Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.


Related Questions

Simplify the ratio : 72:16:32
What is ans

Answers

Answer:

9 : 2 : 4

Step-by-step explanation:

Given

72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )

= 9 : 2 : 4

Which equation matches the hanger?
w - 1.4 = 2.7
1.4w = 2.7
w + 1.4 = 2.7
w/1.4 = 2.7

Answers

Answer:

W + 1.4 = 2.7

Step-by-step explanation:

W + 1.4 = 2.7

W and 1.4 are on one hand and 2.7 is on the other hand

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5-15=0

5p-10=0

5(p-2)=0

(if you want to solve it p=2)

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

y=15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

To find y:

8y=120 –––Divide both sides by 8 so you can get y alone

y=15

a hot air balloon is floating in the atmosphere if a burst of hot air were blown up into that balloon which would most likely happen
1. The balloon would rise
2. The balloon would descend
3. The balloon would travel side ways
3. The balloon would remain in the same place pls help

Answers

It’s the first answer

simplify. draw a box. multiply the binomials together and simplify.

Answers

Answer:

D(last answer choice)

Step-by-step explanation:

(5x-6)(3x+4)

Foil it out to get:

[tex]15x^2+20x-18x-24[/tex]

This simplifies to:

[tex]15x^2+2x-24[/tex]

Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?

Answers

Answer:

Number of books with Mrs. Hall = 32

Step-by-step explanation:

Suppose that Mrs. Hill has [tex]x[/tex] books.

Also, Mr. Lopez has 24 more books than Mrs. Hill.

So,

Number of books with Mr. Lopez = [tex]x+24[/tex]

Ratio of their books = [tex]7:4[/tex]

Therefore,

[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]

Number of books with Mrs. Hall = 32

DUE TODAY!! Which number could be considered an outlier in the data set {3,5,6,8,24}?

6
3
5
8
24

Answers

Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

The radius of a circle is 1 foot. What is the circle's area?
r=1 ft
Use 3.14 for .
square feet

Answers

Answer:

3.14ft²

Step-by-step explanation:

Area of a circle= πr²

= 3.14 x 1²

= 3.14 x 1

= 3.14 ft²

CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .

Answers

Answer:

I gotchuThese are all fractions btw.

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

Answer:

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

those are you answers... you can mark the other guy brainliest i have enough

Step-by-step explanation:

Find the average of the following numbers:
2,4,6 and 8.

Pls help asap

Answers

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

1÷2(2x+6)=4x-1

solve pls no links!!!​

Answers

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

Write the equation
equation in standard form
X^2-1/X+1=2​

Answers

Answer:

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1

What is (4x5) + 6/3 + (9+5)?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

4*5= 20

6/3 = 2

9+5= 14

20+2+14= 36

Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and she is 2 years older than Pam. Pam is 5 years younger than Veronica and Veronica is 4 years younger then Lily. Which list has the sisters in order from youngest to oldest?

Answers

Answer:

Pam 6

Tia 8

Veronica 11

Lily 15

Step-by-step explanation:

Tia's age = 8

Pam's age = Tia's age - 2

8 - 2 = 6

Veronica = pam's age + 5

6 + 5 = 11

Lily's age = veronica's age + 4

11 + 4 = 15

Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2

Answers

Answer:

1

Step-by-step explanation:

We plug in 4 for m and 1/2 for n.

[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1

Hope this helped!

la solución de una ecuación cuadrática representa los interceptos en x, cierto o falso?

Answers

Answer:

La respuesta es falso

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

the perimeter of a square piece of confetti is 28 mm. how long is each side of the piece of confetti?​

Answers

Answer:

14 mm

Step-by-step explanation:

perimeter of a square is a + b

and all sides are equal to each other since its a square

therefore it is 14 mm each

Penny paid off a loan with a simple interest rate of 11.2% in 6 months. What was the APR?
11.2%
9.6%
22.4%
19.2%
5.6%

Answers

Answer: 19.2%

Step-by-step explanation:

APR= (2(n)(r))/(n+1)

APR= 2(6)(0.112)/(6+1)

APR= 19.2

n= number of monthly payments (6)

r= the rate (11.2% or 0.112)

The solution is Option C.

The annual percentage rate of Penny is 22.4 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the annual percentage rate be represented as A

Now , the value of A is

The simple interest rate R of Penny = 11.2 %

The time period of Penny n = 6 months

The annual percentage rate is calculated by = ( 12 x R ) / n

Substituting the values in the equation , we get

The annual percentage rate A = ( 12 x 11.2 ) / 6

The annual percentage rate A = 2 x 11.2

The annual percentage rate A = 22.4 %

Therefore , the value of A is 22.4 %

Hence , the annual percentage rate is 22.4 %

To learn more about annual percentage rate click :

https://brainly.com/question/22648762

#SPJ2

Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times (17+9) 4 times ( 17-9)

Answers

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

Due to construction delays on the trip from Little Rock to Chicago, a van driver averaged 48 miles each hour. About how long did that trip take?

Answers

from chicago to little rock is 9 hours and 30 mins so the answer should be 432 miles without the 30 mins but with it; it’s 456 miles

Determine the y intercept (8grade

Answers

Answer:

its 4

Step-by-step explanation:

Y intercept is 4.
The whole slope equation is y=3/4x+4

please help
easy points

Answers

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

I need a answer very very quick

Answers

Awnser:

3x10-2x3

3(10-2)

3 (100-2

3x98

=294


Side note- above the 10s put a little 2 above it so put a 2 above the ten in 3(10-2) and above the 10 in 3x10-2x3

Which table shows a function with the same rate of change as the equation y = –30x + 200?

a)
x y
12 100
13 70
14 40
b)
x y
20 200
21 400
22 600
c)
x y
39 239
40 240
41 241
d)
x y
17 20
18 23
19 26

Answers

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation:

I had this function question that I just don't understand. Can someone explain it please

Answers

Answer:

oopsie delete this

Step-by-step explanation:

find the area of the shape (round to nearest tenth if necessary )

Answers

Answer:

still

Step-by-step explanation:

still thinking sorry

A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?

Answers

Answer:

18

Step-by-step explanation:

Which functions are correctly graphed?

Select all the correct answers

Answers

the second one, and the third one

According to the function Graph 2 , 3 and 4 are correctly graphed.

What are Functions ?

It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To determine which are the functions whose domain value match with that of the graph drawn ,

The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.

Graph 1 is not correctly graphed

Graph 2 , 3 and 4 are correctly graphed according to the function.

To know more about the function

https://brainly.com/question/12431044

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Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.

Answers

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

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