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mars1129 [50]
4 years ago
15

$1,554.31 With an 30% discount

Mathematics
1 answer:
Ierofanga [76]4 years ago
6 0

Answer:

Original: $1,554.31

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Combinatorics: what is the coefficient of (a^2)(b^3)(c) in (2a - b + 3c)^6?
Karolina [17]

Answer:

The coefficient of a²b³c is -720

Step-by-step explanation:

Given: (2a-b+3c)^6

Let 2a-b = x and 3c = y

(x+y)^6

General term of binomial expansion.

  • T_{r+1}=^nC_rx^{n-r}y^r

where, n=6 , r=1 ( because exponent of c is 1)

\Rightarrow ^6C_1x^{6-1}y^1

\Rightarrow 6(2a-b)^{5}3c         \because y=3c, x=2a-b

\Rightarrow 18(2a-b)^{5}c  ----------(1)

Now, we simplify (2a-b)⁵

T_{r+1}=^5C_r(2a)^{5-r}(-b)^r

The exponent of b is 3 and a is 2 .

If we take r=3 will get exponent of b is 3 and a is 2

So, put r=3

T_{4}=^5C_3(2a)^{2}(-b)^3=-40a^2b^3

Substitute into equation (1)

\Rightarrow 18\cdot -40a^2b^3c

\Rightarrow -720a^2b^3c

Hence, The coefficient of a²b³c is -720

5 0
4 years ago
Pedro vende Televisores a 1020 lempiras y las compra a 800 lempiras cada uno, para mantener su negocio gasta 1000 en
TEA [102]
12 a.b trust me on this one
6 0
3 years ago
Please answer the question, and explain each step
natta225 [31]
The steps are shown here.

1) Factoring
2) Completing the square
3) Quadratic Formula
4) Graphing

So basically the answer would either be 5 or -5.
5 0
3 years ago
Please answer question!!!!!!!
tatyana61 [14]
First problem:

 x      8
--- = ---
 3     12

Then 12x = 24, and x = 2 (answer).

Please be fair to other students needing help.  Present just one problem at a time.
5 0
4 years ago
Pls help ASAP. 1ST ANSWER WILL BE BRAINLIEST
masya89 [10]
The solution is simple 11*5/2. 11= the base or bottom of the triangle. 5=the high or side. the triangle is 1/2 of a rectangle so divide by 2. the solution is 27.5 units.
8 0
3 years ago
Read 2 more answers
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