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3 years ago

Subtract 6 from 4 times d

Mathematics

1 answer:

Sindrei [870]3 years ago

4 0

Answer:

2(3 - 2d)

Step-by-step explanation:

All you need to do is factor out 2 from the original expression, so 6 - 4d.

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9. What is the solution to this equation?<br> 3x + 10 = 19

svp [43]

<h2>Answer:</h2>

This is a 2-step equation:

$3x + 10 = 19\\\\3x = 9\\\\x = 3$

The solution is <em>x = 3</em>.

6 0

3 years ago

Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

Question#1 Please simplify..

riadik2000 [5.3K]

Hey there,
6x + 5 (x-2)
6x + 5x - 10
11x - 10

3x - 5 - x + 9
3x - x - 5 + 9
2x + 4

3a + 5 - 8a + 1
3 (-1) + 5 - 8(-1) + 1
-3 + 5 + 8 + 1
11

Hope this helps :))

<em>~Top♥</em>

5 0

3 years ago

Which best describes the transformation from the graph of f(x) = x2 to the graph of

RoseWind [281]

Transformations

(x-3)...: That means the graph shifted 3 units right.

...-1: that means the graph shifted 1 unit down.

answer: 3 units right, and 1 down

8 0

3 years ago

Read 2 more answers

suppose the probality that it will rain tomorrow is 0.59. what is the probality that it will not rain tomorrow

kykrilka [37]

Answer: 0.41

Step-by-step explanation: 0.59 is 59%. To find the percentage of chance that it will not rain, you subtract 1 (which is 100%) minus 0.59. You get an answer of 0.41 (or 41% if you prefer.)

7 0

3 years ago