1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KiRa [710]
3 years ago
12

Compare the functions shown below: f(x) = (x + 3)2 − 2 g(x) linear graph with y intercept of negative 3 over 2 and x intercept o

f 3 h(x) x y −3 2 −2 7 −1 14 0 23 1 34 2 47 3 62 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?
Mathematics
1 answer:
EleoNora [17]3 years ago
3 0
By definition we have the average rate of change is:
 AVR = (f (x2) -f (x1)) / ((x2) - (x1))
 Then, for each function we have:

 For f (x):
 f (x) = (x + 3) ^ 2 - 2
 For x = -1
 f (-1) = (-1 + 3) ^ 2 - 2
 f (-1) = (2) ^ 2 - 2
 f (-1) = 4 - 2
 f (-1) = 2
 For x = 3
 f (3) = (3 + 3) ^ 2 - 2
 f (3) = (6) ^ 2 - 2
 f (3) = 36 - 2
 f (3) = 34
 AVR = ((34) - (2)) / ((3) - (- 1))
 AVR = 8

 For g (x):
 linear graph with and intercept of negative 3 over 2 and x intercept of 3
 y = mx + b
 b = -3/2
 For me we have:
 0 = m (3) - 3/2
 3m = 3/2
 m = 1/2
 The function g (x) is:
 g (x) = (1/2) x - 3/2
 For x = -1
 g (-1) = (1/2) (- 1) - 3/2
 g (-1) = -1/2 - 3/2
 g (-1) = -4/2
 g (-1) = -2
 For x = 3
 g (3) = (1/2) (3) - 3/2
 g (3) = 3/2 - 3/2
 g (3) = 0
 AVR = ((0) - (- 2)) / ((3) - (- 1))
 AVR = 1/2

 For h (x):
 Using the table we have:
 AVR = ((62) - (14)) / ((3) - (- 1))
 AVR = 12

 from least to greatest:
 1) g (x)
 2) f (x)
 3) h (x)

 Answer:
 The correct order of the functions from least to greatest is:
 
1) g (x)
 
2) f (x)
 
3) h (x)
You might be interested in
The circumference of a circle is just ?
Juliette [100K]

Answer:

The formula is  C = πd

π = pie

d= diameter

C =circumference

7 0
2 years ago
Read 2 more answers
The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of th
sweet-ann [11.9K]
China plate is 12 years (16-4) and Glass plate is 4 years (12÷3)
8 0
3 years ago
True or False? A right triangle can have a leg measuring 10cm and a hypotenuse measuring 10cm
Citrus2011 [14]
True, and it's called an isosceles right triangle :D
5 0
3 years ago
SELECT ALL of the Angles that are supplementary to Angle 7<br> **NO LINKS**
sergejj [24]

Answer:

The angles are 6,4,8and2 hope this helps

5 0
3 years ago
Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commissio
Nastasia [14]

The commission earned are R41123.17, R47931.67 and R15024.09

<h3>The prices of the cars before VAT was added</h3>

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

<h3>The commission he earned on the cars.​</h3>

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

Read more commission at:

brainly.com/question/20987196

#SPJ1

3 0
2 years ago
Other questions:
  • What is the next value 4 D 7 G 10 J 13
    5·1 answer
  • Write out the first 5 outpouts of g(x)=2^x starting with G(1). If only you knew that the value of g(15) how would you determine
    12·1 answer
  • A soccer uniform costs $4.12 for the shirt and $5.26 for the shorts. What is the total cost of 5 uniforms​
    5·1 answer
  • Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y-7x)= 7x^2-10y^2-2x What error did Marcus make?
    5·2 answers
  • Perimeter of rectangle is 48 inches area is 40 inches what are the length of the side
    10·1 answer
  • "Simplify the expression.<br><br> (7 – c)(–1)<br><br> –7 – c<br> 7 + c<br> 7 – c<br> –7 + c"
    8·1 answer
  • Round 14.5 to a whole number
    11·1 answer
  • Solve for x.<br> 8<br> 6<br> X<br> A<br> 100<br> В<br> 10<br> С<br> 5.3<br> D<br> 14
    12·1 answer
  • John saves $108<br> each month. How<br> much will he save in<br> a year?
    10·2 answers
  • Find volume. Use 3.14 to find the approximate volume. Enter your answer as a decimal in the box.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!