1) the dragon family lives 165 miles away from the castle, and it takes them 3 hours to fly over there. what is their average rate of change for the trip? 2) a flock of griffins are flying together along the same route as the dragons. griffins have the head and wings of an eagle, but the body of a lion, and they tend to fly much more slowly than dragons. the dragons catch up to the griffins after 1.5 hours of traveling, and the dragons' speed at the moment is slowed to 35 miles per hour. what does the speed represent? a. an average rate of change at 1.5b. an average rate of change between 0 and 1.5.c. an instantaneous rate of change between 0 and 1.5.d. an instantaneous rate of change at 1.53) after slowing down, the dragons could fall behind on their journey. what do the dragons need to do in order to ensure that their average rate of change stays the same for the trip?and much appreciated : )

1) Speed is measured in distance units divided by time units, such as miles per hour. Here, you're given the number of miles traveled and the number of hours it takes, so you can figure tha average speed to be

... speed (or "rate of change") = distance/time = 165 mi/(3 h) = 55 mi/h

2) "speed at the moment" 1.5 hours into the flight means ...

... d. an instantaneous rate of change at 1.5

3) To keep their average speed on target, the dragons must travel at higher than their average speed for a while.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: 0.26

i used the calculator on google