PLEASE HELP ASAP !! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. QUESTION: Find the average rate of change of each function over the interval [0, 3]. Match each representation with its respective average rate of change 3, -3 ,-2,6,-1,5

PLEASE HELP ASAP !! Drag The Tiles To The Correct Boxes To Complete The Pairs. Not All Tiles Will Be
PLEASE HELP ASAP !! Drag The Tiles To The Correct Boxes To Complete The Pairs. Not All Tiles Will Be
PLEASE HELP ASAP !! Drag The Tiles To The Correct Boxes To Complete The Pairs. Not All Tiles Will Be

Answers

Answer 1

Answer:

Average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.

Step-by-step explanation:

The formula for average rate of change of f(x) over [a,b] is

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The given function is

[tex]r(x)=x^2+2x-5[/tex]

[tex]r(0)=(0)^2+2(0)-5=-5[/tex]

[tex]r(3)=(3)^2+2(3)-5=10[/tex]

Now,

[tex]m_1=\dfrac{r(3)-r(0)}{3-0}[/tex]

[tex]m_1=\dfrac{10-(-5)}{3}=5[/tex]

From the graph it is clear that q(0)=-4 and q(3)=5.

[tex]m_2=\dfrac{q(3)-q(0)}{3-0}[/tex]

[tex]m_2=\dfrac{5-(-4)}{3}=3[/tex]

It is given that  function p has as x-intercept at (3,0) and a y-intercept at (0,6). It menas p(0)=6 and p(3)=0.

[tex]m_3=\dfrac{p(3)-p(0)}{3-0}[/tex]

[tex]m_3=\dfrac{0-6}{3}=-2[/tex]

From the given table it is clear that s(0)=-13 and s(3)=5.

[tex]m_4=\dfrac{s(3)-s(0)}{3-0}[/tex]

[tex]m_4=\dfrac{5-(-13)}{3}=6[/tex]

Therefore, the average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.


Related Questions

Find the measure of b.
Please help

Answers

Answer:

125 degrees

Step-by-step explanation:

Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals   inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.

Hope this is helpful! :)

The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8

Answers

Answer:

-2

Step-by-step explanation:

your equation is

f(x) = -2x+8

-2x

-2 is the slope

Answer:

The slope is -2

Step-by-step explanation:

Rewriting f(s) as y

y = -2x+8

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

The slope is -2

if you apply the changes below to the quadratic parent function f(x)=x^2.which of these in the equation of the new function? shift 1 unit right ,vertically stretch by a factor of 3,reflects over x-axis

Answers

Answer:

Transformed   [tex]\,\,f(x)= -3\,(x-1)^2[/tex]

Step-by-step explanation:

The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:

[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]

The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":

[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]

the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":

[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]

Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108

Answers

Answer:

m(m-3)=108

Step-by-step explanation:

Complete question below:

Two positive integers are 3 units apart on a number line. Their product is 108.

Which equation can be used to solve for m, the greater integer?

m(m – 3) = 108

m(m + 3) = 108

(m + 3)(m – 3) = 108

(m – 12)(m – 9) = 108

Solution

On the number line,

Let

m= larger integer

The integers are 3 numbers apart on the number line, so

m-3=smaller integer

The product (×) of the larger and smaller integers=108

(m)*(m-3)=108

m(m-3)=108

Therefore, the equation that can be used to solve for m, the larger integer is:

 m(m – 3) = 108 

Answer:

its a

Step-by-step explanation:

XD

Urgent help I need it right now!!!!

Answers

Answer:

[tex]\boxed{\sf 30 \ bean \ cans}[/tex]

Step-by-step explanation:

The ratio of bean cans to corn cans is 6 : 7

Given that Corn cans = 35

Let the bean can be x

So,

The proportion for it will be:

6 : 7 = x : 35

Product of Means = Product of Extremes

7 * x = 6 * 35

7x = 210

Dividing both sides by 7

x = 30

So, 30 bean cans have to be put on the table to hold the needed ratio

Which is a diagonal through the interior of the cube? Side A H Side B E Side C H Side F G

Answers

Answer:

Option (A)

Step-by-step explanation:

Every cube has 8 vertices and 6 faces.

Cube shown in the picture attached,

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

Therefore, from the given options diagonal of the interior of the cube will be Side AH.

Option A will be the answer.

Answer:

the awnser is A

Step-by-step explanation:

i took a quiz

If today is Sunday, then Theodore is either playing soccer or watching television. If Theodore is playing soccer (regardless of the day of the week), it means that he hasn't finished his homework or taken out the trash. If the trash is taken out, and Theodore is watching television, then he has finished his homework. Today is Sunday and the trash is taken out. Then it has to be true that:

A) His homework is finished
B) His homework isn't finished
C) This situation is impossible
D) There isn't one right answer

Answers

Answer:

His homework isn't finished.

