What is the expression equivalent too?

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

Answer:

x+5

Step-by-step explanation:

3(x+4)-(2x+7)

1. Distribute 3 to x and 4

3x+12-2x+7

2. Distribute the "-" to 2x and 7

2x+12-2x-7

3. Subtract 7 from 12

3x+12-2x-7

3x+5-2x

4. Combine like terms

3x+5-2x

1x+5

Answer:

x+5

You might be interested in

If x=3 then solve the equation: y=10x×10x-7×-12

NNADVOKAT [17]

The answer is y = 545.

7 0

3 years ago

Read 2 more answers

Matrix multiplication was used to encode a message using the given encoding matrix: [i 47 A=1 |-1 -3] The original message was c

nadya68 [22]

Answer:

$A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right]$ message SHOW_ME_THE_MONEY_

Step-by-step explanation:

The matrix

$A=\left[\begin{array}{cc}1&4\\-1&-3\end{array}\right]\rightarrow |A|=(1 \times -3)-(-1\times 4)=1\\\rightarrow A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] \\$

We can check that in fact A*A^⁻1=I_2 the identity matrix of size 2 x 2.

Now the message was divided in 1 x 2 matrices, then we have that the sequence given is the result of multiplying m by A, so to get m again we multiply now by A^⁻1. and we get the next table

Encoded message Decoded message message in letters by association

11 52 19 8 S H

-8 -9 15 23 O W

-13 -39 0 13 _ M

5 20 5 0 E _

12 56 20 8 T H

5 20 5 0 E _

-2 7 13 15 M O

9 41 14 5 N E

25 100 25 0 Y _

Then the message decoded is SHOW_ME_THE_MONEY_