Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function
over [2,4]
The rate of change is the slope of the line,
So, ![\text{Rate of change}=\frac{f(4)-f(2)}{4-2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7Bf%284%29-f%282%29%7D%7B4-2%7D)
![f(4)=-3(4)+79](https://tex.z-dn.net/?f=f%284%29%3D-3%284%29%2B79)
![f(4)=-12+79](https://tex.z-dn.net/?f=f%284%29%3D-12%2B79)
![f(4)=67](https://tex.z-dn.net/?f=f%284%29%3D67)
![f(2)=-3(2)+79](https://tex.z-dn.net/?f=f%282%29%3D-3%282%29%2B79)
![f(2)=-6+79](https://tex.z-dn.net/?f=f%282%29%3D-6%2B79)
![f(2)=73](https://tex.z-dn.net/?f=f%282%29%3D73)
Substitute,
![\text{Rate of change}=\frac{67-73}{4-2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7B67-73%7D%7B4-2%7D)
![\text{Rate of change}=\frac{-6}{2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7B-6%7D%7B2%7D)
![\text{Rate of change}=-3](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D-3)
Therefore, The average rate of change is -3.
Answer:
thousandth
Step-by-step explanation:
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations:
x+y=118 ⇒x=118-y
7.5x+3y=696
we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42
x=118-y
x=118-42
x=76
Answer: the number of adult tickets sold was 76.
Answer:
400
Step-by-step explanation
First, find how many cycles 5 man can make in 8 days.
400/2=200 (/ means divide)
Next, mutliply the answer to find out how many cycles 5 man can make in 16 days.
200x2=400
The answer is 90 + 45 because BOC is a right angled triangle where angle BOC is 90 and angle BOK is 45 because 90 ÷2. A OK Is a right angled triangle so angle AOB is 90 as well so to find angle AOK we plus 90 and 45 which is 135 degrees.