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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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Help these are superrrrr hardd
sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

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✯If You Have Questions Ask In the Chat Box✯

4 0
3 years ago
Brianna has 6 bags of soil. Filling one flowerpot requires
Inessa [10]

Answer:

18

Step-by-step explanation:

6*3=18

8 0
3 years ago
Find the mean of the data.
Vladimir79 [104]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the answer for the three questions please help
ycow [4]
The driver can drive around the track 54 times for $12. Thus for one dollar, he can drive around the track 54/12 times, or 4.5 times. If for each dollar he drives around 4.5 times, for 8 dollars, he can drive around 8*4.5 or 36 times.

If there are 207 students in 9 classes, in 1 class, there are 207/9 students, or 23 students per class. Since there are 23 students per class and there are  classes, there are a total of 23*6 or 138 students in total.

Liam practices 24 times in 4 days. Thus he practices 24/4 or 6 times per day. His brother practices 12 times in 3 days. Thus he practices 12/3 or 4 times a day. Thus their rates are not equivalent.
7 0
3 years ago
A car is traveling at a speed of 72 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w
Kryger [21]

Answer:

1.2 kilometers per minute; 6 kilometers in 5 minutes

Step-by-step explanation:

To find the KM per minute, divide the speed per hour (72) by 60 (minutes in one hour)

72/60 = 1.2 KM per minute

To find the KM for 5 minutes, multiply the KM per minute (1.2) times 5 minutes: 1.2*5 = 6 KM

8 0
3 years ago
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