Answer:
D
Step-by-step explanation:
Consider the inequality
![\dfrac{x^2+4x-12}{x}>0](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%2B4x-12%7D%7Bx%7D%3E0)
First, factor the numerator:
![x^2+4x-12=x^2+6x-2x-12=x(x+6)-2(x+6)=(x+6)(x-2)](https://tex.z-dn.net/?f=x%5E2%2B4x-12%3Dx%5E2%2B6x-2x-12%3Dx%28x%2B6%29-2%28x%2B6%29%3D%28x%2B6%29%28x-2%29)
Now, the inequality is
![\dfrac{(x+6)(x-2)}{x}>0](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x%2B6%29%28x-2%29%7D%7Bx%7D%3E0)
The equivalent inequality is
![x(x+6)(x-2)>0](https://tex.z-dn.net/?f=x%28x%2B6%29%28x-2%29%3E0)
On the number line plot doted points -6, 0 and 2 and put signs +, -, +, - from the right to the left. Intervals with + signs are the solution of the inequality:
![x\in(-6,0)\cup(2,\infty)](https://tex.z-dn.net/?f=x%5Cin%28-6%2C0%29%5Ccup%282%2C%5Cinfty%29)
that is represented by D number line.
Answer:
24
Step-by-step explanation:
if you add all of them together u get 108 divide it by 44 and u get 24
Answer: 3/4
Step-by-step explanation:
First step, write it down, second, make it so the denominator is the same, then add. If it can be simplified, simplify.
Answer:
<em>The answer is C.</em>
Step-by-step explanation:
Answer: 394.6 m^3
Step-by-step explanation:
-