Answer:
see below
Step-by-step explanation:
6. [tex]-3x^2+9=-3[/tex]
[tex]-3x^2 =-12[/tex]
[tex]x^2=4[/tex]
[tex]x=[/tex] ±[tex]2[/tex]
Solution: [tex]x=2, x=-2[/tex]
Points of intersection: (2, -3) and (-2, -3)
7. [tex](x-2)^2-10\leq (x-6)^2-2[/tex]
[tex]x^2-4x+4-10\leq x^2-12x+36-2[/tex]
[tex]-4x-6\leq -12x+34[/tex]
[tex]8x\leq 40[/tex]
[tex]x\leq 5[/tex]
Solution: [tex]x\leq 5[/tex]
Point of intersection is (5, -1)
