It means 11:30 PM - 5:40 AM .
Answer:
![x=\frac{1\pm i\sqrt{11}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%5Cpm%20i%5Csqrt%7B11%7D%7D%7B4%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
![x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
4x² - 2x + 3 = 0
<u>Step 2: Identify Variables</u>
a = 4
b = -2
c = 3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [Quad Formula]:
![x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B%28-2%29%5E2-4%284%29%283%29%7D%20%7D%7B2%284%29%7D)
- Evaluate Exponents:
![x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B4-4%284%29%283%29%7D%20%7D%7B2%284%29%7D)
- Evaluate Multiplication:
![x=\frac{2\pm\sqrt{4-48} }{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B4-48%7D%20%7D%7B8%7D)
- Evaluate Subtraction:
![x=\frac{2\pm\sqrt{-44} }{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-44%7D%20%7D%7B8%7D)
- Factor Radical:
![x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-1%7D%20%5Csqrt%7B44%7D%20%7D%7B8%7D)
- Simplify Radicals:
![x=\frac{2\pm 2i\sqrt{11} }{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%202i%5Csqrt%7B11%7D%20%7D%7B8%7D)
- Factor Numerator GCF:
![x=\frac{2(1\pm i\sqrt{11}) }{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%281%5Cpm%20i%5Csqrt%7B11%7D%29%20%7D%7B8%7D)
- Simplify:
![x=\frac{1\pm i\sqrt{11}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%5Cpm%20i%5Csqrt%7B11%7D%7D%7B4%7D)
Answer: ![\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B1%7D)
Step-by-step explanation:
FIrst find the square root of 81.
The square root of 81 is 9.
FInd the product of -1 and -3 by multiplying the -1 by -3.
-1 * -3 = 3
next find the square root of 4.
Now it said divide the square root of 81 which is 9 by the difference between 3 and 2 and the difference between 3 and 2 two is 1.
Thos means that the answer will be 9/1.
Answer:
3,3.5, and 4
Step-by-step explanation:
Since you said between 2 and 5, I’m assuming you can’t use numbers 2 and 5. The first two numbers you think about that are between 2 and 5 is 3 and 4 and since you need a 3rd one, 3.5 is also exactly in the middle.
Hope that helps!