Consider the following graph of a quadratic function.

Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?

Part B: Which intervals have the greatest rate of change?

Part C: Which intervals have the least rate of change?

Part D: Name two intervals that have equal rates of change.​

Consider The Following Graph Of A Quadratic Function. Part A: How Can You Quickly Determine The Intervals

Answers

Answer 1

A graph can increase or decrease at an interval or several intervals

The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and de

Part A: How to determine the longest interval

The longest interval will have a great change in the y-values, and a small change in the x-values.

An instance of such interval is interval ab

Part B: Intervals with the greatest rate

Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.

Hence, intervals ab and de have the greatest rate of change

Part C: Intervals with the least rate

Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,

Hence, intervals ab and de have the least rate of change

Part D: Intervals with the equal rate

As said in (b) and (c),

Intervals ab and de have equal ratesIntervals bc and cd have equal rates

Read more about intervals and rates at:

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Related Questions

Determinen las medidas algebraicas necesarias para calcular el área del hexágono

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Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

Someone plz help me :(

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Answer:

the answer is c :)

Step-by-step explanation:

HELP PLEASE!!!! I REALLY NEED HELP

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Answer:

CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.

Step-by-step explanation:

domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?

Answers

Answer:

Domain = 3,-1,-9,3

Range = 3,5,0,-2

Not a function

Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?

Answers

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538

Liam and Andrew are working in the lab with a scalpel. Since they are working with a sharp object they should make sure to -
A. know the location of the eye wash station.
B. avoid wearing baggy clothes that can catch on fire.
C. always cut towards themselves.
D. wear proper safety gear like goggles and gloves.

Answers

The answer is

D.wear the proper safety gear like goggles and gloves.

4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)

Answers

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

What are unit rates, and how are they used?

Answers

unit rate is a special type of ratio (also called a single-unit rate). It will compare 1 unit of some quantity to a different number of units of a different quantity. Unit rates are often used in real life situations, like when you need to convert between measurement systems.

hope it helps

Answer:

A unit rate means a rate for one of something

they are and can be used as speed limits or signs for someone to do something. like go and stop

Step-by-step explanation:

determine the intercepts of the line 4x-3y=17

Answers

Answer:

x-intercept = 17/4 and y = -17/3

Step-by-step explanation:

To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.

To

4x - 3y = 17

4(0) - 3y = 17

0 - 3y = 17

  y = 17 /-3

 y = -17/3 = -5 2/3       y-intercept = -5 2/3.

The ordered pair on the graph is (0, -17/3)

   4x - 3(0) = 17

     4x - 0 = 17

      4x = 17

       x = 17/4       x-intercept = 17/4

    The ordered pair on the graph is (17/4, 0)

If c-d=7 and c=3-8i what is d

Answers

Answer:

d=-4.......,...........

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2x + 6 is an equation.

We have,

Two equations:

c - d = 7 _______(1)

c = 3 - 8i _______(2)

We are using the substitution method to solve this problem.

We make the value of a variable from an equation and substitute the value of that variable in the other equation.

From (1) we get,

c - d = 7

Add d on both sides.

c - d + d = 7 + d

c = 7 + d ______(3)

Put (3) on (2) we get,

7 + d = 3 - 8i

Subtract 7 on both sides.

7 + d - 7 = 3 - 8i - 7

d = -4 - 8i

Thus,

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

Learn more about equations here:

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Mother arranged 5 rows with 3 cups and saucers in each row she then put on the table 2 more sets of cups and saucers how many cups and saucers were on the table

Answers

Answer:

I think it might be 30 if the each cup and saucer is counted as 1.

Step-by-step explanation:

5 x 3 = 15 x 2 = 30

v=t+s+u, for the letter u please and thank you

Answers

Answer:

u = v - s - t

Step-by-step explanation:

V=t+s+u, for the letter u please and thank you

v  = t + s + u

u = v - s - t

HELP WITH ANGLES AGain LOL

Answers

Answer: 180
Explanation: just ask me for it

WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER + 100 POINTS WHEN YOU DO ANSWER!!

Hello, below I have a screenshot of the question I need to be answered in particular. I would also like to have an explanation as to how you got the answers you did please. I will move on to try other questions whilst I wait, to see if I may be able to do something different without getting stuck again. Thank you for your time and I hope you have/had a good day(or night)!

Answers

y=-2x(squared)+3x-7

the 2x is squared

hope that helped

Write the following algebraic expression for this sentence:
"The product of eight and a number squared decreased by 5."

Answers

Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

Learn more about expression here:

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do all number lines show only whole number

Answers

Answer:

no

Step-by-step explanation:

no because some numbers could be negative and most number lines also contain 0. whole numbers are positive, non decimal/fractional, real numbers

Please help with this, but the number you are answering before you answer. If someone has already put the answer, you can still do it. thank you

Answers

Answer:

1.

7/8 of a ounce is 0.875 oz

0.875 divided by 8.5 is 9.7

9.7 is the serving in the whole bag

9.7 times the amount of calories

it would be 1746 cals

Step-by-step explanation:

PLEASE HELP ASAP MY HANDS E GETTING TIRED AND I NEED TO SLEEP e>e

Answers

Answer:

[tex] \sf k = 1 \\\\ \sf y = x [/tex]

Step-by-step explanation:

A graph between the amount of time that backpacker hikes to the distance travelled is given .

We need to find the constant of proportionality and the equation of the relationship .

According to the Question ,

[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]

Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,

[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]

Again the constant of proportionality is the slope of the line.

Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,

[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]

a) 7x^2-7=0
b)x^2-x=0
c)5x-15=0
d)x^2-4x+4=9.(x-2)
e)3(x+3)-x^2-3x=0

Answers

Answer:

[tex]a)x = 1 \\ x = - 1 \\ b)x = 1 \\ x = 0 \\ c)x = 3 \\ d)x = 11 \\ x = 2 \\ e)x = 3 \\ x = - 3[/tex]

5x(6x2 -3x4+7x3)-20 x3 -3_x4

Answers

Answer:

[tex]30x^3-15x^5+35x^4-43[/tex]

Step-by-step explanation:

[tex]30x^3-15x^5+35x^4-43[/tex]

Use the distributive rule and distribute 5x into the brackets. Then use the order of operation rule to do what is after the brackets.

58ml : 1120ml : 104ml need answer asap!

Answers

Answer:

i dont know the answer sorry

Step-by-step explanation:

What’s 2+2 as a decimal

Answers

Answer:

4.0

Step-by-step explanation:

the correct answer is 4.0

A recipe that would make 18 cupcakes
calls for 4 teaspoons of vanilla. How
many cupcakes is that per teaspoon?

Answers

Answer:

Hello there,

Let's solve,

It takes 4tsp for 18 cupcakes

thus for 1tsp it'll be,

= 18/4

= 4 and a half cupcake

That is one teaspoon of vanilla is needed for 4 and a half cupcakes.

All the best!

In 2005 Richard earned £22,000 per year.
In 2015 Richard earned £31,900 per year.
Express this as a percentage increase.

Answers

It’s 45%

Explanation = 31900-22000/22000 • 100 = 45%

Lakeside amusement park charges an entry fee plus $1.50 per ticket used to go on the rides. The entry fee is the same amount for everyone. Louisa spent a total of $30.75 on the entry fee plus 15 ride tickets. Click “show your work” below and show calculations to determine how much Louisa paid for the entry fee.

Answers

Answer:

The entry fee is $8.25

Step-by-step explanation:

Total together: $30.75

She bought 15 tickets * $1.50 cost per 1 ticket

= $22.50

$30.75 (total) - $22.50 (price of tickets)= $8.25

Can anyone help me solve this? Thank you. The question is provided on the attachment

Answers

Answer:

V I R T U E

Step-by-step explanation:

I) 3d = 3 × 3 = 9

E) 4d + a = 4(3) + 1 = 12 + 1 = 13

R) d² + 5 = (3)² + 5 = 9 + 5 = 14

V) bc + 3d = 1/2 × (-2)  + 3(3) = -1 + 9 = 8

T) a - 3c = 1 - (3 × -2) = 1 - -6 = 7

U) √3c²d = √3 × (-2)² × 3 = √3 × 4 × 3 = √36 = 6

Correct order:

V I R T U E

What is the answer for -6 + x/4 = -5?

Answers

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

Your answer would be: x = 4

Please help me ASAP

Answers

Answer:

x ≤ -17

Step-by-step explanation:

Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000 (1 + 0.0375) superscript 24Which of the following statements about Porsha's expression is true?a.Porsha's expression is correct.b.Porsha's expression should have 1 + 0.009375 in the parentheses.c.Porsha's expression should have an exponent of 6, not 24.d.Porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.

Answers

Using the compound interest formula, it is found that the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

Compound interest:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

Investment of $5,000, thus [tex]P = 5000[/tex].Interest rate of 3.75%, thus [tex]r = 0.0375[/tex].6 years, thus [tex]t = 6[/tex]Compounded quarterly, thus [tex]n = 4[/tex].

Then, the amount is:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]

[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]

Thus, her error is in the parentheses, and the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

A similar problem is given at https://brainly.com/question/25195489


What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
1. х
2. y
3. 6
4. 3
5. -1
6. 2
7. 3
8. 6
9. +
10. 1
11. 2.
12. 3
13. 4
14. 5


I need the 6 that go in the boxes

Answers

Answer:

slope is -2/3

Step-by-step explanation:

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

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