The answer would be — m>/-3
——the arrow is pointing to all numbers larger than -3, including -3
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval
is equal to
, hence:
![\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5C%5Cfrac%7Bf%289%29-f%285%29%7D%7B9-5%7D%5C%5C%5C%5C%5Cfrac%7B14-%28-4%29%7D%7B9-5%7D%5C%5C%20%5C%5C%5Cfrac%7B14%2B4%7D%7B4%7D%5C%5C%20%5C%5C%5Cfrac%7B18%7D%7B4%7D%5C%5C%20%5C%5C%5Cfrac%7B9%7D%7B2%7D)
Therefore, the average rate of change of
over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:
![\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%20%5C%5C%5Cfrac%7Bf%281%29-f%280.25%29%7D%7B1-0.25%7D%5C%5C%20%5C%5C%5Cfrac%7B2-5%7D%7B0.75%7D%5C%5C%20%5C%5C%5Cfrac%7B-3%7D%7B0.75%7D%5C%5C%20%5C%5C-4)
Therefore, the average rate of change of
over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
Answer:
12
Step-by-step explanation:
Remark
I can't use a symbol for the currency. I'll just get the answer in numbers. You can add the symbol.
Solution
First day: 50
Second day: - 20
Third day: - 18
50 - 20 - 18 = 12
Answer: Should be -5
Step-by-step explanation:
Answer:
Equation: y =
x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water