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
irga5000 [103]
3 years ago
13

Find average rate of change f(x)=x^(2)-3x-4 ; [-1,3]

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= x^2-3x-4\qquad \begin{cases} x_1=-1\\ x_2=3 \end{cases}\implies \cfrac{f(3)-f(-1)}{3-(-1)} \\\\\\ \cfrac{[(3)^2-3(3)-4]~~-~~[(-1)^2-3(-1)-4]}{3+1} \\\\\\ \cfrac{[-4]~~-~~[1+3-4]}{4}\implies \cfrac{[-4]-[0]}{4}\implies -1

You might be interested in
What is x if [-1 -2 4 8] + X =[-5 -1 2 1]
Scilla [17]

Answer:

X = [-5 -1 2 1] - [-1 -2 4 8] = [-4 1 -2 -7]

8 0
4 years ago
The weights (in pounds) of 18 preschool children are
ivanzaharov [21]

Answer:

22.8 and 37.5

Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position  X (Asc. Order)

1  20

2  21

3  22

4  23

5  24

6  25

7  27

8  29

9  30

10  31

11  32

12  33

13  34

14  37

15  39

16  41

17  44

18  45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = 22+0.8(23-22)=22.8

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= 37+0.25(39-37)=37.5

6 0
3 years ago
PLSS HELPP BRAINLIEST AND 65 POINTS <br> pls do the graph too
Eddi Din [679]

Answer:

\Large \boxed{ -x+65}

Step-by-step explanation:

Two points are (0, 65) and (10, 55)

Calculate slope <em>m</em>

\displaystyle m=\frac{y_2 - y_1}{x_2 - x_1}

\displaystyle m=\frac{55-65}{10-0}=-1

Use slope-intercept form

y=mx+b

y=-1x+b

<em>b</em>  is the y-intercept, y-intercept is (0,65)

y=-1x+65

5 0
3 years ago
Help I need the answers
jolli1 [7]
240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2
7 0
4 years ago
Read 2 more answers
Which relation represents a function?
Tom [10]
C is the rigth answer because all the other three has two x values in common. :)
8 0
3 years ago
Other questions:
  • Jackson has a credit card with a 15% interest rate. his dad has a credit card with 5% interest rate. if they both charge $1000 h
    5·1 answer
  • HELP ME PLEASE PLEASE I NEED HELP
    10·1 answer
  • HELP YA GIRL PLZZZZ I WILL REWARD
    15·1 answer
  • The ratio ½ is in simplest form.&gt; true or false
    14·2 answers
  • Dave determines the meal he ordered at the restaurant contains 14% of his daily sodium intake. If the meal contains 185 mg of so
    15·1 answer
  • (3k - 6)(5k² + 7k - 4) *
    11·1 answer
  • At 12:00 a.m. the temperature was 0° F. By 4:00 a.m., the temperature dropped to five degrees
    7·1 answer
  • There is a lot of poins pleas help meee​
    15·2 answers
  • Drag the brands to order them from Least to Greatest cost for 1 bag
    14·1 answer
  • Jaden sings in the school choir. The choir has 54 members. Two thirds of the members are girls. How many girls are in the choir?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!