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nika2105 [10]
3 years ago
10

Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)​

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

<u>5x² - 10</u>

Step-by-step explanation:

Step 1:

( 3x^{2} + 4x - 8 ) - ( -2x^{2} + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

algol133 years ago
3 0

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

  • ( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Step 1:- Remove unnecessary parantheses.

  • 3x² + 4x - 8 + 2x ² - 4x - 2

Step 2 :- arranging like terms.

  • 3x² + 5x² + 4x - 4x -8 - 2

Step 3 :- Calculate like terms.

  • 5x² + 10
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What are “like terms”? Why can we only add like terms?
SSSSS [86.1K]

Answer:

Like terms are terms whose variables are the same.

We can only add them because if they does not have the same variable you do not actually know if the variables are equivalent and you will get the wrong answer.

Step-by-step explanation:

Ex: 4z,7z,108z,45z

Ex: 4w-2h+7a-2w

You can not add 4w and 7a because you do not know what the variables equal so you do not know the true number so add or subtract by.


4 0
3 years ago
Given that the diameter of Circle A is 6 cm , and the radius of Circle B is 18 cm , what can be concluded about the two circles?
ELEN [110]

Answer:

The radius of circle B is 6 times greater than the radius of circle A

The area of circle B is 36 times greater than the area of circle A

Step-by-step explanation:

we have

<em>Circle A</em>

D=6\ cm

The radius of circle A is

r=6/2=3\ cm -----> the radius is half the diameter

<em>Circle B</em>

r=18\ cm

Compare the radius of both circles

3\ cm< 18\ cm

18=6(3)

The radius of circle B is six times greater than the radius of circle A

Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared

All circles are similar

In this problem the scale factor is 6

so

6^{2}=36

therefore

The area of circle B is 36 times greater than the area of circle A

8 0
3 years ago
Gina is making $20 an hour. She receives a 10% raise. If gina works 40 hours a week, how much more money will she make each week
Elden [556K]

Answer:

880

Step-by-step explanation:

20 x 10% = 2

20 + 2 = 22

22 x 40 = 880

6 0
2 years ago
−9x+y= \,\,71 71 -x-y= −x−y= \,\,-1 −1 \mathbf{Add}\text{ to eliminate }\mathbf{y.}Add to eliminate y. \mathbf{Subtract}\text{ t
Rama09 [41]

Answer:

<h3>Add to eliminate y.</h3>

Step-by-step explanation:

Given the equations

-9x + y =  71.... 1

-x - y = -1 .... 2

Using elimination method we can eliminate y first since they have the same coefficient.

To do that we will need to add up both equations. We are adding because the coefficient of y in both equations has different signs. If they have the same sign, we would have subtracted.

<em>Hence the correct option in this case is to add to eliminate y.</em>

8 0
3 years ago
Identify the domain and range:
Y_Kistochka [10]

Answer:

Domain: [3, ∞)

Range: [-1, ∞)

Step-by-step explanation:

lmk if you want an explanation

6 0
2 years ago
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