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3 years ago

Simplify X^2+6-27/x-3

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

(x + 9)

Step-by-step explanation:

X² + 6 - 27

(x-3)

1. Factor the numerator:

(x-3) (x + 9)

(x-3)

2. cancel the (x - 3) from numerator and denominator

3 Answer left is (x + 9)

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Perform the indicated row operations, then write the new matrix.

Studentka2010 [4]

The matrix is not properly formatted.

However, I'm able to rearrange the question as:

$\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right]$

Operations:

$2R_1 + R_2 ->R_2$

$-3R_1 +R_3 ->R_3$

Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

Answer:

$\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right]$

Step-by-step explanation:

The first operation:

$2R_1 + R_2 ->R_2$

This means that the new second row (R2) is derived by:

Multiplying the first row (R1) by 2; add this to the second row

The row 1 elements are:

$\left[\begin{array}{ccc}1&1&1|-1\end{array}\right]$

Multiply by 2

$2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right]$

Add to row 2 elements are: $\left[\begin{array}{ccc}-2&3&5|3\end{array}\right]$

$\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right]$

$\left[\begin{array}{ccc}0&5&7|1\end{array}\right]$

The second operation:

$-3R_1 +R_3 ->R_3$

This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

$\left[\begin{array}{ccc}1&1&1|-1\end{array}\right]$

Multiply by -3

$-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right]$

Add to row 2 elements are: $\left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}0&-1&1|4\end{array}\right]$

Hence, the new matrix is:

$\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right]$

3 0

2 years ago

Read 2 more answers

1. -5(x - 2) - (x + 2) = 50

Serjik [45]

Answer:

x = - 7

Step-by-step explanation:

Given

- 5(x - 2) - (x + 2) = 50 ← distribute parenthesis on left side

- 5x + 10 - x - 2 = 50, that is

- 6x + 8 = 50 ( subtract 8 from both sides )

- 6x = 42 ( divide both sides by - 6 )

x = - 7

4 0

2 years ago

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A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $3 for children. The total co

dmitriy555 [2]

Answer:

There are 6 adults. My mistake! I had the wrong equation. 3 + 9a = 57.

Step-by-step explanation:

There is only 1 child in the group.
Cost for children is 3$.
The cost for adults is 9$.
9 * 6 = 54
3 * 1 = 3
3 + 9a = 57
Simplify:
6 Adults.

8 0

2 years ago

Read 2 more answers

I NEED HELP ASAP with this Question PLEASE

alukav5142 [94]

Answer:

answer is b

Step-by-step explanation:

hope it helps!!!

7 0

2 years ago

Please helppp mee (1/x-1)^3

n200080 [17]

The awnser is (-1+3/x-3/x2+1/x3 )

7 0

2 years ago