Given the function g(x)=-x^2-3x+4g(x)=−x 2
−3x+4, determine the average rate of change of the function over the interval -6\le x \le 5−6≤x≤5.

Sam is a waiter at a local restaurant where he earns wages of $5 per hour sam figures that he also eams about $3 in tips for each person he serves sam works 6 hours on a particular day. if n represents the number of people sam serves that day, which of the following functions could sam use to figure ehis total earings for the do o a. en) = 30 o b. en) = 5n+ 18

Atype of plant is introduced into an ecosystem and quickly begins to take over. a scientist counts the number of plants after mmonths and develops the equation p(m)= 19.3(1.089)^m to model the situation. most recently, the scientist counted 138 plants.assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants werefirst introduced? a)o 6.1b)0.6.6c)10 72d)o 23.1

Akid's pool is cylindrical and has a radius of 5 feet and a height of 2 feet. if a cubic foot holds about 7.48 gallons of water, how many gallons of water does the kid's pool hold? 21 gallons 52.3 gallons 1,174,4 gallons 157 gallons