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jonny [76]
3 years ago
10

Use Pascal's Triangle to determine the second term of the expansion of (x - 2)^5

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Pascal's triangle up to the 5th iteration is

\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}

This tells us

(x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5

so the second term in the expansion is

5x^4(-2)^1=\boxed{-10x^4}

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G
Svetllana [295]

Answer:

15

Step-by-step explanation:

since there is 7 teams and 12 can be the minimum we can do 7 x 12=84

this means that 3 people could possibly be on one single team.

the maximum number is 12+3=15

5 0
2 years ago
Amswer in its lowest terms<br> 5 3/5 + 2 1/10
Nataly [62]

5 \frac{3}{5}  + 2 \frac{1}{10}  \\  =  \frac{28}{5}  +  \frac{21}{10}  \\  =  \frac{56}{10}  +  \frac{21}{10}  \\  =  \frac{77}{10}  \\  = 7 \frac{7}{10}

<em>Hope it helps and is useful :)</em>

3 0
2 years ago
Read 2 more answers
Hannah is putting the fruit she bought intervals. She bought eight melons, 12 pairs, and 24 apples. She puts the same number of
BlackZzzverrR [31]
Hannah has to put 4 pieces in each bowl.
3 0
2 years ago
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
Ok her it is need help
Furkat [3]

Answer:

..........

Step-by-step explanation:

5 0
3 years ago
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