find the points of intersection of the graphs of the functions. (round your answers to three decimal places.) f(x) = 0.4x^2 − 1.2x − 1; g(x) = −0.1x^2 + 0.8x + 8.5

Answer 1

0.4x^2-1.2x-1=-0.1x^2+0.8x+8.5

0.5*x^2-2x-9.5=0

x = -b +- sqrt(b^2-4ac) all over 2a

= 2 +- sqrt(4-4*0.5*-9.5)/(2*0.5)

= 2 +- sqrt(23)

= 2 +- 4.7958315233

x = 6.7958315233 or -2.7958315233

0.4 (6.7958315233)^2-1.2(6.7958315233)-1

(6.796, 9.318) is first point found

0.4 (-2.7958315233)^2 -1.2 (-2.7958315233)-1

(-2.796, 5.482) is second point.

Therefore, the answer is (6.796, 9.318) and (-2.796, 5.482)

Answer 2