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
What is the slope of the non-vertical lines?<br> m= ???
astraxan [27]
Oiajssisbsosbaoavaaoxhajsabzoahsh
7 0
3 years ago
Draw a graph of y= 2 - 1/2x
Zigmanuir [339]
To draw a graph of y=2-1/2x the point on the graph starts a 2 then the next point goes down because of the -1/2x so it would subtracting 0.5 from each previous point

8 0
3 years ago
Read 2 more answers
Evaluate 4(-9) i need help lol
PIT_PIT [208]

Answer:

-36

Step-by-step explanation:

How are you in college lol

8 0
3 years ago
Read 2 more answers
If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole
N76 [4]

Answer:

It would cost <u>15600</u> to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

<em>1.5 cup of coffee cost </em>1.5\times 0.40=0.60.

<em>Thus, 1.5 cup cost 0.60.</em>

<em>If, 100 people drink 1.5 cups. </em>

<em>Then, total cost of  100 people drinking 1.5 cups of coffee = </em>100\times 0.60=60<em />

<em>As, place is open 5 days a week.</em>

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

5\times 60\\\\=300.

<em>Hence, the cost of coffee in a week is 300.</em>

<em>In 1 year there are 52 weeks.</em>

Now, to get the cost for the whole year we multiply 52 by 300:

52\times 300\\\\=15600.

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0
3 years ago
Read 2 more answers
Hi I need help please
Nadusha1986 [10]

Answer:  14 7/8

Step-by-step

I put the 4 1/4 into an improper fraction then did keep change flip

4 0
3 years ago
Read 2 more answers
Other questions:
  • Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of th
    6·1 answer
  • N divided by 100 = 7.6
    10·1 answer
  • Find the sum of 9 and 20 on number line
    10·1 answer
  • Write two additional equations that are equivalent to: 3x - 5 = 2x + 1
    13·1 answer
  • Lots of points and brainliest!!!
    5·2 answers
  • Find each of the angle measures of the polygon with the angles of (x-5) (x+35) 1.4x and x
    15·1 answer
  • Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had
    5·1 answer
  • What is the slope of the line through the points (-2, -1) and (4, 3)?<br> HELP ITS FOR AN EXAM
    15·1 answer
  • Can you guys check if my answer is right please? Will give brainiest to best answer
    13·1 answer
  • Multiply 2/3 by 42,and then multiply that product by 10​<br><br> Need to see the steps.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!