F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?

Answers

Answer 1

Answer: -3

Step-by-step explanation:

The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.

a=-2

b=-1

f(b)=f(-1)=(-1)²+10=11

f(a)=f(-2)=(-2)²+10=14

With our values listed, all he have to do is to plug them in.

[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]


Related Questions

Infected individuals can spread the
virus 14 days before they begin to feel
ill. Change the parameters to represent
this information as the number of days
contagious.
Given the new parameters, determine
how many school days it would take for
half of the school of 400 people to
become infected?

Answers

Answer:IDK

Step-by-step explanation:

Ummm I don’t think so

marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities

Answers

Answer: 50 miles

Step-by-step explanation:

On maps one inch is a mile

The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above

Answers

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Good question and the answer is A

This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.

Answers

Answer:

V = 10 in^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We have the diameter

r = d/2 = 2.7/2 =1.35

V = 4/3 ( 3.14) (1.35)^3

V =10.30077

Rounding to the nearest whole number

V = 10 in^3

Answer:

10 in^3

Step-by-step explanation:

Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which
group of students could she ask so that her sample is random?​

Answers

Answer:

add more information

Step-by-step explanation:

find the area of the shaded part of the figure below

Answers

Answer:

70

Step-by-step explanation:

Answer:

70 cm^2

Step-by-step explanation:

Multiply (20x8)/2 to find the area of the triangle.  Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.

A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =

Find the following angle measures.
mAngleJKM = °
mAngleMKL = °

Answers

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?




Please show the work to answer compound interest work

Answers

Answer: $2009.66

Step-by-step explanation:

A = P(1 + r/n)^nt

The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.

Here the data given are,

Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.

Put these values in the above formula as,

[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]

Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

Learn more about the compound interest here;

https://brainly.com/question/24274034

Which excerpt best displays the function of narrative structure in Monster? The best time to cry is at night, when the lights are out and someone is screaming for help. The guy who was hit they made sit at the table while they waited for another guard to bring them rubber gloves. Sometimes the camera moves in so close that you can’t tell what is going on and you guys listen to the sounds and guess. I think to get used to this I will have to give up what I think is real and take up something else.

Answers

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Explanation:

The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.

The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Step-by-step explanation:

What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer

Answers

Step-by-step explanation:

100-50=50

50/5=10

10/10=1 and

I hope you liked it please mark brainliest
100-50=50
50/5= 10
10/10= 1
final answer is 1

Help Immediately! +10 points!
What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm

Answers

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

Factor::
x^2+8x-20
thank youuu

Answers

Answer:

[tex](x+10)(x-2)[/tex]

Step-by-step explanation:

[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]

You can confirm this by working backwards, expanding:

[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]

Hope this helps!

Mariam is putting a shed in her garden and needs to build the
base
The shed has a rectangular base so the base will need to be a
rectangular prism.
The base will need to be 30cm deep, 1.9m long and 1.6m wide.
Calculate the volume of the foundations in m'
Concrete is a mix of different things. Aggregate, cement and wa
The ratio of these is 7:2:1
Calculate the volume of each element required



Answers

Answer:

The volume of the base is 91.2 m^2.

The volume for aggregate, cement, and wa(?) is 63.84 m^2, 18.24 m^2, and 9.12 m^2 respectively.

Step-by-step explanation:

Please look at number 2. I’m not quite sure how I can figure that out?

Answers

Answer:

Circle graph

Step-by-step explanation:

common sense

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.

Question 15 options:

25,351 units2

149,473 units2

3,758 units2

2,362 units2

Answers

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            [tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]

By using integration formula

[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 [tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]

On integration , we get

=   [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]

[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]

= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]

After simplification and cancellation we get

 =  [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]

on calculation , we get

= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]

On L.C.M  15

= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]

= 25 351.2 units²

Conclusion:-

The area of the region between the graph of the given function and the x-axis = 25,351 units²

NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)

Answers

Answer:

y

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

y

Which equation matches these solutions? x = 5, -7
Group of answer choices

(x + 5)(x + 7)=0

(x + 5)(x - 7)=0

(x - 5)(x + 7)=0

(x - 5)(x - 7)=0

Answers

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Answer

The answer is the first one

PLEASE HELP! ITS DUE TODAAY!

