Mathematics High School

Find the average value of the function y = 2x4 over the interval [- 2,2].

Answers

Answer 1

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

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

                    f(b) - f(a)  

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

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)

Related Questions

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

choose the answer that best completes the sentence.

If you know a root of a function is -2+V3i , then ___.

Answers

Answer:

2 + V3i is a known root

Step-by-step explanation:

We want the positive and negative values from the square root

Answer:

D.   -2-[tex]\sqrt{3i[/tex]

Step-by-step explanation:

I am taking the assignment and got it correct. Good luck

which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2

Answers

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5

Answers

Answer= x=100

4/6 = x/150

So you will want to use the cross strategy

6x = 150(4)
6x = 600
6x ÷ 6 = 600 ÷6
x =100



help me plz due in 20 minutes ​

Answers

9514 1404 393

Answer:

  B)  y = 0.25x +5

Step-by-step explanation:

The x-value differ by 1, so the slope is the difference in y-values.

Comparing for x=2 and x=3, we see that the y-value increases by 0.25 from 0 to 0.25. This is the slope of the data in the table.

The equation with the same slope will have 0.25 as the x-coefficient. The equation of choice B is the one you're looking for.

  y = 0.25x +5

_____

You don't care about the equation of the table, but it is ...

  y = 0.25x -0.5

The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest tenth. mm

Answers

The question seems incomplete, as the length of the hour hand isn't given ;

If the tip of the hour hand is taken as 30mm

Answer:

534.1 mm

Step-by-step explanation:

In 2 hours ; cycle performed :

2/ 12

Circumference of a circle = 2 * pi *r

Circumference = 2 * pi * 30 = 60pi

Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi

The minute hand travels 2 comply cycle in 2 hours

150% taller than short hand :

1.5 * 30 = 45 mm

Distance traveled : 2 (2 * pi * 45) = 180pi

(180pi - 10pi) = 170pi

170π = 534.07075

= 534.1 mm

Write the following FRACTIONS in order of size (SMALLEST to LARGEST)
70% , 2/3 , 0.62 , 13/20 , 0.6

Answers

Answer:

is this helpful?? i guess it is

Answer: 6/10, 62/100, 13/20, 2/3, 7/10

Explanation:

First make all of them decimals:

.7, .667, .62, .65, .6

Then order least to greatest:

.6, .62, .65, .667, .7

Finally put them into fraction form

6/10, 62/100, 13/20, 2/3, 7/10

3a=1
What is a equal to?

Answers

Answer:

1/3

Step-by-step explanation:

3a = 1

/3    /3

a = 1/3

Answer:a

a= one third or 1/3

3 times 1/3 = 1

Step-by-step explanation:


A cube-shaped box has a volume of 1000 cubic inches. How tall is the box?

Answers

Answer:

10 inches

Step-by-step explanation:

the box is 1000 cubic inches in volume, and 10×10×10 is 1000

The side lengths are each 10 inches tall

The box is 10 inches tall, wide, and long

Given right triangle JKL, what is the value of cos(L)?

Answers

Answer:

5/13 pal, the first one,,,,

Determine the volume of the composite figure displayed.
A
108 cm3
B
60 cm3
с
36 cm3
D
20 cm3

Answers

Answer:

B

Step-by-step explanation:

6 - 4 (6n + 7 ) > 122 giving brainlest to whoever shows work

Answers

Answer:

n<-6

Step-by-step explanation:

6-24n-28>122

-22-24n>122/:(-2)(devide the whole equation by (-2), when u devide by a negative number > changes to <)

11+12n>-61

12n<-72

n<-6

A coin is tossed and a card is drawn from a standard deck of 52 cards. What is the probability of tossing a heads and drawing a diamond?

A. 7/52
B. 1/8
C. 13/104
D. 3/26

Answers

Answer:

a

Step-by-step explanation:

a

3 x q x 7 x q= ___. Can someone help?

Answers

21q^2 bc (7x21) x (q x q)

[tex]21 {q}^{2} [/tex]

Step-by-step explanation:

[tex]3 \times 7 \times q \times q = \\ 21 \times q \times q = \\ 21q {}^{2} [/tex]

ALEGBRA 1 ! help. me. please. this. is. so. hard. i dont. understand it.

Answers

Answer:

Part a) to find the maximum height of the snowball, you have to differentiate the function. Therefore you get ----> dh/dt= -32x-8 . Now equate this to zero and solve for x. x= (-1)/4 now sub this value in to find h(x) [note: i'm talking about the original function] . I got h max = h((-1)/4) = 9 which is the max height.

Step-by-step explanation:

I'm not too sure about the other questions. Sorry

8. Jackie is selling cookies as a
fundraiser. Each box of cookies she
sells costs $4. Write an expression
that can be used to show how
much she will earn.
от е

Answers

Can you tell how much she selled? Then I can answer it

help
What is an equation of the line that passes through the points (-4, 4) and (8.1)?

Answers

Answer:

y = -1/4x +3

Step-by-step explanation:

Hope this helps!

c) Describe the relationship between E and K. What is the measure of K?

Answers

Answer:

E and K are congruent because e and k are alternate exterior angles.

Step-by-step explanation:

I need help finding X fast!!!!

Answers


Solve for x by simplifying both sides of the equation, then isolating the variable.
x = −2.94678232, 0.75127644

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?

Answers

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

-x=5 can you help me please

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Answers

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111


[tex] {3x}^{2} - 3x - 5 = 0[/tex]
​

Answers

The Answer is 69 I hope it is correct
use this formula=
also identify which one is a,b and c
ax^2 + bx + c

Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answers

What’s the question?

Step-by-step explanation:

?

Solve for x
Literally forgot how to do this..

Answers

Answer:

x = 114 ur welcome

Step-by-step explanation:

Answer:

x = 114

Step-by-step explanation:

Given

[tex]\frac{x+18}{4}[/tex] = 33 ( multiply both sides by 4 to clear the fraction )

x + 18 = 132 ( subtract 18 from both sides )

x = 114

The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answers

Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Can someone help me please

Answers

Answer:

the answer is yes.

Step-by-step explanation:

Answer:

It is a which is (-2,2).............

HELP giving brainlest for first person that answers and extra points

Answers

thanks for the extra points i most definitely needed it

A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find the missing side.

Answers

Answer:

4x - 16

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

the perimeter of a triangle = sum of the side lengths

let the unknown length be represented with y

13x  - 21 = 4x + 3 + 5x - 8 + y

13x- 21 = 9x - 5 + y

Make y the subject of the formula

13x - 21 - 9x + 5 = y

4x - 16 = y

the side length = 4x - 16

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