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gladu [14]
3 years ago
6

Expand the following. (3x + 2)2 A.9x2+6x+4 B.9x2+4 C.3x2+4 E.9x2+12x+4

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Step-by-step explanation:

E

working ;

(3x+2)^2

*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2

a = 3x,b = 2

(3x)^2 + 3x.2+2^2

finally Answer is:

= 9x^2 + 12x +4

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Exercise 10.10.2: Distributing a coin collection. About A man is distributing his coin collection with 35 coins to his five gran
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given that:

all coins are same;

The same implies that the number of the non-negative integral solution of the equation:

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

Thus, the number of the non-negative integral solution is:

^{(35+3-1)}C_{5-1} = ^{39}C_4

(b)

Here all coins are distinct.

So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects

i.e.

= \dfrac{(35+4)!}{4!}

= \dfrac{39!}{4!}

(c)

Here; provided that the coins are the same and each grandchild gets the same.

Then;

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

x_1=x_2=x_3=x_4=x_5

5x_1 = 35\\\\ x_1= \dfrac{35}{5} \\ \\  x_1= 7

Thus, each child will get 7 coins

(d)

Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.

The number of ways to group them into 5 groups = \dfrac{35!}{(7!)^55!}

Now, distributing them, we have:

\mathbf{\dfrac{35!}{(7!)^55!}  \times 5!= \dfrac{35!}{(7!)^5}}

3 0
3 years ago
What goes in the empty boxes?! HELP
Andre45 [30]
I think the left is 8
4 0
3 years ago
Find the mode(s).
MissTica

Answer: NO MODE(S)

 

explanation: In math mode is the most frequent number. In this case the numbers don't repeat again and that is why there is no mode.

4 0
4 years ago
1. Jamie received $25 from her favorite aunt for her birthday. She wants to save her money to
dusya [7]

Answer:

y=5x+25

if that's what u need

7 0
3 years ago
Which equation is modeled below?
Alik [6]

Answer:

-x+1=2x+3

Step-by-step explanation:

Im not really sure of it but i think thats the answer

6 0
3 years ago
Read 2 more answers
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