Answers

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

I need help please thanks

Answers

Answer:

1/6

Step-by-step explanation:

The answer is D. Hope this helped :)

value of a in simplest form?

Answers

Answer:

Step-by-step explanation:

When base is same, add the powers

[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]

Compare the powers,

a = 7/6

please help answer thanks

Answers

68% will be ur answer because tanta right

Pls Help!!!
Just an example of how to do it pls!

Answers

10m + n^2/4

m = 5

n = 4

We can now substitute numbers in for the variables.

10(5) + (4)^2/4

50 + 4^2/4

50 + (4 * 4)/4

50 + 16/4

50 + 4

= 54

Answer:

Its 54 guys explanation in COMMENTS

Heres rule for 2nd term

x^n/x^(n-1) = x

which of the following is the additive identity of 5+2i

Answers

Answer:

Can you take a picture of the question so i could help!

Step-by-step explanation:

Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill​

Answers

Answer:

9.21

Step-by-step explanation:

Answer:

Nathan has 9.21 change if he pays a 20 bill.

Step-by-step explanation:

Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!

Answers

Step-by-step explanation:

We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).

Answer:

(-2 + -5x)(2 + -3x)

Simplifying

15x2 + -4x + -4

Reorder the terms:

-4 + -4x + 15x2

Factor a trinomial.

(-2 + -5x)(2 + -3x)

Final result:

(-2 + -5x)(2 + -3x)

Can i get Brainlest??? Plzzz :D

What is the value of x?
6
8
010
O 12

Answers

Answer:

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

please mark me brainliest :)

the answer is eight.

A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest $30 an hour. In total, how much does the business pay its employees each week?

Answers

98-11= 87 employees at $30hr

8hr * 5d = 40hr a week

40hr * $30 * 87 =104,400

40hr * $45 * 11 = 19,800

104,400 + 19,800 = 124,200

The business needs $124,200 to pay it’s employees each week.

The business requires $124,200 to pay its employees each week.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour. 

As per the given question, the required solution would be as:

No. of employees at $30hr: 98 -11 = 87

⇒ 8 hours × 5 days = 40 hour a week

⇒ 40 hour × $30 × 87 =104,400

⇒ 40 hour × $45 × 11 = 19,800

⇒ 104,400 + 19,800 = 124,200

Thus, the business requires $124,200 to pay its employees each week.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ2

There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP

Answers

Answer: Yes

if the selection is randomly picked and it's within the statistical population.

Step-by-step explanation:

Sampling is the random selection of objects within the statistical data or population.

This random selected individual will represent the whole population.

If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.

-4|x|=-12 solve the equation​

Answers

Answer:

-4|x| = -12

|x| = 3

x = 3, x = -3

Answer:

x=3,   x=-3

Step-by-step explanation:

-4|x|=-12

Divide each side by -4

-4/-4|x|=-12/-4

|x|=3

There are two solutions to an absolute value one positive and one negative

x=3,   x=-3

1. How many solutions does the following equation have?
2x2 – 3x + 5 = 2x2.*- 3x + 5
no solution
- 2x -2% -2X
O
o -5% +5=0
2. Use the quadratic formula to solve the equation. If necessary, round to the nearest
hundredth.
x2 + 3 = -4x+3=- 4x
3- 4x
3. Solve the equation using the Zero-Product Property,
4p(5p+ 10) = 0
20p²+40p=0
-20p^2-20p^2
I just want to know if I got it right?

Answers

Answer:

1. The equation has no real solutions

2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]

3. p = 0 and p = -2

Step-by-step explanation:

1. Eq: x² - 3x + 5

discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0

Therefore, the equation has no real solutions

2. Eq: x² + 3 = -4x

0 = x² + 4x + 3

[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

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

[tex]x = \frac{-4 \pm 2}{2} [/tex]

[tex]x_1 = \frac{-4 + 2}{2} [/tex]

[tex]x_1 = -1 [/tex]

[tex]x_2 = \frac{-4 - 2}{2} [/tex]

[tex]x_2 = -3 [/tex]

3. Eq: 4p(5p+ 10) = 0

Zero-Product Property states that:

4p = 0 or 5p + 10 = 0

The first solution is p = 0. The second is:

5p + 10 = 0

5p = -10

p= -10/5 = -2

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