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Elan Coil [88]
3 years ago
14

Expand the following using the Binomial Theorem and Pascal's Triangle. Please show work.

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

The answer is:
32x^5+ 240x^4+ 720x^3+ 1080x^2+810x+243

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Please help..!!!!!!!
Morgarella [4.7K]

Answer:

E) (-4, -3)

Step-by-step explanation:

To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".

The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.

(-7y) - (-7y)        Try subtracting

= (-7y) + 7y

= 0

Based on this, we should subtract the whole equations.

Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.

.   4x - 7y = 5

<u>-   9x - 7y = -15</u>       Do 4x - 9x = -5x.    -7y - (-7y) = 0.      5 - (-15) = 20.

.    -5x - 0 = 20       "y" cancelled out

.          -5x = 20          Isolate 'x'

.      -5x/-5 = 20/-5       Divide both sides by -5

.              x = -4          Solved x-coordinate

Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.

4x - 7y = 5

4(-4) - 7y = 5         Simplify the multiplication.

-16 - 7y = 5         Start isolating 'y' now

-16 + 16 - 7y = 5 + 16         Add 16 to both sides. Left side cancels out 16

-7y = 5 + 16         Solved right side by adding

-7y = 21

-7y/-7 = 21/-7         Divide both sides by -7

y = -3              Solved y-coordinate

Therefore the answer is (-4, -3).

5 0
3 years ago
How many ways can you get to the end, only being able to go down or left, and having to avoid the green thing?
kirill [66]

I got 21, I give up.

6 0
2 years ago
If Leo is 6 years old and Max is 12 years older, in how many years wil Max be 3 times older than Leo?
Sergio039 [100]

Answer:

in 36 years

Step-by-step explanation:

in 36 years, Max will be 54 YEARS OLD and Leo will be 18 YEARS OLD.

54÷18= 3

this means that when max is 54, he will be 3 times older than leo

it can also be when Leo is 6 and Max is 18 because:

18÷6=3 means max is already 3 times older than leo

7 0
2 years ago
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alpha
algol13

118,813,760 different combination license plates can the country produce

<h3 /><h3>permutations and combinations:</h3>

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

given that

in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

  = 10 × 11881376

  = 118,813,760

118,813,760 different combinations license plates can the country produce

To learn more about combinations:

brainly.com/question/19692242

#SPJ4

3 0
11 months ago
A magician pulls 12 rabbits out of a hat.
pashok25 [27]
(12+13=25) (25+26=51) 51 is You're answer.
Hope this helps! :)
8 0
3 years ago
Read 2 more answers
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