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kow [346]
3 years ago
10

What are the potential solutions to the equation 2ln(x+3)=0

Mathematics
2 answers:
Korolek [52]3 years ago
7 0

Answer:

The answer is B (edge)

Step-by-step explanation:

skad [1K]3 years ago
4 0
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
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I need x+y=5 and y=2x-4solved algebraically
schepotkina [342]

Answer:

x = 3; y = 2

Step-by-step explanation:

x + y = 5

y = 2x - 4

<em>Isolate the y in the first equation</em>

y = 5 - x

y = 2x - 4

<em>Substitute the values</em>

5 - x = 2x - 4

<em>Isolate the Variable</em>

9 = 3x

<em>Simplify</em>

3 = x

<em>Plug that into the first equation</em>

3 + y = 5

<em>Subtract 3 from both sides</em>

y = 2

4 0
3 years ago
Read 2 more answers
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:
arsen [322]

Answer:

The factors of x^2+3x-4 are (x-1)(x+4) ....

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are -1 and 4.

Now completing the quadratic formula using the roots we have :

x^2+4x-x-4

Make a pair of first two terms and last two terms:

(x^2+4x)-(x+4)

Now take out the common from each pair:

x(x+4)-1(x+4)

(x-1)(x+4)

Thus the factors of x^2+3x-4 are (x-1)(x+4) ....

5 0
3 years ago
Read 2 more answers
Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312k
Zina [86]

Answer:

Speed of car B is 33 km/h and speed of car A is 45\,\,km/h

Step-by-step explanation:

Let speed of car B be x km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = (12+x) km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = 4(12+x) km = (48+4x) km

Distance travelled by car B in 4 hours = 4x km

Also, cars A and B are 312km apart after 4 hours.

48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h

Speed of car B is 33 km/h and speed of car A is 12+x=12+33=45\,\,km/h

5 0
2 years ago
1 kg = ___ g<br><br> A : 1<br> B : 10<br> C : 100<br> D : 1,000
zlopas [31]
D: 1000 grams

thats the answer
7 0
3 years ago
Find an equation of the line given one point and the slope. (–10, –5);
allochka39001 [22]
You forgot to provide the slope but here is how you do this 

the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x) 
=> (-5 - y) = -50 - (5)x --- add +5 to both sides 
=>  -y = (-50 + 5) - (5)x --- multiply both sides -1 
=> y = 5x + 45  --- this will be your equation. 
7 0
3 years ago
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