1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?

please give a simple summary of both answers after the explanations!!

Answers

Answer 1

9514 1404 393

Answer:

there are no points higher than a maximum; no points lower than a minimumaverage rate of change is the slope of a straight line connecting the points of interest.

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]


Related Questions

The perimeter of a rectangle is equal to 280 meters.
The ratio of its length to its width is 5:2. Find the area
of the rectangle.

Answers

Answer: the area of the rectangle is 4000 meter square.

Step-by-step explanation:

Writer the equal ratios 6:8,24:32,3/4:1

Answers

Answer:

12:16

48:64

3:4

12:16

48:64

3:4

Are your answers

Answers
A. 2 grams
B. 4 grams
C. 6 grams
D. 8 grams

Answers

Answer:

8 grams

Step-by-step explanation:

4+4+4+8=20

4+8+8=20

Answer:

D. 8 grams

Step-by-step explanation:

HELP PLEASE

Question 4 (5 points)
(04.05)

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)

Answers

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

Let's see what 125% of 20 equals:

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

It is written that Evan thought he spent 125 % more than the last week which means:

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?

Answers

Answer:

x=4

Step-by-step explanation: 64/16=4

PLEASE HELP!!! ILL GIVE BRAINLIEST!

Answers

Answer: Last Option (Red In Colour)

Reason: Since Point Slope Form is y -y1 = m(x-x1), We just plug in the numbers. Four will go into the x1 spot, and Zero will go into the y1 spot, and 1/2 in the m spot since it's the slope. So, after plugging everything in, the equation is y - 0 = 1/2 ( x- 4)

I hope this helps, and Happy Holidays! :)

Rudgolf goes to a store looking to buy comic books and CDs. Comic books cost 15 each and cds cost 10

Answers

Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

Please help with math question

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The Euler Gamma is a named irrational constant whose value is approximately ...

  0.57721566490153286060651209008240243104215933593992...

Which of the following statements about absolute value is not true?
A.absolute value is the sign of the number
B.absolute value is the distance from zero
C.numbers have a sign and a size
D.absolute value is the size of the number

Answers

Step-by-step explanation:

A. Absolute value is the sign of the number.

The interval or intervals for witch (x-1)(x-2)>0 is/are

Answers

Here you go! Hope this helps

Find the probability of drawing two diamonds in a row from a standard deck of 52 cards. After the first card is drawn it is set aside and not returned to the deck.

Answers

Answer: 1/17

Step-by-step explanation:

First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.

If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.

We then multiply both together. This will be:

= 13/52 × 12/51

= 1/4 × 4/17

= 1/17

need help with this ​

Answers

Answer:

ΔABD is an obtuse triangle

Step-by-step explanation:

The type of a triangle according to its angle measures

The acute triangle ⇒ it has 3 acute anglesThe right triangle ⇒ it has 1 right angle and 2 acute anglesThe obtuse triangle ⇒ it has 1 obtuse angle and 2 acute angles0° < acute angle < 90°right angle = 90°90° < obtuse angle < 180°

In triangle ABD

∵ m∠ABD = 100°

∵ m∠BAD = 50°

→ The sum of the interior angles of a triangle is 180°

m∠ABD + m∠BAD + m∠BDA = 180°

∴ 100 + 50 + m∠BDA = 180

∴ 150 + m∠BDA = 180

→ Subtract 150 from both sides

m∠BDA = 30°

∵ m∠ABD = 100°

∠ABD is an obtuse angle

∵ m∠BAD = 50° and m∠BDA = 30°

∠BAD and ∠BDA are acute angles

∵ ΔABD has 1 obtuse angle and 2 acute angles

ΔABD is an obtuse triangle

multiplicaiton problem where both factors are fractions and the product is less than the factors ANSWER NOW PLEASE

Answers

Answer:

There is no question attached.

Step-by-step explanation:

Answer:

1/5 * 1/2 = 1/10

Step-by-step explanation:

Choose any two factor fractions less than 1. The result (product) will be necessarily smaller than each of the factors. Above answer is an example

1/5 * 1/2 = 1/10, where it is clear that

1/10 < 1/5 and

1/10 < 1/2

Mrs. Arnold took a survey of the types of pants her students were wearing. She collected the data below. What percent of her students were wearing shorts? Jeans: 14 Shorts: 9 Capris: 2

Answers

Answer:

36%

Step-by-step explanation:

Jeans: 14

Shorts: 9

Capris: 2

Total number of students = Number of Jeans + Number of Shorts + Number of Capris

Total number of students = 14 + 9 + 2 = 25

% of students wearing shorts = Number of shorts / Total number of students * 100

% of students wearing shorts = 9 / 25    * 100 = 0.36  * 100 = 36%

The width is 5.2 cm and the area is 54.6 cm?
The rectangle is not drawn to the exact measurements.

