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o-na [289]
3 years ago
15

What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.

<u>Step-by-step explanation:</u>

The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.

Therefore,

The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.

To find the sum :

3x²+4x+8

<u>2x²-6x+3 </u>

<u>5x²-2x+11</u>

The sum is 5x²-2x+11.

Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.

  9x²- 2x - 5

- <u>(5x²-2x+11)</u>

  <u> 4x²    -16 </u>

Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.

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<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

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

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
3 years ago
Solve the equation for the indicated variable. U=mgh,for h
Alexus [3.1K]
U=mgh  ⇒h=U/mg

Answer: h=U/mg
6 0
3 years ago
Solve for x and y in the parallelogram
Lubov Fominskaja [6]

Answer:

x=3

y=6

Step-by-step explanation:

Hope this helps! :)

4 0
3 years ago
Explain who I do this
Nataliya [291]
What does the problem says?
5 0
3 years ago
If there are 91 chickens and 1 is gone how many more is there left.
beks73 [17]

Answer:

90 chickens

Step-by-step explanation:

91 chickens are there, subtract 1 chicken there 90 left

91 - 1 = 90

Mark brainliest would be appreciated

7 0
3 years ago
Read 2 more answers
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