%5Csqrt%7B6%7Di%7D%7B6%7D)
![\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D1%20%5Cpm%20%20%20i%5Cdfrac%7B%5Csqrt%7B6%7D%20%7D%7B3%7D)
![\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%3D1%2Bi%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D%2C%20%20%5Cquad%201-i%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D)
Answer: F) 7 mph
<u>Step-by-step explanation:</u>
The line you drew is correct but you read the graph wrong.
The line drawn from 15 hours of training (bottom axis) meets the "line of best fit" at the average running speed (left axis) between 6 and 8, which is 7.
Answer:
48cm
Step-by-step explanation:
B and F , wish you the best enjoy!
Answer:
20,114 mi/h
Step-by-step explanation:
It can be convenient to remember that 1 mi/h = 22/15 ft/s. To convert the given number to the appropriate units, we can divide by this conversion factor:
(29500 ft/s)/((22/15 ft/s)/(1 mi/h)) = (29500·15/22) mi/h = 20113 7/11 mi/h
≈ 20,114 mi/h