1. A firework is launched inside a large shed with a sloping roof.  In relation to the horizontal distance from the point it was launched, the height of the firework, $h$ m, can be modelled by the quadratic equation

 $h=0.84x-0.07{x}^{2}$

The sloping roof of the shed can be modelled with the equation

 $h=2+0.1x$

Determine whether, according to the model, the firework will hit the roof of the shed before escaping out the open end of the shed on the right of the diagram.