For the first question, the likely outcome of Denerio giving the cart a hard shove is:
The force of Denerio's shove will add to the force of Ahlayia's pushing and the cart will move faster.
This response is accurate because according to the laws of physics, when two forces act in the same direction, they combine to produce a greater force, resulting in increased acceleration of the cart.
As for the second question, without seeing the images, I can't directly choose which two depict Newton's First Law. However, Newton's First Law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by a net external force. Look for images that illustrate an object remaining still or in motion despite external forces. Select two that best represent this principle. If you describe the images, I could help you determine which ones apply.