Answer:
1) Move the "non X" term to the right:
2x^2+16x-8=0 becomes
2x^2 +16x = +8
2) Divide the equation by the coefficient of X² which in this case is 2
x^2 + 8x = 4
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X (which is 8)
• divide it by 2 [8 / 2 = 4]
• square that number [4^2 = 16]
• then add it to both sides of the equation.
x^2 + 8x + 16 = 20
Take the square root of both sides of the equation:
x + 4 = sq root (20)
x = sq root (20) -4
x1 = 4.472135955 -4
x1 = .472135955
x2 = -4.472135955 -4
x2 = -8.472135955
Source: https://www.1728.org/quadr2.htm
Step-by-step explanation:
Answer: top row, 0, 60, 120, 180, 240
Step-by-step explanation:
Answer:
None of the given system of linear inequalities
Step-by-step explanation:
Given
![(x,y) =(3,-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%283%2C-2%29)
Required
The line inequalities with the above solution
The first set of linear inequalities, we have:
![y < -3](https://tex.z-dn.net/?f=y%20%3C%20-3)
![y \ge \frac{2}{3}x - 4](https://tex.z-dn.net/?f=y%20%5Cge%20%5Cfrac%7B2%7D%7B3%7Dx%20-%204)
implies that the values of y is -4,-5.....
While
implies that y = -2
Hence, the first set is wrong
The second set of linear inequalities, we have:
![y > - 2](https://tex.z-dn.net/?f=y%20%3E%20-%202)
![y \ge \frac{2}{3}x - 4](https://tex.z-dn.net/?f=y%20%5Cge%20%5Cfrac%7B2%7D%7B3%7Dx%20-%204)
implies that the values of y is -1,0.....
While
implies that y = -2
Hence, the second set is wrong
Answer:
You inject 60.9628 milliliters of dosage
Step-by-step explanation:
1 pound = 0.453592kg,
Patient's weight in pounds = 168
Patient's weight in kg = ![76.2035 kg](https://tex.z-dn.net/?f=76.2035%20%20kg)
Now we are given that The dosage is 0.4 mg per kilogram of bod
So, dosage = ![0.4 \times 76.2035 mg = 30.4814 mg](https://tex.z-dn.net/?f=0.4%20%5Ctimes%2076.2035%20mg%20%3D%2030.4814%20mg)
1 microgram = 0.001 mg
Concentration of drug = ![500 micrograms/ml = 500 * 0.001 mg/ml = 0.5 mg/ml](https://tex.z-dn.net/?f=500%20micrograms%2Fml%20%3D%20500%20%2A%200.001%20mg%2Fml%20%3D%200.5%20mg%2Fml)
Now we are supposed to find How many milliliters (= cc) are you to inject?
So,milliliters of dosage required to inject = ![\frac{30.4814}{0.5} = 60.9628](https://tex.z-dn.net/?f=%5Cfrac%7B30.4814%7D%7B0.5%7D%20%3D%2060.9628)
Hence you inject 60.9628 milliliters of dosage
10% of 260 = 26
260+26 = 286
10% of 286 = 28.6
286= 28.6 = 257.4