Give a proof using mainly English and the names of proofs, using arithmetic equations as examples of the theorems and axioms used, to prove that for every natural number m, 1*m = m, using a proof by induction, the definition of multiplication (of nat's), and any other theorems/axioms you deem necessary. Keep it concise but accurate

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

Aformual for 8 bottles of window cleaner calls for 6 cups of rubbing to customers alcohol 2 1/4 gallons of water and 1 1/2 cups of ammonia alcohol would the forula call if a factory made 1,280 bottles for stores to sell to customers

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.