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Solve each equation by graphing both sides of the equation or inequality

6. -3x^2+9
7. (x-2)^2-10 ≤ (x-6)^2-2

Solve each equation by graphing both sides of the equation or inequality 6. -3x^2+9 7. (x-example-1
User Raouf Rahiche
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1 Answer

16 votes
16 votes

Answer:

see below

Explanation:

6.
-3x^2+9=-3


-3x^2 =-12


x^2=4


x= ±
2

Solution:
x=2, x=-2

Points of intersection: (2, -3) and (-2, -3)

7.
(x-2)^2-10\leq (x-6)^2-2


x^2-4x+4-10\leq x^2-12x+36-2


-4x-6\leq -12x+34


8x\leq 40


x\leq 5

Solution:
x\leq 5

Point of intersection is (5, -1)

Solve each equation by graphing both sides of the equation or inequality 6. -3x^2+9 7. (x-example-1
Solve each equation by graphing both sides of the equation or inequality 6. -3x^2+9 7. (x-example-2
User Danika
by
2.8k points