Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.

x = −4

x = −2

x = 2

x = 4

Using The Graph Below, Calculate The Average Rate Of Change For F(x) From X = 0 To X = 2. X = 4 X = 2

Answers

Answer 1
The answer would be x=4.
Answer 2
We take values of f(0) and f(2), sum them up to find distance between them, than sum x values that are corespondent for f(0) and f(2) and we get average rate of change.

f(0) = -2
f(2) = 6

Avg = (2+6)/(0+2) = 8/2 = 4

Answer is 4.

Note that we had to use absolute value of f(0) because we need distance between those points and not mathematical sum of them...

Related Questions

The typical exponential function, y = ax, has asymptote ________ and y-intercept ________.
A)y = 0; (0,a)
B)y = 0; (0,1)
C)y = a; (0,a)
D)y = a; (0,1) ...?

Answers

Answer: B) The typical exponential function, y = ax, has asymptote the x-axis and y-intercept x = 0.

Step-by-step explanation:

For the funcion [tex]y = a^x[/tex], the asymptote is the value that the function would never assum, but gets really close. In this case, there is no value for y = 0, because[tex]y = a^x\\0 = a^x \\ln(0) = x.lna\\ln(0)[/tex]is not defined! This way, asymptote is x-axis (y=0).

y-intercept ⇒ x=0, so

[tex]y=a^x\\y=a^0=1[/tex]

This, way, the point (0,1)

alternative b

The typical exponential function y = ax has a horizontal asymptote y = 0 and a y-intercept at the point (0,1), which makes Option B the correct answer.

In this context, the function will approach an asymptote, which is a line that the graph gets infinitely close to without touching. Specifically, for an exponential function, the horizontal asymptote is y = 0 regardless of the value of a, provided that a is nonzero. As the value of x gets very large or very negative, the value of y will get very close to 0 but will never actually reach it.

Additionally, the y-intercept of the function is the point at which it crosses the y-axis. This occurs when x is 0. Substituting 0 for x in the function, we get y = a0, which simplifies to y = 1 because any nonzero number to the power of 0 is 1. Therefore, the y-intercept of the function is (0,1).

So, for the question asking about the asymptote and y-intercept of the typical exponential function y = ax, the correct answer is Option B: asymptote y = 0; y-intercept (0,1).

Amy earned $25 after babysitting for 3 hours.if she always charges the same rate ,how much will she make after working for 7 hours ?

Answers

$58.33 twenty five divided by three times seven
The answer is $37.50 after babysitting for 7 hours!

One angle has 10 degrees more than another angle. The sum of the angles us 90 degrees . How many degrees are in each angle? Please Explain.

Answers

50 degrees in one angle, 40 degrees in the other angle.

50 + 40 = 90.
Final answer:

The smaller angle is 40 degrees and the larger angle is 50 degrees.

Explanation:

Let's represent the smaller angle by x degrees. According to the problem, the larger angle is 10 degrees more than the smaller angle, so it can be represented by x + 10 degrees. The sum of these two angles is 90 degrees, so we can set up the equation:

x + (x + 10) = 90

Simplifying the equation, we get:

2x + 10 = 90

Subtracting 10 from both sides, we have:

2x = 80

Finally, dividing both sides by 2, we find:

x = 40

So, the smaller angle is 40 degrees and the larger angle is 40 + 10 = 50 degrees.

Learn more about Angles here:

https://brainly.com/question/33354646

#SPJ11

0.87 written as a fraction is _____.

Answers

Final answer:

The decimal 0.87 can be written as the fraction 87/100, which cannot be simplified further.

Explanation:

The decimal 0.87 can be written as a fraction by placing the decimal over 100 and then simplifying the fraction if possible. In this case, 0.87 can be written as 87/100. However, this fraction can be simplified further. Both 87 and 100 can be divided by 1, making the simplified fraction 87/100.

