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
sveta [45]
3 years ago
8

For each function, use the slope formula to calculate the rate of change between the points. In your final answer, include all o

f your calculations.
f(x):

(a, f(a) and (b,f(b)

1.) f(x)=x - 3 (0,f(0)) and (6,f(6))
2.) f(x) = -x (-4,f(-4)) and(2,f(2))
3.) f(x)=x2 (-2,f(-2)) and (0,f(0))
4.) f(x)=x3 (-1,f(-1)) and (1,f(1))
5.) f(x)=2x (0,f(0)) and (4,f(4))
Mathematics
1 answer:
FrozenT [24]3 years ago
8 0
Function 1: 

f(x) = x - 3
f(0) = 0 - 3 = -3
f(6) = 6 - 3 = 3

Slope = \frac{-3-3}{6-0} = \frac{-6}{6} =-1

Function 2:

f(x) = -x
f(-4) = 4
f(2) = -2

Slope = \frac{4--2}{-4-2}= \frac{6}{-6}=-1

Function 3:

f(x) = x²
f(-2) = (-2)² = 4
f(0) = (0)² = 0

Slope = \frac{4-0}{-2-0}= \frac{4}{-2}=-2

Function 4:

f(x) = x³
f(-1) = (-1)³ = -1
f(1) = (1)³ = 1

Slope = \frac{-1-1}{-1-1}= \frac{-2}{-2}=1

Function 5:

f(x) = 2ˣ
f(0) = 2⁰ = 1
f(4) = 2⁴ = 16

Slope = \frac{1-16}{0-4}= \frac{-15}{-4}=3.75
You might be interested in
Evaluate the expression 9P1
garri49 [273]

Answer :

9

Explanation :

The expression above signifies the Permutation expression

Permutation expression is given as nPr

The Permutation expression is calculated as:

nPr = P(n, r) = n! / (n - r)!

It the above question, we were asked to evaluate the expression 9P1

From the above question, we can see that:

n = 9 and r = 1

Therefore, the expression

9P1 = 9! / ( 9 - 1) !

9P1 = 9! / 8!

= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 362880 /40320

= 9

Therefore, the evaluation of the expression 9P1 = 9

4 0
3 years ago
Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equatio
arsen [322]

Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

4 0
2 years ago
Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 230 tests, how many s
leva [86]
Z score = 66 - 76
               ----------  = - 1
                   10 

from the tables of normal distribution  this corresponds to 0.34-3 of the area under the normal curve 
so reuired number od students = 0.3413 * 230  = 78
3 0
4 years ago
Read 2 more answers
Choose the inequality that represents the following graph.
dusya [7]

Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

6 0
3 years ago
Milk cartons come in crates of 24. how many crates does a school need to order to serve to 400 students
krok68 [10]

divide 400 by 24

400 / 24 = 16.666

 so they would need to buy 17 crates

8 0
3 years ago
Other questions:
  • Two cylindrical containers are shown. Container A has radius r and height h and holds a maximum of 42 ounces of water. Container
    12·1 answer
  • What is the maximum number of it boxes that can be hauled by the cargo truck?
    10·1 answer
  • A photograph is reduced by a scale factor of 3/4. If the original length of the photograph was 18 inches, what is the length of
    12·1 answer
  • Rituparna Banerjee
    7·1 answer
  • How do you simplify this –34–23a+16a
    11·2 answers
  • What is the explicit tule for this sequence?
    8·1 answer
  • Name Age
    9·1 answer
  • PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
    12·2 answers
  • A dentist surveyed ten 9 year old patients to see How Many Teeth they have lost so far. The results were: 4, 3, 4, 8, 8, 12, 9,
    13·1 answer
  • What is the measure of DA? 15 90 105 165
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!