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2 years ago

Which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6, __________

Mathematics

2 answers:

topjm [15]2 years ago

7 0

Answer:

36h6

Step-by-step explanation:

horrorfan [7]2 years ago

4 0

Answer:

48h^5

Step-by-step explanation:

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Solve for q. √3q + 2 = √5

34kurt

Answer:

$q = 0.0186$

Step-by-step explanation:

To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.

$\sqrt{3q} + 2 = \sqrt{5}$

$\sqrt{3q} = \sqrt{5} - 2$

We find the square of both sides of the equation. So

$(\sqrt{3q})^{2} = (\sqrt{5} - 2)^{2}$

$3q = 0.0557$

$q = \frac{0.0557}{3}$

$q = 0.0186$

8 0

3 years ago

12/21 in its simplest form

UNO [17]

12/21 in its simplest form is 4/7.

To find this out we need to divide the numerator and denominator by the GCF of 12 and 21 which is 3.

12/21

12 ÷ 3 = 4
21 ÷ 3 = 7
4/7

12/21 in its simplest form is 4/7.

12/21 = 4/7

5 0

3 years ago

Read 2 more answers

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

49 POINTS! PLEASE HELP!

SSSSS [86.1K]

Answer:

B (2, 2)

Step-by-step explanation:

Given the graphs of a system of equations then the solution is at the point of intersection of the 2 lines.

That is (2,2) ← is the solution → B

5 0

3 years ago

Read 2 more answers

Please help me. I am stuck.

dalvyx [7]

C is greater than or equal to $40 (which means put the > sign with a line under it).

4 0

2 years ago