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nalin [4]
3 years ago
7

(a-3b)^5 expand the binomial please

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0
Expand the binomial:
( a - 3 b ) ^5 =
= a^5 - 5 * a^4 * ( 3 b ) + 10 * a^3 ( 3 b ) ^2 - 10 * a^2 ( 3 b)^3 + 5 *a*( 3 b ) ^4 -
- ( 3 b )^5 =
=  a^5 - 15 a^4 b + 90 a^3 b^2 - 270 a^2 b^3 + 405 a b^4 - 243 b^5
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**22 POINTS** Please solve this fraction as a difference
Ghella [55]

Answer:

\dfrac{x}{4}-\dfrac{7}{12}

Step-by-step explanation:

The fraction is the equivalent of ...

\dfrac{1}{12}{(3x-7)

and the distributive property applies.

=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}

3 0
3 years ago
Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two dice. players win
Ivahew [28]

The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.

In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.

So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:

P(\text{rolling two 6s}) = P(\text{rolling a 6}) \cdot P(\text{rolling a 6}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Similarly,

P(\text{rolling two 3s}) = P(\text{rolling a 3}) \cdot P(\text{rolling a 3}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:

P(\text{rolling any ordered couple}) = P(\text{rolling the first number}) \cdot P(\text{rolling the second number}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

7 0
3 years ago
Help!! Create a set of coordinates to model a relation that is a linear function.
grigory [225]

Answer:

You can group a ratio or a multiple of x or y to prove a linear function.

To set coordinates randomly pick a title ie) rise in price for matches over 40 years.

$14 yr 10   $20 yr 11 etc. $25 year 12 etc.

We show yr 0 = 0  yr 1 = 8 and if 8 is the price we have a ratio start of 1:8 upon year 1. we then pinpoint the data what year was $16 and we know that yr 10 = $14 so yr 11 = $16.

Once we can write a format which isn't asked we can prove the relationship target of the graph would be x8

As the x y relationship coordinates can be shown here.

= 1 , 8

2 ,16

3 ,24

4, 32

and then change number of years to decades. To make a linear equation work we could change the rate upon the decade that shows a more stable rate of change to be of significance and easier to read.

Step-by-step explanation:

A linear function is a type of function of x and y proves a single line.

When a given ratio or rate of increase occurs ie) xy = 1/8 or 8/1 we can set the 1-4 decades spaced out on a graph and go up by decades since 1980 = decade 1, decade 2 decade 3 decade 4

for x value and for y we have price the actual data of change.

Therefore y = price change from $8 - $32 in last 40 years to appeal to advertisers who want to be ethical and fair for customers who pay more than $32 a game, they look for linear graphs that can show least amount cost of a ticket and average price ticket and compare success stories in advertising to crowds to further testing graphs before advertising so that companies can test advertising before sponsorship which is one way of investment, that can help ease costs of selection of tickets and go full circle for the financier of such games.They need linear graphs to compare to other business as each linear graphs can show better stability. So it is a good example to show costs and prices as prices demonstrate exactly how companies grow compared to their competitors.

7 0
3 years ago
Read 2 more answers
3 is subtracted from two-thirds of n
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A minus x plus b equals c
4 0
3 years ago
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Mark and Robyn used base- ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense? Whose model is nonsens
Dima020 [189]

Answer:

Robyn model makes more sense and Marks is nonsense.

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

8 0
3 years ago
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