Learn more about decimal to fraction conversion here:

https://brainly.com/question/31738948

#SPJ6

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).



At which points could the vertex of the right angle in the triangle be located? Check all that apply.
(–1, 1)
(4, –2)
(1, 1)
(2, –2)
(4, –1)
(–1, 4)

Answers

Answer:

(–1, 1)

(4, –2)

Step-by-step explanation:

Let

(x,y) ----> the coordinates of point C

Applying the Pythagoras Theorem

[tex](-1-4)^2+(-2-1)^2=(x-4)^2+(y-1)^2+(x+1)^2+(y+2)^2[/tex]

step 1

Find the possibles values of x

[tex](-1-4)^2=(x-4)^2+(x+1)^2\\\\25=x^{2}-8x+16+x^{2}+2x+1\\\\2x^{2}-6x-8=0[/tex]

Simplify

[tex]x^{2}-3x-4=0[/tex]

Solve the quadratic equation

[tex]x^{2}-3x-4=(x+1)(x-4)[/tex]

The values of x are

x=-1 and x=4

step 2

Find the possibles values of y

[tex](-2-1)^2=((y-1)^2+(y+2)^2\\\\9=y^{2}-2y+1+y^{2}+4y+4\\\\2y^{2}+2y-4=0[/tex]

Simplify

[tex]y^{2}+y-2=0[/tex]

Solve the quadratic equation

[tex]y^{2}+y-2=(y+2)(y-1)[/tex]

The values of y are

y=-2, y=1

therefore

The possibles coordinates of point C are

(-1,1),(4,-2)

Answer:

(–1, 1)

(4, –2)

Step-by-step explanation:

Given that the hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2), then two triangles can be formed (see figure attached).

The vertex of the right angle in each triangle are on points (-1, 1) and (4, -2), as can be seen in the figure.

The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle

Answers

The altitude of the equilateral triangle is [tex]\( \frac{9\sqrt{3}}{2} \)[/tex] centimeters.

In an equilateral triangle, all three sides are equal in length. Let's denote the length of each side of the equilateral triangle as s centimeters.

The perimeter of an equilateral triangle is given as the sum of the lengths of all three sides:

Perimeter = 3s

Given that the perimeter is 27 centimeters, we can set up the equation:

27 = 3s

Now, we can solve for the length of each side s:

[tex]\[ s = \frac{27}{3} = 9 \][/tex]

So, each side of the equilateral triangle is 9 centimeters long.

Now, to find the altitude of the equilateral triangle, we can use the formula for the altitude of an equilateral triangle, which is:

[tex]\[ \text{Altitude} = \frac{\sqrt{3}}{2} \times \text{Length of a side} \][/tex]

Substituting the length of a side s = 9 into the formula, we get:

[tex]\[ \text{Altitude} = \frac{\sqrt{3}}{2} \times 9 \\\[ \text{Altitude} = \frac{9\sqrt{3}}{2} \][/tex]

So, the altitude of the equilateral triangle is [tex]\( \frac{9\sqrt{3}}{2} \)[/tex] centimeters.

Peaches are being sold for $2 per pound if X represents the number of pounds of peaches bought and Y represents the total cost for the peaches which best describes the value of X and Y

Answers

y=2x because you multiply the amount of peaches by the money per amount and you get the total money

Answer:

Y = 2X is the expression which describes the value of X and Y.

Step-by-step explanation:

Peaches are being sold at the rate = $2 per pound

If X represents the number of pounds of peaches purchased then the total cost of the peaches = 2X

Total cost of the peaches is represented by Y, then the expression will be

Y = 2X

Therefore, expression which shows the relation between X and Y is

Y = 2X

Divide the complex number: 7i/8+i
(i= imaginary #)
show step-by-step solution

Answers

[tex] \frac{7i}{8+i} \\ \\ \frac{7i}{8+i} \times \frac{8-i}{8-i} \\ \\ \frac{7i(8-i)}{(8+i)(8-i)} \\ \\ \frac{56i-7i^2}{64-i^2} \\ \\ \frac{56i-7(-1)}{64-(-1)} \\ \\ \frac{56i+7}{64+1} \\ \\ \frac{56i+7}{65} \\ \\ \frac{56}{65}i + \frac{7}{65} [/tex]

What is 15x7 for the real answer?

