Given the function [tex]f(x)=x^2-2x-5[/tex] , determine the average rate of change of the function over the interval [tex]-5\leq x\leq 6[/tex]

PLEASE HELP ASAPP

Answers

Answer 1

Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1


Related Questions

The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin

Answers

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Learn more about horizontal line graph on:

https://brainly.com/question/15616095

what is the answer to
−1+8(−3+9)

Answers

Answer:42

Step-by-step explanation:

Shonda has $125. She spends 35% of the money she has on a concert ticket. How much did Shonda pay for the concert ticket?

Answers

Answer:

$43.75

Step-by-step explanation:

125 x .35 = $43.75

I need help with question 5

Answers

Answer:Hi!

where is the question?

       

Step-by-step explanation:

What is the slope of the equation: 5x – 2y = 20?

Answers

Answer:

y=5/2x -10

(5/2 - slope)

Step-by-step explanation:

hope it helps

Dak Prescott worked 40 hours last week at his regular $12.50 per hour rate. He got paid 2 times his regular pay for the 5 overtime hours he worked. What was his total gross pay last week?

Group of answer choices

$500

$625

$562.50

$510

Answers

500Step-by-step explanation:

Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.

Hope I helped:)

Find x if the line through the points (6, x) and (1,-5) has a slope of 2.

Answers

Answer:

Step-by-step explanation:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

y2 = x

y1 = -5

x2 = 6

x1 = 1

m = 2

Solution

2 = (x - - 5)/(6 - 1)

2 = (x + 5)/ 5                   Multiply both sides of the equation by 5

5*2 = 5(x + 5)/5              Simplify

10 = x + 5                         Subtract 5 from both sides

10-5 = x

x = 5

Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33

Answers

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

What is the value of x

Answers

Answer:

90-56= 34

good luck!

Answer:

90-56=34

Step-by-step explanation:

90 degrees minus the given amount of the other degrees will give u the answer 90-56=34

True or false

1: 4h and 4g are like terms: True or false?
2: 4x and 4xy are like terms. True or false?
3: the coefficient is the number by its self. True or false?
4: in the expression x-4+(-5x), the constant is 4. True or false?
5: in the expression x-4+(-5x), the constant is -4. True or false?
6: in the expression x-4+(-5x), the coefficient -5 is . True or false?

You dont need to explain the steps, if you like you may

Answers

Answer:

1 is true

2 is true

3 is true

4 is false

5 is true

6 is true

Write a function that represents the relationship between X and y shown in the graph below

Answers

Answer:  y = 3x-10

==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

HELPPP ASAP

A:60
B:75
C:10
D:30

Answers

Answer:

look at the photo...............

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true. ​

Answers

A is false but R is true (the mean of the last 3 values is not 8 since x=7)

Forty-five more than a number​

Answers

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

PLEASE HELP ME IM SORRY PLEASE

Answers

Hello! (:

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

5 less than 3.1 times a number n:

3.1n-5

Four more than the quotient of 12 and a number n:

n/12+4

Hope this helps you!

~SparklingFlower

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

Look at screenshot whoever is correct i will mark brainliest

Answers

Answer:

y+3=1/5(x+4)

Step-by-step explanation:

Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.

Point slope formula is y - y1 = m * (x - x1)

and so since we're given the slope (m), we simply plug it in.

y - y1 = 1/5 * (x - x1)

then we would plug in our x and y

(-4,-3)--> -4 is the x and -3 is the y

y+3=1/5(x+4) double negatives= a positive.

Let me know if you have any questions in the comment ;)

A point is plotted on a number line at 3.7. A second point is plotted at −5.5.

What is the length of the line segment joining these points?

Enter your answer as a decimal in the box.

Answers

Answer:

  9.2 units

Step-by-step explanation:

The length of the segment between the points is equal to the difference of their coordinates:

  3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units

Answer:

9.2

Step-by-step explanation:

5.5+3.7=9.2

Hope this helps!

Brainliest pls

Have a great day!

someone please help me with this question

Answers

Answer:

your answer would be 9

Step-by-step explanation:

please mark this as brainlists

Answer:

9

Step-by-step explanation:

Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5

Will give brainiest, need help

Answers

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

[tex]f(x)=53[/tex]

Step-by-step explanation:

For [tex]f(x)=10x-7\\[/tex] substitute x for 6

[tex]10\cdot 6=60\\60-7=53[/tex]

[tex]f(6)=53[/tex]

Y=2x + 11
Solve the problem.

Answers

[tex]y = 2 \times + 11 = x = - \frac{11}{2} [/tex]

Answer:

[tex]x = - \frac{11}{2} [/tex]

x= -11/2

this is also a linear function related to y=mx+b

Please help, thanks. I don't understand how to do this.​

Answers

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

Find the perimeter. Simplify your answer.

Answers

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

Someone help me please :(

Answers

Answer:

ok, but i can't even see nothing, though ;-;

Can someone help me with this please? It's due today!!

Answers

Answer:

in order so the line can pass through those point the equation has to be:

Y=6/3x+0

How to improve your class multiplication skills.

Answers

Answer:

PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!

The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.


please help and show working

Answers

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths

Answers

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k? what does it represent

Answers

Answer:

it represent the 10 pound and 4000 multiply = ans

A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?

Answers

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

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