True if by confidence you mean the margin of It being correct,If not Its false
Answer:
1/2x
Step-by-step explanation:
The <em><u>correct answer</u></em> is:
non-extraneous
Explanation:
An extraneous solution is one that we arrive at that will not work in the equation. For rational equations such as we have, extraneous solutions are ones that will cause the denominator to be 0. For ours, that would mean x=-5.
The equation we have is:
![\frac{3}{x+5}+\frac{1}{5}=\frac{2}{x+5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B5%7D%2B%5Cfrac%7B1%7D%7B5%7D%3D%5Cfrac%7B2%7D%7Bx%2B5%7D)
We will multiply everything by (x+5) in order to get that off the bottom of the fractions:
![\frac{3}{x+5}\times (x+5)+\frac{1}{5}\times (x+5)=\frac{2}{x+5}\times (x+5) \\ \\3+\frac{x+5}{5}=2](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B5%7D%5Ctimes%20%28x%2B5%29%2B%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%28x%2B5%29%3D%5Cfrac%7B2%7D%7Bx%2B5%7D%5Ctimes%20%28x%2B5%29%0A%5C%5C%0A%5C%5C3%2B%5Cfrac%7Bx%2B5%7D%7B5%7D%3D2)
Multiply all terms by 5 to eliminate the fraction:
![3\times 5+\frac{x+5}{5}\times 5=2\times 5 \\ \\15+x+5=10](https://tex.z-dn.net/?f=3%5Ctimes%205%2B%5Cfrac%7Bx%2B5%7D%7B5%7D%5Ctimes%205%3D2%5Ctimes%205%0A%5C%5C%0A%5C%5C15%2Bx%2B5%3D10)
Combine like terms:
20+x = 10
Subtract 20 from each side:
20+x-20 = 10-20
x = -10
Since this is not -5, this is not an extraneous solution.
Answer:
Domain: {-4, -3, 1 }
Step-by-step explanation:
As we know that domain of a relation basically consists of all the first elements or x-coordinates of order pairs.
As the relation is : {(-4, 3), (-4, 4), (-3, 1), (1, 1)}
So,
Domain: {-4, -3, 1 }
Note: We can not duplicate an element when we determine the domain of any relation. As -4 was present in first and second order pairs i.e. (-4, 3), (-4, 4). But, we have to write it only once when we write the domain of any relation.
So, the domain will be listed as:
Domain: {-4, -3, 1 }
Keywords: domain, relation
Learn more about domain from brainly.com/question/7783748
#learnwithBrainly
<span> x+4 5+4 9
-------- = ------------ = --------
10-x 10 - 5 5</span>