Answers

Answer:

The length is 22.1

Step-by-step explanation:

5.2 + 5.2 + 22.1+ 22.1 = 54.6

Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10. What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes? Use paper to show what you know about the least common multiple to support your answer. Enter your answers in the boxes. Torrance must purchase packages of snack bags and packages of juice boxes to have the same number of each

Answers

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]

Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

A small university enrolls in-state and out-of-state students. The number of students enrolled to their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in freshman class ?

please answer this as soon as you can and i will give you a brainliest.
thanks :)

Answers

Answer:

In-State = 189

Out-of State = 54

Step-by-step explanation:

In-State = 7

Out-of State = 2

In-State

7/9 = x/243

= 189

Out-of State

2/9 = x/243

= 54

HELP PLEASE I AM STRUGGLING!

Answers

Answer:

D\

Step-by-step explanation:

Answer: The answer should be D

Step-by-step explanation:

25 points:
PLEASE HELP ASAP!!

Answers

S= (0,0) T=(30,30)
(0+30) / 2 = 15
(0+30) / 2 = 15
(15,15)

I WILL GIVE BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE

Answers

all real numbers so the answer is D

Answer:

D. All real numbers

Write the simplest polynomial function for each set of zeros

Zeros=4, 7 ,1

PLEASE HELP

Answers

Answer:

x^3-12x^2+39x-28

Step-by-step explanation:

(x-4)(x-7)(x-1)

(x^2-4x-7x+28)(x-1)

(x^2-11x+28)(x-1)

x^3-11x^2+28x-x^2+11x-28

x^3-11x^2-x^2+28x+11x-28

x^3-12x^2+39x-28

Solve for x
If you don’t know how to do it don’t answer.

Answers

Answer:

127

Step-by-step explanation:

Exterior angle measure is equal to the sum of non-adjacent interior angles

21..................................................

12x + 2 = 9x + 11 + 2712x - 9x = 38 - 23x = 36x = 12

22..................................................

13x + 1 = 4x + 6 + 5813x - 4x = 64 - 19x = 63x = 7

Compare the process of solving
|x - 11 + 1 < 15 to that of solving
|x - 11 + 1 > 15.

Answers

Answer:

I have solved them but I don't know what to o next

Step-by-step explanation:

1) lx- 11+ 1< 15

+11 on both sides

lx+ 1< 26

-1 on both sides

lx< 25

2) lx-11+1>15

+11 on both sides

lx+1>26

-1 on both sides

lx> 25

Answer:

Both absolute values would need to be isolated first.

You would need to write a compound inequality for each.

Both compound inequalities would compare

x – 1 to  –15 and 15.

The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.

Step-by-step explanation:

Phoebe knit a hat for a friend. She started with 197 meters of yarn. When she finished, she had 8,200 centimeters of yarn left over. How much yarn did Phoebe use to knit the hat? Write your answer in centimeters.

Answers

Answer:

Phone used 11,500 centimeters of yarn

Step-by-step explanation:

So first we know that 1 meter is equivalent to of 100 centimeters

Now lets convert everything into centimeters

197*100=19700

And thats it

Now we know she started with 19700 centimeters of yarn and has 8200 centimeters left over.

We can make an equation

We can make “x” stand for amount of yarn used.

19700-x=8200

Minus x becuase thats how much she used and equal 8200 becuase Thats what was left over

Now use inver operations

-x=-11,500

Now divide - on both sides

x=11,500

She used 11,500 centimeters of yarn

Answer:   11,500 centimeters of yarn

Step-by-step explanation:


What is the value of x?
A 42
В.50
C. 68
D. 70

Answers

The answer is C, because parallel means

if two lines are perpendicular , what do we know about their slopes ?

Answers

Answer:

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.

Step-by-step explanation:

Given the equation y=-3x+2.5: When x is 1, what value of y makes the equation true? When x is -1.5, what value of y makes the equation true? When y is 8.5, what value of x makes the equation true?

Answers

Step-by-step explanation:

when,X=1

y=-3 *1+2.5

y=-3+2.5

y=0.5

when,X=1.5

y=-3*1.5+2.5

y=-4.5+2.5

y=-2

when,y=8.5

8.5=-3*X+2.5

3*X=2.5-8.5

3*X=-6

X=-6/2

X=-3

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]y=-3x+2.5[/tex]

So,

[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]

When,

[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]

when,

[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ6

The sum of two numbers is 20. Their difference is 4.
a. Write a system of equations that describe this situation
b. Solve by elimination to find the two numbers

Answers

Answer:

The two numbers are 12 and 8

Step-by-step explanation:

Well this is pretty simple

We can just list out everything that Adds up to 20

1+19

2+18

3+17

4+16

5+15

6+14

7+13

8+12

9+11

10+10

Now just subtract each one until you get the one that equals to 4

Which is 12 and 8 in this case

Seven less than the sum of p and t is as much as 6.

Answers

P + t -7 =6

10+3-7=6

10+3=13

13-7=6

P=10 t=3

The values of the numbers p and t will be 10 and 3 respectively.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The value of the numbers will be calculated as:-

P + t -7 =6

10+3-7=6

10+3=13

13-7=6

P=10 t=3

Therefore, the values of the numbers p and t will be 10 and 3 respectively.

To know more about an expression follow

brainly.com/question/2164351

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I need the answer in it’s simplest form

Answers

3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8

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