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Rasek [7]
3 years ago
9

PLEASE HURRY TIMED Analyze the table below and answer the question that follows.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
C. is the correct answer.
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Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
1) A spinner is divided into equal red, blue, green,
Harlamova29_29 [7]

Answer:

1/18

Step-by-step explanation:

Probability of spinning red=2/6=1/3

Probability of spinning green=1/6

probability of spinning green and then red=(1/6)*(1/3)=1/18

3 0
2 years ago
Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 mi
m_a_m_a [10]

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

6 0
3 years ago
4. The area of the rectangle shown is 200 square units. Find the value of x 1/2x + 5 x 8
Tomtit [17]

Answer:

x-intercept(s): (−80,0)

y-intercept(s): (0,40)

x and y (-80,40)

5 0
3 years ago
What value of x is in the solution set of -5x - 15 > 10 + 20x?​
Georgia [21]

Answer:

-1>x

Step-by-step explanation:

-5x - 15 > 10 + 20x

Add 5x to each side

-5x+5x - 15 > 10 + 20x+5x

-15> 10+25x

Subtract 10 from each side

-10 - 15 > 10-10 + 25x

-25> 25x

Divide each side by 25

-25/25> 25x/25

-1>x

3 0
3 years ago
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