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
Elza [17]
3 years ago
10

100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from

x = 5 to x = 9? Show your work.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)

f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85

3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)

x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0

x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2

Step-by-step explanation:

You might be interested in
What is the answer to 1.1x + 1.2x - 5.4 = -10
lord [1]
1.1x+1.2x-5.4=-10

11/10x+12/10x-54/10=10

11x/2.5+2^2-1*3/5x-3^3/5=-10

(11x)+2(2*3x)+2(-3^3)/2*5=-10

11x+2(6x)+2(-27)/2*5=-10

11x+2*6x-2*27/2*5=-10

11x+12x-54/2*5=-10

23x-54/2*5=-10

23x-54=-100

23x=-46

23x/23=-46/23

x=-2*23/23

x=-2
8 0
3 years ago
Read 2 more answers
Simplify:<br> 2(xy - 7) = [?]<br> x = -1 and y = 3
fiasKO [112]

Answer:2(xy-7)= -20

Step-by-step explanation:

Plug in -1 for x and 3 for 3, as the question says that x and y represent those values.

2(xy-7) = ?

2((-1)(3) - 7) = ?

2(-3-7)=?

2(-10)

-20

2(xy - 7) = -20

5 0
3 years ago
Which expression is equivalent to 3y+4+y
Colt1911 [192]
The answer to this question is 4y+4
8 0
3 years ago
A(n) = 1 + (n –1)(–5.7)
hammer [34]
Im guessing this is simplify so the answer would be 

<span><span>−<span>5.7n</span></span>+6.7</span><span>n
</span>__________
         n
6 0
3 years ago
Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.
telo118 [61]
<h2>Answer with explanation:</h2>

<u>Sample size--</u>

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.

This means that the possible outcomes are given as follows:

(Red,1)          (Green,1)           (Yellow,1)

(Red,2)         (Green,2)          (Yellow,2)

(Red,3)         (Green,3)           (Yellow,3)

(Red,4)         (Green,4)           (Yellow,4)

(Red,5)         (Green,5)           (Yellow,5)

(Red,6)         (Green,6)           (Yellow,6)

This means that the total number of outcomes are: 18

Hence, the sample size for this compound event is:  18

(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1)          (Green,1)           (Yellow,1)           (Blue,1)

(Red,2)         (Green,2)          (Yellow,2)          (Blue,2)

(Red,3)         (Green,3)           (Yellow,3)          (Blue,3)

(Red,4)         (Green,4)           (Yellow,4)          (Blue,4)  

(Red,5)         (Green,5)           (Yellow,5)          (Blue,5)

(Red,6)         (Green,6)           (Yellow,6)          (Blue,6)

Hence, the total number of outcomes are:  24

The sample size of this compound event would be 24.

8 0
3 years ago
Other questions:
  • The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i
    6·1 answer
  • What is greater, 3/5r 4/10?
    12·1 answer
  • What is the value of the digit 4 in the number 84230
    12·2 answers
  • What is the radian measure of 205°? Express your answer as a fraction.
    11·1 answer
  • Eya is 7 less than threee times bills age.if eya is 17 how old is bill
    15·2 answers
  • I<br> =<br> ∫<br> 1<br> 0<br> √<br> 1<br> −<br> x<br> 2<br> d<br> x
    9·1 answer
  • Which of the following expressions has a positive value?
    13·1 answer
  • What is the square root of 64y16?<br> 6 OF<br> O 4y4<br> 4y8<br> 8y4<br> O<br> O 8y8
    9·2 answers
  • A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field
    12·1 answer
  • Answer the following.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!