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nevsk [136]
3 years ago
6

Which graph represents the solution set of the system of inequalities? {y<−3x−2y y≤x−2

Mathematics
2 answers:
Mashcka [7]3 years ago
5 0

Answer:

The first one on top

Step-by-step explanation:

< is line is dashed -2y

≤ is line is solid -2

irina1246 [14]3 years ago
4 0

Answer:

Option 1

Step-by-step explanation:

In each inequality we have the equation of a line.

The first step in solving this problem is to identify each line in the figures.

To do this, we willient your cut points.

y = x-2

We do y = 0

0 = x-2

x = 2. This line cuts the x-axis at x = 2.

Now we do x = 0

y = -2.

This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

The inequality is:

y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

Once again, the point (-4.0) complies with both inequalities.

Identify these characteristics in the options, and you will see that the correct option is the first

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uysha [10]

Answer:

(D)  (a + 4)/2

Step-by-step explanation:

To solve, you need to subtract the first equation from the second.

  9p = 3a + 1

<u>-  7p = 2a - 3</u>

  2p = 1a + 4

Now, you need to rearrange the equation so that is equal to p.

2p = a + 4

(2p)/2 = (a + 4)/2

p = (a + 4)/2

This gives you answer choice D.

5 0
3 years ago
Please help<br><br>15 points bc I’m new and only have like 50. I’ll also give branliest
Veronika [31]
It’s 12

On the first side (smaller triangle/ ABC) the give you one side that equals 4 and on the next triangle (bigger triangle/ DEF) it’s 8 meaning you’re going to multiply each corresponding side by 2
6 0
1 year ago
Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent
aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = \frac{1}{2}

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = \frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas

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7 0
3 years ago
Three ratios that are Equivalent to 11:1
marin [14]

Answer:

1-22:2

2-33:3

3-44:4

Step-by-step explanation:

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so, 22:2

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Replace ? with =, &gt;, or &lt; to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2
bogdanovich [222]

Answer:

>

Step-by-step explanation:

On the left side, we divide first: 12/4=3

On the left side, we get 3+13, which equals 16.

On the right side, we also divide first: 22/2=11

On the right side, we get 11+2, which equals 13.

We know that 16 is larger than 13, so  

12 ÷ 4 + 13 > 2 + 22 ÷ 2

Hope this helps!

8 0
3 years ago
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