Step-by-step explanation:

As in this sentence: "If the trash is taken out, and Theodore is watching television, then he has finished his homework.". It says that if trash is taken out, then Theodore has not finished his homework He has just taken out the trash.

Answer:b his homework isnt finished

Step-by-step explanation:

Solve for x. 60 10 20 120

Answers

Answer:

Hey there!

We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)

7x-10=0.5(120)

7x-10=60

7x=70

x=10

Hope this helps :)

Answer:

x = 10

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

7x-10 = 1/2 ( 120)

7x -10 = 60

Add 10 to each side

7x -10+10 = 60+10

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

Please help me, im in desperate need of help for these questions

Answers

Answer:

For the first one, answer is dilation of 2

Step-by-step explanation:

you see the coordinates for triangle A'B'C' are all doubled the coordinates of triangle ABC

Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?

Answers

Answer: The length is 7/10 inches.

Step-by-step explanation:

So if is says that the string is  1/10 times 7 inches long, then it represents the length of the string.

So  L = [tex]\frac{1}{10}*7[/tex]  

     L = 7/10

Answer:

l=7/10

Step-by-step explanation:

In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....

Answers

Answer:

BC = 8

Step-by-step explanation:

16 ( sin 30 degrees ) = BC

16 (0.5)

16/2

BC = 8

Give the other person brainliest they deserve it.

Compute the value of each expression 7−17

Answers

Answer: -10

Step-by-step explanation:

7 - 17 = -10.  An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)

Hope it helps <3

Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?

Answers

Answer:

Chocolate bars: $0.95 each

Sour keys: $0.05 each

Total cost for 8 chocolate bars and 24 sour keys: $8.80

Step-by-step explanation:

sour keys=x

chocolate bars=y

15x+2y=2.65

10x+3y=3.35

multiply the second equation by 1.5

15x+4.5y=5.025

2.5y=2.375

y=0.95

Chocolate bars are $0.95 each.

Now substitute the y value in one of the equations

15x+2(0.95)=2.65

15x+1.9=2.65

15x=0.75

x=0.05

Sour keys are $0.05 each.

For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.

Final answer: $8.80

2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.​

Answers

Answer:

Rs. 924000.

Step-by-step explanation:

Cost of  house = 765000

Additional money spent on it = 115000

Total cost incurred by Ravi = 765000 + 115000 = 880000

Gain  = 5% of total cost

gain in Rs = 5/100 * 880000 = Rs. 44000

Total selling price of house = total cost incurred + profit = 880000+ 44000

Total selling price of house = Rs. 924000

Thus, Ravi got  Rs. 924000.

The roots of 100x2 – 20x + 1 = 0 is:​

Answers

Answer:

             x = 0.1    

Step-by-step explanation:

[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]

i will give brainliest.The product of 5 and the sum of 12 and a certain number is 10. What is the number​

Answers

Answer: x=-10

Step-by-step explanation:

5*(12+x)=10

Distribute

60+5x=10

Subtract(60)

5x=-50

x=-10

Hope it helps <3

Answer:

Heeyyy hope it helps

Step-by-step explanation:

Ok, so the product is the answer to a multiplication problem.

The product of 5 and the sum of a number(X) and 3 is

5(X + 3) = 12

5X + 15 = 12

5X = 12 - 15

5X = -3

X = -3/5

10. Read the following word problem, then choose which linear equation models the problem.

The length of a rectangle is six feet more than twice the width. The rectangle’s perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. 2(2w +6) • (2w) = 84
D. (2w + 6) • (w) = 84

Answers

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

A school wants to plant some trees in 53 rows. The Gardener bought 15019 saplings from nursery. How Many least number of saplings should he bring more so that each number of trees_? ​

Answers

Answer:

33

Step-by-step explanation:

15019 / 53 = 283 R20

53 − 20 = 33

He needs 33 more trees so that every row can have the same number of trees.

You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.

Answers

Answer:

[tex]\large \boxed{\sf \ \ 70\% \ \ }[/tex]

Step-by-step explanation:

Hello,

We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :

   [tex]1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})[/tex]

For the second week

   [tex]1000\cdot (1+\dfrac{r}{5200})^2[/tex]

After 52 weeks

   [tex]1000\cdot (1+\dfrac{r}{5200})^{52}[/tex]

and we want to be equal to 2000 so we need to solve:

[tex]1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...[/tex]

Rounded to the nearest percent, the solution is 70%.

If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

4%

Step-by-step explanation:

Please answer this question now in two minutes

Answers

Answer:

20

Step-by-step explanation:

use the cos or sin function to solve

Step-by-step explanation:

using 30°

we use cos

cos 30 =10√3/UU = 10√3/Cos30 =20cm

using 60

we use Sin

Sin 60=10√3/UU = 10√3/Sin60 = 20

Help! Pls pls pls! Fast!

