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motikmotik
2 years ago
14

-1/2(3x-4)+3x=5/6 Please help

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
3 0

Answer:

  x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

  6(-1/2(3x -4) +3x) = 6(5/6)

  -9x +12 +18x = 5 . . . . . . . . . simplify

  9x = -7 . . . . . . . . . . . . . . . . . subtract 12

  x = -7/9 . . . . . .divide by 9

__

Another way to do this is to eliminate parentheses first.

  -3/2x +2 +3x = 5/6

  3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

  x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
kondaur [170]

Th matrix is missing. The matrix is :

\begin{bmatrix}1 &-4  &4 \\ -4 &16  & 4 \end{bmatrix}

Solution :

The column of the matrix are \begin{bmatrix}1\\ -4\end{bmatrix} , \begin{bmatrix}-4\\ 16\end{bmatrix}, \begin{bmatrix}4\\ 4\end{bmatrix}

Now each of them are vectors in $IR^2$. But  $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the \text{linearly independent set} as the set contains \text{more vectors} than there are entries in each vector.

Therefore, option (D) is correct.

4 0
2 years ago
Need help asap......
Korvikt [17]

Answer:

32

Step-by-step explanation:

(2x+20)+3x=180\\5x+20=180\\5x=180-20=160\\x=160/5=32

6 0
2 years ago
2,6,18,...<br> Find the 8th term.<br> Find the 8th term.
maw [93]

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

5 0
2 years ago
A substance has a density of 0.70 g/mL, if it has a volume of 3.0 mL, what is its mass?
Naddika [18.5K]

Answer:

<h2>2.1 g</h2>

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 0.70 × 3

We have the final answer as

<h3>2.1 g</h3>

Hope this helps you

4 0
2 years ago
What is the difference between -6 and -14
Oksana_A [137]
The difference between -6 and -14 is that -6 is greater than -14 on a line.
8 0
2 years ago
Read 2 more answers
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