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3 years ago

Solve the given inequality and graph the solution on a number line.

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

$-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)$

Answer\ in\ attachment.

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You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 8 or higher. What is the P ( A ∪ B ) ?

creativ13 [48]

set A = {2, 4, 6, 8, 10} (only even cards)

set B = {8, 9, 10} (8 or higher)

( A ∩ B ) means the numbers which are common in both sets .

They both have 8 & 10 in common.

So the answer is: P(A ∩ B) = {8,10}

5 0

3 years ago

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

7,014 + 2,415 + 774 + 30 = _____

Cloud [144]

9,459

8,444

23,963

9,304

3,719

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3 years ago

8.5 hours equal how many minutes

k0ka [10]

Answer:

510 minutes.

Step-by-step explanation:

<em>i hope this helped you! :)</em>

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2 years ago

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A calculator screen displays 9.837E8. Write this number in standard form.

natta225 [31]

Answer:

983,700,000

Step-by-step explanation:

plz mark helpful, give 5 str, and mark brailliest!!! thx!

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3 years ago

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