## NikkiBxox one year ago Checking for Extranuous Solutions Help Among Other Things. Will give Medals! 1.) Solve 9|9-8x|=2x+3 and check for extranous solutions 2.) Which equation defines the graph of y=x^2 after it is shifted vertically 3 units up and horizontally 2 units right? a) y=(x+2)^2+3 b) y=(x-3)^2+2 c) y=(x-2)^2+3 d) y=(x+3)^2+2 3.) A candle is 17 in tall after burning for 3 hours. After 5 hours it is 15 inches tall. Write a linear equation to model the relationship between height (h) and the time(t). Predict the height of the candle at 8 hours. Show all work and Explain, Please! Thank you!

1. NikkiBxox

@texaschic101

2. NikkiBxox

@carlyleukhardt

3. logan13

ill help u if you help me

4. NikkiBxox

@dan815

5. NikkiBxox

6. Owlcoffee

For number (1), we have to take in consideration the very definition of Absolute value: $9\left| 9-8x \right|=2x+3$ And the definition of absolute value is: $$\left| \alpha \right|=$$ $$\alpha , x \ge 0$$ $$-\alpha , x<0$$ So, therefore, we have to consider two scenarios for the solution of the equation: $(1) \rightarrow 9(9-8x)=2x+3$ $(2) \rightarrow (-9)(9-8x)=2x+3$ And you solve them both independantly to get the solutions.

7. NikkiBxox

Thanks!!

8. DanJS

do you know what the extraneous solutions could be if any