Answer:
Step-by-step explanation:
-4
The metric unit of length is the meter.
My left thumb is about 0.06 meter long.
(It's hard to tell exactly, because I'm not sure where it starts.)
Another smaller unit, called the "centimeter", is often used
for convenience. Each centimeter is 0.01 of a meter.
So 0.06 meter, mentioned above, is the same as 6 centimeters.
Answer: its has to be .14
Step-by-step explanation:
The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent
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.