Answer:
Step-by-step explanation:
-5x² - 6 = -4x
-5x² + 4x - 6 = 0
a = -5 ; b = 4 ; c = -6
Discriminant = b² - 4ac
= 4² - 4*(-5)*(-6)
= 16 - 120
= -104
roots = 
![=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B-4%2B%5Csqrt%7B-104%7D%7D%7B2%2A%28-5%29%7D%3B%5Cdfrac%7B-4-%5Csqrt%7B-104%7D%7D%7B2%2A%28-5%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-4%2B2i%5Csqrt%7B26%7D%7D%7B-10%7D%20%3B%20%5Cdfrac%7B-4-2i%5Csqrt%7B26%7D%7D%7B-10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%28-2%29%5B2-i%5Csqrt%7B26%7D%5D%7D%7B-10%7D%20%5C%20%3B%20%5C%20%5Cdfrac%7B%28-2%29%5B2%2Bi%5Csqrt%7B26%7D%5D%7D%7B-10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2-i%5Csqrt%7B26%7D%7D%7B5%7D%20%5C%20%3B%20%5C%20%5Cdfrac%7B2%2Bi%5Csqrt%7B26%7D%7D%7B5%7D)
Anything that is absolute value is just that same number
therefore the answer is 1/4
hope this helps
Answer:
The answer is 51,200 bacterium.
Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.
You get a result of 51,200 bacterium.
The system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
<h3>Graph of Inequalities</h3>
From the question, we are to determine the system of inequalities that represents the graph
The equation of the solid line is y = -x +4
Since the lower part of the graph was shaded
Then,
The inequality that represents the solid line is
y ≤ -x +4
The equation of the dotted line is y = 3x -1
Since the lower part of the graph was shaded,
Then,
The inequality that represents the solid line is
y < 3x-1
Hence, the system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
Learn more on Graph of Inequalities here: brainly.com/question/11234618
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