The average value of a function f on [a, b]
always lies between f(a) and f(b). Justify your answer.

Answers

Answer 1

Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

Answer 2

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

To learn more on Functions click:

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Related Questions

um. i just need help with this! so if anyone knows help me plz <3

Answers

Answer:

Last one

Step-by-step explanation:

You can simplify the first one or compare both of them if they have the same ratios! Hope this helps <3

Answer:

The last one

Step-by-step explanation:

Simplify and your answer is there! Like Magic! :P

Hope that helps!

CAN SOMEONE PLZ HELP ME

The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist fills n cavities, what will be the cost of the visit to the dentist?

Write your answer as an expression.

Answers

Answer:

The expression for the total cost of the visit to dentist is T = 50 + 100n .

Step-by-step explanation:

As given

The price of a visit to the dentist is $50.

If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist n cavities .

Let us assume that the total cost of the visit to dentist be T.

Than the expression becomes

T = 50 + 100n

Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .

1/2÷2=? PERSON WHO GETS IT CORRECT GETS BRAINLIEST!

Answers

Answer:

1/4

Step-by-step explanation:

1/2x1/2

1/4

Because instead of multiplying it like that you have to flip it first.

HELPPPP PLZZZzzzzzzzz

Answers

Answer: A
Explanation:

IF YOU ANSWER THIS RIGHT NOW ILL GIVE YOU 64 POINTS

Answers

Answer:

13 = x

Step-by-step explanation:

[tex]\frac{6}{8}[/tex] = [tex]\frac{(x + 2)}{(x + 7)}[/tex]

6x + 42 = 8x + 16

42 = 2x + 16

[tex]\frac{26}{2}[/tex] = [tex]\frac{2x}{2}[/tex]

13 = x

I need help....Does anybody know the answer?

Answers

Answer:

4/5

Step-by-step explanation:

8/15 = 8/15

3/5 = 9/15

2/3 = 10/15

11/15 = 11/15

We see that the pattern is that the terms increase by 1/15 as they move up.

Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.

Let me know if this helps!

hehhhhhhhhhhhhhhhhh help? lol please

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Hey! so the answer is 1/3

Step-by-step explanation:

multiply 3/16 by 1/3 and 5/9 then add the sum of 1/3 and 5/9 together then add 1/6 to it simplify and you would get 1/3

Hoped I helped! Have a great day! I'm Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

Really Need Help ! ASAP

Answers

Answer:

hope the above solution will help you

What fraction is shown on the ruler below?

Pls help

Answers

Answer:

2 3/8

The denominator is 8 because there are 8 total lines

how you get 2 is because you passed the 2 lines and if you count the lines it goes up to three


Which of the following ordered pairs
make this equation true?
y = 3x - 2
A. (7,3)
B. (2,4)
C. (13,5)
D. (-1,5)

Answers

Answer:

B

Step-by-step explanation:

A price is increased by 5% and is now £756.
Work out the original price.

Answers

Answer:

£720

Step-by-step explanation:

100+5 = 105

105% = 756

divide both sides by 105 to find 1%

1% = 7.2

multiply both sides by 100 to find 100%

100% = 720

756/105 X 100 = 720

1. Ames earns an annual salary of $265,000. If income tax is 6%, what is the amount of income tax in dollars and cents that the doctor must pay?
O A. $13,250
O B. $15,900
O C. $18,400
O D. $21,860

Answers

Answer:

B. $15,900

Step-by-step explanation:

$265,000 x .06 = $15,900

Which expression is equivalent to −0.8(10.8x−20+3.2x)
?

Answers

Answer:

It's −11.2x+16

Step-by-step explanation:

Combine Like Terms:

5x – 2y + 12 z + 6y

SHOW WORK
will give brainliest

Answers

Answer:

5x+4y+12z

Step-by-step explanation:

i hope this help

graph the line that passes through the two points then find the slope of the line (-3,-3)(1,1)​

Answers

Answer:

i think its -3

Step-by-step explanation:

Help=10pts
5,6,7,and 8 plz

Answers

Answer:

number 5:4/12

#6: 25/45

#7: 26/44

#8: 52/30

Step-by-step explanation:

Answer:

5) 1/3=x/12

12=3x

3x=12 (divide both sides)

12 divided by 3 = 4

therefore, x = 4

6) 5/9=25/y (cross multiply the numbers)

after cross multiplying you should get: 5y=225

divide both sides to get 45

therefore, y = 45

7) 26/z = 13/22 (cross multiply numbers)

after cross multiplying, you should get: 572=13z (swap the numbers)

after swapping the number, you should get: 13z=572 (divide both sides)

after dividing you should get 44

therefore, z = 44

8) b/30 = 2.6/1.5 (simplify expression)

after simplifying you should get: b/30=26/15 (cross multiply after)

after cross multiplying you should get: 15b = 780 (divide both sides)

after dividing both sides, you should get: 52

therefore, b = 52

Hope this helps:)!

12 + (-4) + 5j + -2j + 5
I NEED HELP WITH THIS AND IT NEEDS TO BE IN STEP BY STEP CAN SOME ONE HELP ME SOLVE THIS!!!!!!!!!!!!!

Answers

Answer:

12+(-4)+5j+(-2j)+5

=12-4+5j-2j+5

=8+3j+5

=13+3j

HELP ME DO THIS PLEASE IM STRESSING OUT

Answers

Answer:

36

Step-by-step explanation:

ik it bc im smart

The answer is 36!!!!

what terms best describe the relationship between

Answers

Angles lines and degrees and length to describe them

what does the perpendicular bisector of a line mean?

Answers

This bisector created a 90 degree angle

Answer:

A line segment perpendicular to and passing through the midpoint.

Step-by-step explanation:

You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you constructusing these measurements?​

Answers

Answer: The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B. Thus, you can construct only one triangle using these measurements.

Step-by-step explanation:

Hope it helps mark me brainliest.

Taxi A charges $8 to get in the cab and $0.75 for each mile. At how many miles will the price for taxi company A be the same as the price for taxi company B

Answers

Answer:

6 miles

Step-by-step explanation:

Info we already know:

$8 to get in the cab.

$0.75 for EACH mile

The word EACH means to multiply

0.75 x 8 = 6 miles

Hope this helps!

*
(9) Complete the calculation so that each shows the correct sum.
0.5 1 3 7
+
1
Your answer

Answers

Answer:1.5137

Step-by-step explanation:

how can i solve this problem ​

Answers

Step-by-step explanation:

first find x

2x+15=6x-1

15+1=6x-2x

16=4x

x=4

then find the value of the angle

6(4)-1=23

lmk if it is right

Answer:

Step-by-step explanation:

In rectangle, diagonals bisect each other and diagonals are equal.

So, AE = DE

∠ADE = ∠DAE            {Angles opposite to equal sides are equal}

6x - 1 = 2x + 15

6x      = 2x + 15 + 1

   6x = 2x + 16

6x -2x = 16

4x      = 16

       x = 16/4

       x = 4

∠ADE = 6x - 1

         = 6*4 - 1

         = 24 - 1

        = 23

Help me please I need this answer ASAP

Answers

Answer:

ok

Step-by-step explanation:

In an exponential function, what does the 'a' represent?​

Answers

I hope this helps

‘A’ SLOPE. RATE OF CHANGE.




Picture is above ^^^^^^^^^

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer would be 1/r^42.

Step-by-step explanation:

[tex]x^{-|y|} =\frac{1}{x^{|y|} } ,(x^{y} )^{z}=x^{y*z}[/tex]

Mr. Winters has a $50 daily budget for car rental. He has rented a car for a flat $10 a day, plus $0.12 per mile. What mileage will keep him within his budget?

Answers

Answer:

333 miles

Step-by-step explanation:

50 = 10 + 0.12x

40 = 0.12x

333.33 miles = x

equals to spending $49.96

y + 3x = -1
y = 1/2x+ 20

Answers

im not sure if it’s right but I think it’s -6,17
So you can substitute equation 2 in equation 1.

U believe your equation 2 should read y= x/2 + 20 (the x is next to the 1 and not to the 2, right)

So after substituting, we have:

(x/2)+20+3x = -1

Multiply the whole equation by 2:

x + 40 + 6x = -2
7x = -2-40
7x = -42
x = -6

Replace x=-6 in equation 1:

y + 3(-6) = -1
y - 18 = -1
y =17

twice a number plus 6 is -72 look at the pic please ​

Answers

Answer:

2+6(11)=-72

Step-by-step explanation:

so red and I did it in my head and on calculator

Red it is hope it is right bye
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