Answer:
12x^2+2x+7
Step-by-step explanation:
Distribute the Negative Sign:
=4x^2+6+7+−1(−8x^2−2x+6)
=4x^2+6+7+−1(−8x^2)+−1(−2x)+(−1)(6)
=4x^2+6+7+8x^2+2x+−6
Combine Like Terms:
=4x^2+6+7+8x^2+2x+−6
=(4x^2+8x^2)+(2x)+(6+7+−6)
=12x^2+2x+7
Answer:
7 tables
Step-by-step explanation:
So if 6 students can fit at each table, you divide 38 by 6. You get 6 1/3 ,but since you can't get 1/3 of a table, you have to get 7
6/ 1.5 = 4
4 cups of flour in one serving
700 x .03 x 20 = 420
420 + 700
1120 is in the account after 20 years
Answer:
1,404,000 unique passwords are possible.
Step-by-step explanation:
The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this question:
2 digits from a set of 10(there are 10 possible digits, 0-9).
3 characters from a set of 26. So
![P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000](https://tex.z-dn.net/?f=P_%7B10%2C2%7DP_%7B26%2C3%7D%20%3D%20%5Cfrac%7B10%21%7D%7B8%21%7D%20%5Ctimes%20%5Cfrac%7B26%21%7D%7B23%21%7D%20%3D%2010%2A9%2A26%2A25%2A24%20%3D%201404000)
1,404,000 unique passwords are possible.