find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

What is the coordinate where x=-1 ?

What is the coordinate where x=2?

What is the rate of change between those two points?

Find The Average Rate Of Change Over The Interval [-1,2] (from X = -1 To X = 2) For The Graph Below What

Answers

Answer 1

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.


Related Questions

The area of a square carpet is 5476 sq.cm. Find the length of its side.

Answers

Answer:

Area of square = (side)^2 = 5476 sq.cm

side = √5476 sq.cm

side = √(74 cm)^2

side = 74 cm

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Since it's a square, all the sides are the same. Just square root 5476.

mr rivas bought a can of paint. he used 3/8 for a bookshelf and 1/4 on a wagon. he has 1/8 of paint left. how much paint did he use to paint a birdhouse.

Answers

6/8 was used
to add fractions they all need the same denominator
3/8
1/4 x1/2= 2/8
1/8

40 POINTS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Y = 10

C = 40

D = 76

Answer: Okay found the answer hope I am not too late

Step-by-step explanation:

Y is 10

C is 40

D is 76

Hope this helps!

Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.

a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.

Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.

Answers

Answer:

A) dN / dt = aN( N* - N ) /N*

B) 12 years

Step-by-step explanation:

attached below is a detailed description of the solution

A) Write down the differential equation modelling N(t)

The differential equation of the modelling = dN / dt = aN( N* - N ) /N*

B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers

firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution

20−5(4/2)^2=? /= fraction

Answers

Answer:

0

Step-by-step explanation:

=20−5(2^2)

=20−(5)(4)

=20−20

=0

45x - 18 factored i really need help

Answers

45x - 18 factored I really need help
Can be rewritten as
9(5x--2)

Who can help me pronto i will give a brainliest

Answers

Answer:I think it would be C

Step-by-step explanation:

Answer:

1) B

-2x+y=4

+2x+3y=20.

4y=24

2) 4y=24. divide both sides by 4

y= 6

3) (Pick any equation you like, change y to 6)

-2x+6=4 subtract 6 to both sides

-2x=-2 divide by -2

x=1

or

2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides

2x=2. divide by 2

x=1

4) (x,y) change the x and y to their values. (1,6)

Step-by-step explanation:

explained on top

Could someone answer and explain. Will mark the brainliest

Answers

Answer: I think you’re right??

Step-by-step explanation:

the jet stream is a wind current that flows across the US from west to east. Flying with the jet stream, an airplane flew 2700 miles in 4.5 hours. Against the same wind, the return trip took 6 hours. Find the speed of the plane in stil air and the speed of the jet stream.

Answers

Answer:

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Step-by-step explanation:

From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:

Flight with the jet stream

[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]

[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)

Flight against the jet stream

[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]

[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)

The solution of this system of linear equations is:

[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *

Answers

The answer is $1.05 but this is only right if the posters cost the same amount as the markers.

Given the following formula, solve for v.
S=1/2a2v+c

Answers

Answer:

Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.

s = 1/2a^2*v+c

First you need to subtract c from both sides to get

s-c = 1/2a^2*v

then you can just divide both sides by 1/2a^2 to get v

(2(s-c))/a^2=v

when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.

Step-by-step explanation:

Can someone help me?

Answers

Answer:

with what

Step-by-step explanation:

dont see nothinfg

Answer:BD equals CE? Are lines parallel

Step-by-step explanation:

triangle sum theorem
i will give brainliest

Answers

Answer:

The answer is b=128

Step-by-step explanation:

25+27=52

180-52=128

Answer:

∠A + ∠B + ∠C = 180°

⇒ 25° + 27° + ∠B= 180°

⇒ 52° + ∠B= 180°

Subtract both sides by 172°

⇒ 52° – 52° + ∠B = 180° – 52°

Therefore, ∠B = 128°

PLS HELP!!!! WILL GIVE BRAINLIEST!!!!

Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for
(0,4)
(-3,0)

Answers

(3,0) (-4,0)

not for sure but still mark brainliest cause i need it ✋ im doing bad rn

Can anyone help me pls

Answers

75%

Explain: count all the items in the list then count the caps and yo-yos together.
That’ll be 6/8 which is 75%
75% because there is 6/8 you will get the yo yo or the other one. so you put 6/8 = ?/100. you multiply 100 with 6 then divide 600 with 8

Can someone help pls ASAP running out of time

Answers

Answer:  The correct answer is A

Step-by-step explanation:

If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4

1/4 x 5/1 = 5/4

✩brainliest appreciated ✩

hich expression is equivalent to -4(7 - 2m) + 11m?

Answers

Answer:

[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]

Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.

Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets

Answers

Answer:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Step-by-step explanation:

Represent the event that you win with A and the even that your friend win with B.

So, we have:

[tex]P(A) = \frac{1}{100}[/tex]

[tex]P(B) = \frac{1}{100}[/tex]

Required

Calculate P(A or B)

Both events are mutually exclusive.

So:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]

[tex]P(A\ or\ B) = \frac{2}{100}[/tex]

Simplify:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

527856 \ 8

How do I solve this with long division to find my quotient?

Answers

Answer:

65,982

Step-by-step explanation:

Look at the attached image for the step by step solution

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.

Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50

What is the unit rate in this relationship?

Answers

Step-by-step explanation:

fresco didn't Divo ratify jdndodnswjskd ksosbwjw

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10

Answers

Answer:

The answer would be D = 4 or option 2.

Step-by-step explanation:

9/12 = 3/?

First, you want to simplify 9/12

9/12 = 3/4

This shows you that D = 4

The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.

why an expression to represent a total area as a some of the areas of each room

Answers

the blanks should be 7 and 4

Answer:

11 and 4

Step-by-step explanation:

Solve the problem using long division

Answers

Answer and Step-by-step explanation:

[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]

       

        1m     -5

         ____________

[tex]m+2 |m^{2} - 3m - 7[/tex]

    - m^2 + 2m

___________________

               -5m   - 7

            - -5m   - 10

___________________

                           3

(The negatives cancel out).

[tex]m - 5 + \frac{3}{m+2}[/tex]   <- This is the answer.

#teamtrees #WAP (Water And Plant)

if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?

Answers

There are 50 oranges in the box.

+
2
8
2
Least multiple that is the sam
Add using renamed fractions

Answers

Answer:

no

Step-by-step explanation:

which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2

Answers

Answer:

i think the correct is D so 3m-2

Coupd someone help me with this? (picture)​

Answers

Answer:

2x3 = 6

6x14 = ...

Step-by-step explanation:

All the solutions with a + in them are not applicable to this multiplication

a sequence of payment made at equal time period is a/an'????​

Answers

Answer:

Annuity.

Step-by-step explanation:

A sequence of payment made at equal time period is called an annuity.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

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