Answers

it is transformed [tex]|x|[/tex] function. moved down by and right by 1 unit,

so $y=|x-1|-1$

A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?

Answers

Answer: 120

Step-by-step explanation:

Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.

The total number of marbles in the bag : 2+2+1+5+6=16

Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is

[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex]  [[tex]\because\ C(n,1)=n[/tex]]

Hence, the number of sets of four marbles include one of each color other than lavender = 120

Follow the steps to solve for the variable in this two step equation 5x-10=0

Answers

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-10=0

Add 10 to each side

5x-10+10=0+10

5x = 10

Divide by 5

5x/5 = 10/5

x = 2

A company offering online speed reading courses claims that students who take their courses show a 5 times (500%) increase in the number of words they can read in a minute without losing comprehension. A random sample of 100 students yielded an average increase of 415% with a standard deviation of 220%. Calculate a 95% confidence interval for the average increase in number of words students can read in a minute without losing comprehension. Choose the closest answer.

Answers

Answer:

C.I = (371.88  , 458.12)

Step-by-step explanation:

Given that:

sample size n = 100

sample mean [tex]\overline x =[/tex] 415

standard deviation = 220

The objective is to calculate the  95% confidence interval for the average increase in number of words students who can read in a minute without losing comprehension.

At 95% confidence interval; level of significance ∝ = 1 - 0.95

level of significance ∝ = 0.05

[tex]z_{\alpha/2} = 0.05/2[/tex]

[tex]z_{\alpha/2} = 0.025[/tex]

The critical value at [tex]z_{\alpha/2} = 0.025[/tex] is 1.96

C.I = [tex]\overline x \pm M.O,E[/tex]

C.I = [tex]\overline x \pm z_{\alpha/2} \dfrac{\sigma }{\sqrt{n}}[/tex]

C.I = [tex]415\pm 1.96 \dfrac{220 }{\sqrt{100}}[/tex]

C.I = [tex]415\pm 1.96 *\dfrac{220 }{10}[/tex]

C.I = [tex]415\pm 1.96 *22[/tex]

C.I = [tex]415\pm 43.12[/tex]

C.I = (371.88  , 458.12)

discriminant of xsqaure - 1/2x +1/2=0

Answers

Answer:

[tex]\boxed{D = 15/8}[/tex]

Step-by-step explanation:

=> [tex]x^2-\frac{1}{2} x +\frac{1}{2} = 0[/tex]

Comparing it with the standard form of quadratic equation [tex]ax^2+bx+c = 0,[/tex] we get

a = 1, b = -1/2 and c = 1/2

Discriminant = [tex]b^2-4ac[/tex]

[tex]D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}[/tex]

Please help don't understand at all​

Answers

(i) Note that it is given to you that 3a + 2b = 9

You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:

(9a + 6b)/(3a + 2b) = 3

Next, multiply 3 to the 9 on the other side of the equation:

3 x 9 = 27

27 is the value of 9a + 6b.

(ii) Note that it is given to you that 8x + 6y = 60

You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:

(8x + 6y)/(4x + 3y) = 2

Next, divide 2 from the 60 on the other side of the equation:

60/2 = 30

30 is the value of 4x + 3y.

~

Answer:

(i) 27, (ii) 30

Step-by-step explanation:

i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27

ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30

write the sum of twice a number and eleven as an algebraic expression

Answers

Answer:

2x-11

Step-by-step explanation:

2 x X = 2x + 11

sinxcosy=1/2(sin(x+y)+cos(x-y))
True or False?

Thanks for the help!

Answers

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

plz help will give brainliest

Answers

Answer:

77

Step-by-step explanation:

slope equation

Determine whether the underlined number is a statistic or a parameter. Upper A sample of professors is selected and it is found that Modifying 35 % with underline own a television. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a population. Parameter because the value is a numerical measurement describing a characteristic of a sample. Statistic because the value is a numerical measurement describing a characteristic of a sample

Answers

Answer:

Option : Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation:

A sample of professors is selected and it is found that Modifying 35 % with underline own a television.

The 35% is the value that summarizes the characteristic of the sample taken from the population. Thus, the value 35% is a statistic.

While a parameter gives a value describing the characteristic of the population itself

Given: Sample proportion is (P)=[tex]35%[/tex]%.

Statistics are the constants that are computed from sample observations alone. This is a simple definition of statistics.

Answer: The correct statement is  Statistic because the value is a numerical measurement describing a characteristic of a population.

Explanation: That is, statistic because the value is a numerical measurement describing the characteristic of a sample.

The remaining statements are incorrect.

As parameters are the constants of the population. They describe only the population not the sample.

Learn more: https://brainly.com/question/10211620

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