Answers

Your answer would be 105. Hope this helps!
15= 10+5

7(10). 7(5)
^. ^
70. + 35


70
+ 35
______
105


The answer is 105

which ordered pairs are a solution to the equation? y=3x Select all that apply (-1,3) (2,5) (1,3) (-2,-6)

Answers

(1,3) and (-2,-6) are both solutions
substitute one by one and see which pair satisfy it.
(-1,3)
3=3(-1)
3=-3 
it is not true,so not a solution.
(2,5)
5=3×1
5=3 
it is not true so not asolution.
(1,3)
3=3×1
3=3
it is true so (1,3)is a solution.
(-2,-6)
-6=3×(-2)
-6=-6
which is true.
Hence (-2,-6) is also a solution.

The tables represent two linear functions in a system.


What is the solution to this system?

(1, 0)
(1, 6)
(8, 26)
(8, –22)

Answers

lets use one of formulas of linear functions:

y = kx + n

Now we need to find k and n for both linear functions. We do that by using table

We need only 2 values of x and 2 coresponding values of y to find k and x for one equation.

Function 1:
10 = k*0 + n which means n1 = 10
2 = k*2 + 10
2k = -8
k1 = -4

Function 2
2 = n2 ( we used values of 3rd row because x = 0 there and we can find n straight away)

-4 = 2k + 2
2k = -6
k2 = -3

Our system is now:

y = -4x + 10
y = -3x + 2
if we subtract second from first we get:
-4x + 3x + 10 - 2 = 0
-x + 8 = 0
x = 8

y = -3*8 + 2 = -22

Answer is (8,-22)

Solve:

3/5 − 6/11

A:3/55

B:3/6

C:3/11

Answers

The answer is: [A]:  3/55 .
__________________________________
Explanation:
__________________________________
(3/5) - (6/11) =  [(3*11) / (5*11) ] - [(6*5) / (11*5)] = (33/55) - (30/55) = 3/ 55.
____________________________________________________

you randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red marble. what is the probability not draw a blue marble

Answers

Likely.... There is a 70% that a blue marble will be chosen so it's a 30% for the blue marvel not to be chosen

Answer:

0.3

Step-by-step explanation:

It is given that,

Number of blue marbles = 7

Number of green marbles = 2

Number of red marbles = 1

Total number of marbles = 7+2+1=10

We need to find the probability that we do not draw a blue marble.

[tex]P=\dfrac{\text{Number of non-blue marbles}}{\text{Total number of marbles}}[/tex]

[tex]P=\dfrac{2+1}{10}[/tex]

[tex]P=\dfrac{3}{10}[/tex]

[tex]P=0.3[/tex]

Therefore, the required probability is 0.3.

Prove triangle dih is congruent to triangle egh

Answers

BOI I need more info on the triangle

Calculate the length of the circumference of a circle with a diameter of 4cm

Answers

length of circumference is 2πr
2 π r and r is equal to 2 cm
I.e 12.5 cm

One side of a triangle is 15 inches, and the area of the triangle is 90 sq. inches. Find the area of a similar triangle in which the corresponding side is 9 inches.

Answers

32.4sq. in. is the correct answer
Skipping steps

x=(90×81)/225

x=32.4

A tortoise is walking in the desert. It walks for 4 minutes at a speed of 10.24 meters per minute. For how many meters does it walk?

Answers

Final answer:

To find the total distance a tortoise walked in the desert, use the formula distance = speed x time. In this case, the tortoise walked 40.96 meters by walking for 4 minutes at a speed of 10.24 meters per minute.

