Question

Look at the graph of this system of equations: y = - x2 + 1 and y = x2. At which approximate points are the two equations equal?

Answer 1

Y=-x^2+1 and y=x^2

When the two curves intersect their coordinates will be equal, so we can say y=y whenever a solution exists, so:

x^2=-x^2+1  add x^2 to both sides

2x^2=1  divide both sides by 2

x^2=1/2  take the square root of both sides

x=±√(1/2), so there are two solutions, we can use x^2 to find the corresponding y values.

y=x^2, y=1/2 in each instance, so the two point where the curves intersect are:

(-√(1/2), 1/2) and (√(1/2), 1/2)  or if you want approximations....

(-0.7, 0.5) and (0.7, 0.5)

Answer 2

Answer: they are correct....

Step-by-step explanation: I know this cause I just took the mastery test and got it right.