The average rate of change of on the interval [a,b] is:
f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope
so you would plug your numbers into x
1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25
2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50
3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25
so your average rate of change(or slope) is 25 :)
Answer:
a line from -23 to the positive numbers
Step-by-step explanation:
Answer:
4 hours.
Step-by-step explanation:
If Robbie earns 12 dollars per hour, it will take him 4 hours to earn 48 dollars. This is because 48/12 = 4.
Answer: the height of the helicopter is 22.33 yards
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.
H represents the height of the helicopter.
x + y = 52
x = 52 - y
We would apply trigonometric ratio.
tan # = opposite side/adjacent side.
Tan 48 = H/x
H = xtan48
H = tan48×(52 - y)
H = 1.1106(52-y)
Also,
Tan 35 = H/y
H = ytan35
H = 0.7002×y
H = 0.7002y
Since H = H, therefore
1.1106(52-y) = 0.7002y
57.7512 - 1.1106y = 0.7002y
0.7002y + 1.1106y = 57.7512
1.8108y = 57.7512
y = 57.7512/1.8108
y = 31.89
Recall,
H = 0.7002y
H = 0.7002 × 31.89 = 22.33 yards