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Sophie [7]
3 years ago
11

The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0
Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4


So we can set the equation as.

3x + 4 = 5x - 4


Subtract 3x on both sides of equation.

4 = 2x - 4


Add 4 on both sides of equation.

8 = 2x


Divide both sides of equation by 2.

4 = x


4 is the only value that satisfies the statement.
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The diameter of 0 gauge copper wire is 8.252 mm. Find the resistance (in ω) of a 2.40 km length of such wire used for power tran
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8 0
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8 0
3 years ago
Read 2 more answers
Solve logarithm equation please with steps.
fomenos
The first time I did it, I got an answer that's not one of the choices.  The second time
I did it, I got an answer that IS .  Here are both of my procedures.  If all you want is
the answer, look down below at the second one.  But if you could help me out, now
that you know how to do this stuff, please look at my first solution and tell me where
I messed up.  I can't find it.
=======================================================

Here's what the problem tells you:

D = 10 log ( ' I ' / 10⁻¹² )

D  = 60 . . . . . find ' I ' .

Here we go:

60 = 10 log ( ' I ' / 10⁻¹² )

Divide each side by 10 :

6 = log ( ' I ' / 10⁻¹² )

Raise 10 to the power of each side of the equation:

10⁶ = ' I ' / 10⁻¹²

Multiply each side by  10¹² :

10¹⁸ = ' I '     That's 10^18.  It looks bad, because that isn't one of the choices.

Let's try a slightly different procedure:

============================================

After substituting 10⁺¹² for I₀ , we're working with this formula:

           D = 10 log ( 'I' / 10⁺¹² )

Let's just look at the log part of that.

The log of a fraction is [ log(numerator) - log(denominator) ]

log of this fraction is [ log( 'I' ) - log(10⁻¹²) ]

But   log(10⁻¹²)  is just (-12) .

So the log of the fraction is [ log( 'I' ) + 12 ]

And the whole formula is now:

         D = 10 [ log( 'I' ) + 12 ]

60 = 10 [ log( 'I' ) + 12 ]

Divide each side by 10 :

6 = log( 'I' ) + 12

Subtract 12 from each side :

-6 = log ( ' I ' )

' I ' = 10⁻⁶

That's choice-'B' .

==================================================

I'm going to leave the first solution up there, in hopes that you, or one
of the many aces, experts, and geniuses that prowl this site constantly,
can weigh in and show me my blunder on the first attempt.


 





5 0
3 years ago
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