Answer:
- 7
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 5, - 2 ]
f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0
f(a) = f(- 5) = (- 5)² - 4 = 25 - 4 = 21, thus
average rate of change =
=
= - 7
Answer: 2.5 or 2 1/2
Step-by-step explanation:
You can convert the mixed fractions to decimal numbers:
- Divide the numerator by the denominator of the fraction.
- Add the result to the whole number.
Thenyou have:
Barbara's time: 
Donna's time: 
Cindy's time: 
Nicole's time: 
As you can see, the fastest girl is Cindy and the slowest girl is Nicole.
Then, you must make the following subtraction to calculate the difference:
or 2 1/2
Answer:
54 students
Step-by-step explanation:
First, change the percent to a decimal.
12% = 0.12
Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.
450 × 0.12 = 54
54 students stay after school for Comedy Club.
Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = 
<u><em>Where Area = 12 cm², Base = 4 cm</em></u>
12 = 
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, <u><em>AD is parallel and equal to BC</em></u>
<u><em></em></u>
So,
f = 10 cm
<u><em>Now, Finding g</em></u>
Area of ABCD = 
<u><em>Where Area = 48 cm², Base = 10 cm</em></u>
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm