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Maru [420]
3 years ago
7

Pls pls help!!!!!!!!!!

Mathematics
1 answer:
netineya [11]3 years ago
5 0

9514 1404 393

Answer:

  5

Step-by-step explanation:

Let f represent the number of friends. Their total earnings are ...

  21f = 105

  f = 105/21 = 5 . . . . . divide by the coefficient of f

There are 5 friends in the group.

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Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a dilation
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Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu
Alona [7]

Answer:

We have the equation

c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]

Then, the augmented matrix of the system is

\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]

This matrix is in echelon form. Then, now we apply backward substitution:

1.

8c_4=0\\c_4=0

2.

4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0

3.

3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0

4.

c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0

Then the system has unique solution that is (c_1,c_2c_3,c_4)=(0,0,0,0) and this imply that the vectors v_1,v_2,v_3,v_4 are linear independent.

4 0
3 years ago
Macy is tutoring students in mathematics during her summer break. She charges $20 for a 30 minute session and $35 for an hour. T
Zanzabum
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Find the slope of the line that contains the<br><br>point (4, −9) and has a y intercept of 2.
ASHA 777 [7]

Answer:

<h2>         m = -¹¹/₄</h2>

Step-by-step explanation:

The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

5 0
3 years ago
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