Answer:
Kaylaa do you use desmos graphing calculator? it's an online graphsing tool and would make this very easy for you. Maybe you are not allowed to use a calculator?
Step-by-step explanation:
with out a calculator it's a long math process, 1st because each of the equations are equal to Y, we can set each of them equal to each other. like this
[tex]\sqrt{x-8}[/tex] + 3 = - [tex](x-5)^{2}[/tex] + 18
[tex]\sqrt{x-8}[/tex] = - [tex](x-5)^{2}[/tex] +18 -3
[tex]\sqrt{x-8}[/tex] = - [tex](x-5)^{2}[/tex] + 15
[tex]\sqrt{x-8}[/tex] = -[ (x-5)*(x-5) ] + 15
[tex]\sqrt{x-8}[/tex] = -[ [tex]x^{2}[/tex] - 10x + 25] +15
[tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -25 +15
[tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -10
- [tex]\sqrt{x-8}[/tex] = [tex]x^{2}[/tex] - 10x +10
(- [tex]\sqrt{x-8}[/tex])^2 = ( [tex]x^{2}[/tex]- 10x +10)^2
this turns into a 4 order polynomial. I used a solver to find x
x = 8.75884.... approx
so the question asks what is the point at the nearest 1000th, which is 8.759
then they ask what is the point at the nearest 100th, which is
8.76
I'm attaching the graph, if it helps :P
