Answer:
Step-by-step explanation:
Answer:
simplified: ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
unsimplified: ![\frac{12}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B20%7D)
Step-by-step explanation:
Since the fractions have the same denominator, all we have to do is subtract the numbers in the numerator:
15 - 3 = 12
The difference of the two fractions is
. To simplify this answer, divide both the numerator and the denominator by 4:
12/4 = 3
20/4 = 5
The difference in simplified form is
.
I hope this helps. :)
-6=-4(1)-2
-6=-4-2
-6=-6
The ordered pair still works.
Answer:
C. 30
Step-by-step explanation:
We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.
![_nP_r=\frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=_nP_r%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
n = total number of objects
r = number of objects selected
In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.
![_6P_2=\frac{6!}{(6-2)!}=30](https://tex.z-dn.net/?f=_6P_2%3D%5Cfrac%7B6%21%7D%7B%286-2%29%21%7D%3D30)
Therefore, there are 30 possible two-part names.
Answer:
a^2-ab+b^2
Step-by-step explanation:
factorize both of them.