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3 years ago

How many solutions exist for the given equation? 1/2(x + 12) = 4x – 1

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

X + 12 = 8x - 2
7x = 14
x = 2.
that is the solution.

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zlopas [31]

Answer:

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Step-by-step explanation:

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3 years ago

FOIL backwards #5 please & thank you :)

larisa86 [58]

(5x+7)(2x−3) is the answer

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2 years ago

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What is the value 2 pi into the palette?

solong [7]

Answer: The answer is 6.28571 . . ..

Step-by-step explanation: We are given ti find the value of twice of pi into the palette.

We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle and its value is 22/7 or 3.14159 . . ..

Therefore, the value of 2 pi can be calculated as follows.

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3 years ago

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

Find the value of x in the triangle shown below

mezya [45]

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

7 0

3 years ago