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OLEGan [10]
3 years ago
6

What is this polynomial

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
What question is it?

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JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
Which line has a slope of 1, and which has a slope of 2?
aleksley [76]

Answer:

Line "L" has the slope of 1 and line "K" has the slope of 2.

In order to graph a line with the slope of \frac{1}{3} think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)

Step-by-step explanation:

A slope of "1" is simply \frac{1}{1} so you rise up one and move to the right once. This clearly demonstrated on line "L".

A slope of "2" is \frac{2}{1} so you rise up two and move to the right once, as is demonstrated on line "K".

For the 2nd question, line "A" will have a slope of \frac{1}{3} therefore it will move up once and then to the side three times. It will look like the image attached to this answer.

I hope this helped! Feel free to ask questions if needed!

6 0
3 years ago
5.
Viktor [21]

Answer:

this is your answer. If I am right so.

please mark me as a brainliest. thanks!!

3 0
3 years ago
Read 2 more answers
4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.
valentina_108 [34]

Answer:

vertex - (0,0)

focus - (0, 3/4)

directrix - 3/4

parabola- x^2=-3y

graph of equation:

8 0
2 years ago
1<br> Looking at the angle relationship below, what is the value of x?<br> 1<br> .<br> 45°
Andre45 [30]

Answer:

45

Step-by-step explanation:

They add up to 90, so 90 - 45 = 45 degrees

8 0
3 years ago
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