Answer:
9.9
Step-by-step explanation:
The book is in motion. Hope this answers your question!
Answer:
Step-by-step explanation:
1. Do what is inside the parantheses
![4^{2} +3+2\\16+3+2 = 21](https://tex.z-dn.net/?f=4%5E%7B2%7D%20%2B3%2B2%5C%5C16%2B3%2B2%20%3D%2021)
![7^{2} +3(21)](https://tex.z-dn.net/?f=7%5E%7B2%7D%20%2B3%2821%29)
2. Simplify both terms
![7^{2} =49\\3(21) = 63\\49+63](https://tex.z-dn.net/?f=7%5E%7B2%7D%20%3D49%5C%5C3%2821%29%20%3D%2063%5C%5C49%2B63)
3. Solve
![49+63 = 112](https://tex.z-dn.net/?f=49%2B63%20%3D%20112)
Answer:
The correct answer is 6
Step-by-step explanation:
Divide 42 divided by 7 to get 6.
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.