<span>The answer is x ≥ -2. First use distributive property to simplify the left side of inequality: 2(3x – 1) ≥ 4x – 6. 2 * 3x - 2 * 1 ≥ 4x - 6. 6x - 2 ≥ 4x - 6. Rearrange it to get x on the one side and integers on the other side of inequality: 6x - 4x ≥ 2 - 6. Solve for x: 2x ≥ -4. x ≥ -4/2. x ≥ -2.Hope this helps. Let me know if you need additional help!</span>
Answer:
-4
Step-by-step explanation:
Cube Root is an odd number so your answer will still be negative in the end. 4x4x4= 64 so cube root 64 will be -4
Answer:
348
Step-by-step explanation:
Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
The equation simplified (combine like terms) would be 11x+(-24) =180.
Since adding a negative is the same as subtracting a positive, you could also write it as this: 11x-24=180. Next step is isolate the variable, so to do that you need to add 24 to both sides of the equation: 11x-24+24=180+24. This is the same as 11x=204. Now to get only one of the variable, you need to divide both sides by 11. x=18.54 repeating or x=18 6/11. Hope this helped!
