To find the average rate of change, use the following formula:

a and b represent the values of the interval:

Simplify the original equation by combining like terms:


Plug the interval values into the f(x) equation:


Plug in these values into the average rate of change formula:

The average rate of change over this interval is
-11.
Answer:
The cost of house was $245000 when it was built.
Step-by-step explanation:
Given that:
Cost of the house today = $333200
Percent increase in today's price = 36%
Let,
x be the cost of house when it was built.
100 be the percentage when the house was built.
Percentage of house price today = (100+36)% = 136%
136% of x = 333200

Dividing both sides by 1.36

Hence,
The cost of house was $245000 when it was built.
Answer:

Step-by-step explanation:
V = volume
r = rate
t = time
Use formula
connecting volume, rate and time.
In your case,
cup of water
hours
r is unknown.
Substitute all data into the formula:
![\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C2%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%3D3r%5C%20%5B%5Ctext%7BMultipled%20by%202%7D%5D%5C%5C%20%5C%5C3r%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%20%5B%5Ctext%7BDivided%20by%203%7D%5D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcups%20per%20hour%7D)
Answer:
x=43°
Step-by-step explanation:
The angles are adjacent and create a straight line so their sum is 180°.
(x+6)°+(3x+2)°=180°
x°+6°+3x°+2°=180°
4x°+8°=180°
4x°=172°
x=43°
Answer:
The density of ice is 0.9167 g/cm3
Step-by-step explanation: