Select ALL the correct answers. Which of the given functions have an average rate of change of -12 on the interval [0, 2]?

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the functions are not given.

The general explanation on calculating average rate of change is as follows.

The average rate of change (m) of function f(x) over interval (a,b) is:

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

Take for instance:

[tex]f(x) = x^2 + 4x + 4[/tex]

[tex](a,b) = (0,2)[/tex]

The average rate of change over [tex](0,2)[/tex] is:

[tex]m = \frac{f(2) - f(0)}{2-0}[/tex]

[tex]m = \frac{f(2) - f(0)}{2}[/tex]

Calculate f(2) and f(0)

[tex]f(2) = 2^2 + 4*2 + 4 =16[/tex]

[tex]f(0) = 0^2 + 4*0 + 4 =4[/tex]

So, we have:

[tex]m = \frac{f(2) - f(0)}{2}[/tex]

[tex]m = \frac{16 - 4}{2}[/tex]

[tex]m = \frac{12}{2}[/tex]

[tex]m = 8[/tex]

Answer 2

Answer:

Maybe you could show what is trying to be solved.

Step-by-step explanation:


Related Questions

Pam's eye-level height is 324 ft above sea level, and Adam's eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi StartRoot 6 EndRoot mi 19 mi 19 StartRoot 6 EndRoot mi

Answers

Answer:

B. StartRoot 6 EndRoot mi

√6 mi

Step-by-step explanation:

A. 1 mi

B. StartRoot 6 EndRoot mi

C.19 mi

D. 19 StartRoot 6 EndRoot mi

d = √(3h/2)

Where,

d = distance they can see in miles h = their eye-level height in feet

Pam:

h = 324 ft

d = √(3h/2)

d = √{(3 * 324)/2}

= √972/2

= √486

= √(81 * 6)

= √81 * √6

= 9√6 mi

Adam:

h = 400 ft

d = √(3h/2)

d = √{(3 * 400)/2}

= √1200/2

= √600

= √(100 * 6)

= √100 * √6

= 10√6 mi

How much farther can Adam see to the horizon?

Adam - Pam

= 10√6 - 9√6

= √6 mi

the rectangle with 2 row nd each raw has 6 square each sudw of square is 1 cm determine the perimeter of rectangle and area of square​

Answers

Answer:

Perimeter of rectangle is 16 cm and the area of square is 1 cm^2

Step-by-step explanation:

Here, we want to get the perimeter of rectangle and area of square

From the question, the rectangle has 2 rows of 6 squares each; So we have the length as 2 cm and the width as 6 * 1 cm = 6 cm

So the rectangle is 6 cm by 2 cm

The perimeter of a rectangle is 2(l + b)

so, we have 2(6 + 2) = 2(8) = 16 cm

The area of the square is simply the side length raised to the power of 2

we have this as 1^2 = 1 cm^2

Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?

Answers

20 because 1/5 of 25 is 5 so five from twenty-five would be 20!

What does a variable represent? Pls help

Answers

Answer:

A number we don't know

Step-by-step explanation:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. So the answer should be A

Bob has 57 guests he wants to make sure everyone gets a slice of cake. One is 20cm at £13.50 and one 25cm at £18.75 he wants to pay as little as possible. How much will he have to pay

Answers

Answer:

£56.25

Step-by-step explanation:

Number of guest = 57

The 20cm cake :

Can serve 12 people and cost £13.50

The 25cm cake :

Can serve 20 people and cost £18.75

Since the cake has to be the same size, the only one particular size would have to be purchased ;

For the 20cm cake ; 57/12 = 4.75 = five 20cm cakes ;

£13.50 * 5 = £67.50

For 25cm cake ; 57 / 20 = 2.85 = three 25cm cakes

£18.75 * 3 = £56.25

£56.25 is lower ; hence, amount he'll have to pay is £56.25

Choose all of the angles that are coterminal with -150°.

150°
-510°
210°
-210°
570°

Answers

I'm pretty sure u chose all the ones with - in it

Bob eats 1/4 of a pie and later eats 2/5 of the pie. What fractions remains?

Answers

Answer:

9/20

Step-by-step explanation:

After Bob eats 1/4 of the pie, he has 3/4 left. 2/5 of 3/4 is the same as (2/5)*(3/4) because "of" is used as multiplication in math. (2/5)*(3/4)=6/20, so he ate 6/20 of the pie. To get the answer, you need to solve 1-(1/4+6/20)=

1-(5/20+6/20)=20/20-11/20=9/20. I hope this helps and sorry if I made a mistake. :)

how many factors does 2000 have

Answers

Answer:

20

Step-by-step explanation:

Hey could you please help me? thank you

Answers

Answer:

8

Step-by-step explanation:

c(w)= 200 * 1/5^2.

1/5 * 1/5 = 1/25

1/25 * 200 = 8

Hope this helps!

:)

Witch statement about a quadrilateral is true 1. A rhombus has exactly one pair of parallel sides. 2. A trapezoid has two pairs of parallel sides. 3. All rectangle are squares. 4. Some rhombus have four right angles

Answers

Answer:

Statement 4 is true.

Step-by-step explanation:

- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.

- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.

- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.

- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.


What is the area of this figure?

Enter your answer in the box

Answers

Answer:

and this is why I do not like math also all u got to do is count all the squares and the corners do not count as wholes u got to put two together and then it makes a whole

Step-by-step explanation:

its just that easy  :D hope it was helpful

James can write 6 paragraphs in 24 minutes.
Using the same unit rate, how many paragraphs can James write in 16 minutes?

Answers

Lets find out how many a minute. 3 in 12 minutes, 1 in 4 minutes, so 1/4th of a paragraph per minute.

Now 1/4 times 16 = 4. So he can write 4!

Brainliest or Heart if helpful!

Please help due at 9:36 please help

Answers

Answer:

I think it's 45, just guess bc ur in hurry

Step-by-step explanation:

At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in dollars per bandmember still needs to raised for the trip

Answers

Answer: 68.40$ per member left.

Explanation:

8250 = 75x + 3120

5130 = 75x

68.4 = x

A cone has a radius of 12 inches and a slant height of 20 inches. What is the approximate surface area of the cone?

Answers

Answer:

2009.6 in²

Step-by-step explanation:

The surface area, SA of a cone is obtained using the formular :

SA = πr² + πrl

Where ; r = Radius = 20 inches ; l = slant height = 12 inches

SA = π*20² + π*20*12

SA = 400π + 240π

Take π = 3.14

SA = (400*3.14) + (240*3.14)

SA = 1256 + 753.6

SA = 2009.6 in²

What is the factored form of x2 + 2xy − 8y2?

Answers

Answer:

(x+2y)(x−4y)

hope this helps!

differentiate y=(5x-1)^1/2​

Answers

Answer:

Df(1/5,+∞) or x>1/5 step by step

Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 5x + 6 = 0
A. Add -6 to both sides.
B. Take the square root of both sides.
C. Use the zero product rule to set up smaller equations.
D. Factor the left side.

Answers

Answer:

D)Factor the left side

Step-by-step explanation:

(x-2)(x-3)

Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check to pay her to pay her credit card bill of $125.43. how much must Tawana deposit in her checking account to maintain atleast the minimum balance?
hi

Answers

Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.

Hence, the answer is $99.89.

The answer would be $99.89

what is the solution of 56= k-42

Answers

Answer:

k=98

Step-by-step explanation:

Let's solve your equation step-by-step.

56=k−42

Step 1: Flip the equation.

k−42=56

Step 2: Add 42 to both sides.

k−42+42=56+42

k=98

I Hope This Helps If Not Then Im Srry....

Solve for the variable: p - 4.2 = 2. Show your work

Answers

Answer:

6.2

Step-by-step explanation:

P - 4.2 =2

we have to no separate the variables and constants

so , when we move 4.2 to the other side ( other side of 2) it will be something like this

p = 2+4.2

as you can wee when we moved 4.2 to the other side the operation changed from ,minuus to plus sign .

now just do what it says

formula :

=p-4.2=2

=p = 2+4.2

= 2+ 4.2= 6.2

so,

p=6.2

write the formula , I think no need to write explanation

Sam is 34 years younger than Ashton. 4 years ago, Ashton's age was 3 times Sam's age. How old is Sam now?

Answers

Answer:

21years old

Step-by-step explanation:

Let Sam's age be x

Let Ashton present age be y

If Sam is 34 years younger than Ashton then;

x = y - 34 .... 1

If by 4 years ago, Ashton's age was 3 times Sam's age then;

Sam = x - 4

Ashton = y - 4

y-4 = 3(x-4)

y-4 = 3x - 12 ....2

Substitute 1 into 2;

y-4 = 3(y-34)-12

y-4 = 3y-102-12

y-4 = 3y - 114

y-3y = -114 + 4

-2y = -110

y = 110/2

y = 55

Since x = y- 34

x = 55-34

x = 21

Hence Sam will be 21years old now

Helppppp pleaseeeeee!!!!!’

Answers

Answer:

[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]

Step-by-step explanation:

Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].

(a) After 1 year, [tex]n=1[/tex]:

[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]

(b) After 2 years, [tex]n=2[/tex]:

[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]

Here are front elevation,side elevation and plan of a 3d shape.

Answers

step by step explanation:

Select the correct answer.
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh

Answers

Answer:

Greg weighs 180 pounds

Justin weighs 165 pounds

A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.

Answers

Answer:

28800 square feet

Step-by-step explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

set up an equation and solve the following
Three times a number plus 5 gives 20. what is the number.
please give me answer​

Answers

Here's an answer! :)

Can you please help me ASAP

Answers

Answer:

x=35 this is your answer

Let p(x)=3x-7. If p(x)=0,find x. A. -7
B.-4
C. 4
D. 7/3
E. The correct answer cannot be determined

Answers

Answer:

D

Step-by-step explanation:

0=3x-7

0=3x+7

7=3x/3

7/3=x

El acero de alta resistencia es el principal material de los submarinos actuales, con un límite de profundidad de 250 a 400 m para que no haya ningún riesgo de explosión. Si se sabe que la distancia entre los 2 barcos es de 188 m y que las distancias de los barcos hasta el submarino son de 152 y 192 m respectivamente. Determina si el submarino corre algún riesgo de explosión, justificando la respuesta al mencionar la profundidad a la que se encuentra el submarino.

Answers

4j9gndbz4nhhmf76 love this life
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