Question

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit

Answer 1

The solutions are (-3.3, 3.3) and (3, 3).

Explanation:

Given functions are:-

f(x) = (x-6)/(-x²+8)

g(x) = |x|

To find the solution for this system of equations, we can set them equal and solve for values of x.

f(x) = g(x)

(x-6)/(-x²+8) = |x|

To solve this using technology, we can use graphing calculators and graph both functions to see where they intersect on graph paper.

The graph is attached below.

Hence, options A and D are correct, i.e. the solutions are (-3.3, 3.3) and (3, 3).