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vodomira [7]
2 years ago
15

Why do you think adding and subtracting polynomial expressions is like adding and subtracting

Mathematics
1 answer:
seropon [69]2 years ago
7 0

Answer:

Polynomials are <em>closed</em> under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we <em>always</em> get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:

  • Two integers gives you another integer
  • Two rational numbers gives you another rational number
  • Two real numbers gives you another real number

And it works the same with polynomials!

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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
Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol
Tcecarenko [31]

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Help pls!!!!!!<br> Brainiest goes to first answer
Viktor [21]
3x+1 djdjdjdjdidjdjdjfjdjdjdj
8 0
3 years ago
Eve leaves £400 in the bank for 3 years, it earns 5% compound interest. What is the total amount eve has in the bank at the end
zubka84 [21]
Eve has 420 in the bank.
7 0
3 years ago
Please answer Parts A, B, and C. I Will Mark Brainliest
bogdanovich [222]
A) John: 3.75+1.45m
Kiara: 6.25+0.55m

B) (3.75+1.45m)+(6.25+0.55m)
Added: 10+2m

C) (10+2m) divide by 2
Factored: 5+m
4 0
3 years ago
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