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belka [17]
3 years ago
11

How many solutions does this equation have? a+3+2a=-1+3a+4

Mathematics
1 answer:
Flura [38]3 years ago
6 0
Let's start by cleaning up this equation to make it easier to read by putting all the variables on one side and everything else on the other side using subtraction and addition. Then simplify.
1) Original equation 
<span>a + 3 + 2a = -1 + 3a + 4

2) Subtract 3 from both sides
a + 2a = -3 - 1 + 3a + 4

3) Subtract 3a from both sides
a + 2a - 3a = -3 - 1 + 4

4) Simplify
3a - 3a = -4 + 4
0 = 0

Since 0 = 0 is always true, this equation as an unlimited number of solutions. No matter what you put in for the variable a, it will all cancel out, and you'll get 0 = 0!

------

Answer: Infinite number of solutions

</span>
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If someone could please help me, I want to make sure that the steps are correct.
Leya [2.2K]
Your answer would be the last option, c = √(E/m).

We can see this when we rearrange the equation, as:

E = mc²
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E/m = c²
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√(E/m) = c

So you got all the steps in rearranging correct :)


I hope this helps!
7 0
3 years ago
What is the greatest common factor of 63b^2c^4 and 42b^3c^2
Arte-miy333 [17]

Factor out the GCF of  

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Tap for fewer steps...

Factor out the GCF of  

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from each term in the polynomial.

Tap for fewer steps...

Factor out the GCF of  

21

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2

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2

from the expression  

63

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21

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(

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+

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Factor out the GCF of  

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2

c

2

from the expression  

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b

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c

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.

21

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c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of  

21

b

2

c

2

, it can be factored out of each term.

21

b

2

c

2

(

3

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6 0
3 years ago
Read 2 more answers
a package of 8 rechargeable batteries cost 12. at the rate how much would 20 rechargeable batteries would cost
Anettt [7]

Step-by-step explanation:

8 battery =12

20 battery =?(x)

8x=240

x=240÷8

x=30

for 20 battery..it would cost 30

5 0
3 years ago
If a hose is filling a swimming pool at a rate of 20 liters per minute, how long will it take to fill the 3,600-gallon pool?
Cloud [144]

Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.

Step-by-step explanation:

An American gallon has 3.78541 liters.

3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters

We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes

681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.

7 0
3 years ago
Evaluate each function.<br> 14) g(x)= 3x² - 1; Find g(-3)
adelina 88 [10]

g(x) =3x^2 -1\\\\g(-3)=3(-3)^2 -1 \\ \\~~~~~~~~~=3(9) -1 \\\\~~~~~~~~~=27-1\\\\~~~~~~~~~=26

5 0
2 years ago
Read 2 more answers
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