Explanation:

A tortoise is moving laboriously-khwanya-khwanya-khwanya! To calculate the total distance the tortoise walked, we use the formula: distance = speed x time. Given the tortoise walks for 4 minutes at a speed of 10.24 meters per minute, the calculation is 10.24 m/min x 4 min = 40.96 meters. Therefore, the tortoise walked a distance of 40.96 meters.

P= $975, r=5.5%, t=60 days

Answers

So, what is the question if these are given? What do you have to find?

It took morry 2 and 5/6 hours to drive to the beach. it took jason twice as long. about how long did it take jason to drive to the beach?

Answers

It took Jason 5 hours and 40 minutes to get to the beach
2 5/6
x    2
-------
5 2/3

You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. What is the height of the rock after 2 seconds?

Answers

Given the time t = 2 seconds, simply plug in it to the equation.
h = - 16(2)² + 541
= - 16(4) + 541
= - 64 + 541
h = 477 feet

Four of 12 people choose milk what fractional part of the group chose other drinks

Answers

We know that 4 people chose milk. Which means we can conclude that the other people chose other drinks. Thus we can say that 8 people chose other drinks.

Fraction = Chosen Drinks/Total people = 8/12 = 2/3
Final answer:

If four out of 12 people chose milk, then 8 did not choose milk, resulting in a fractional part of 2/3 representing those who chose other drinks.

Explanation:

If four of 12 people chose milk, we can calculate the fractional part of the group that chose other drinks. We subtract the number of people who chose milk from the total number of people surveyed:

12 (total people) - 4 (people who chose milk) = 8 (people who chose other drinks).

The fractional part of the group that chose other drinks is therefore the number of people who chose other drinks divided by the total number of people:

8 (people who chose other drinks) / 12 (total people) = 2/3.

Two-thirds of the group chose drinks other than milk.

Learn more about Fractional Part here:

https://brainly.com/question/32862511

#SPJ2

Find the equation of a line with the gradient 5 passing through the point (2,-5)

Answers

Had to search up word gradient since i didnt know what it meant LUL!

Equation of a line is y = mx + b

You have m, which is the gradient so all you need is b. To do this, sub in the point (2,-5) as x and y to get:

-5 = (5)(2) + b
and you get b equaling to -15

so your equation is y = 5x - 15

you can check this by subbing back in your x value and you should get the same y.

what are the coordinates of the x and y intercepts of the equation 3x+2y=12

Answers

To find the x-intercept you must make y=0

3x+2y=12 - substitute 0 for y
3x+2(0)=12 - multiply 2 and 0
3x+0=12 - add zero
3x=12 - divide by 3
x=4

To find the y-intercept you must make x=0

3x+2y=12 - substitute 0 for x
3(0)+2y=12 - multiply 3 and 0
0+2y=12 - add 0 and 2y
2y=12 - divide by 2
y=6

Find the key number to the equation, the intervals into which the key numbers divide the number line, and the sign of y over each of these intervals. y=x+1/(x-1)^2

Answers

The function seems to be y = (x+1) / (x -1)^2

1) key number

The key number (also called critical values) is where the denominator equals zero.

(x -1)^2 = 0 => x = 1

2) intervals: (-∞,1) ,(1,∞)

3) Sign of the function

The sign of the denominator is always positive, then the sign of the function is the same sign of the numerator 

x +1 > 0 => x > - 1

x+ 1 < 0 => x < -1

Then in the interval (-∞,1) the function is negative for (-∞,-1) and positive for (-1,1).

The function is positive for all the values in the interval (1,∞)

Briefle, the functionis negative in (-∞,-1) and positive in (-1,∞).

what is the slope of 3x + 4Y = 24

Answers

The slope of the line 3x + 4y = 24 is -3/4.

The slope of a line is determined by the coefficient of x in the equation of a line written in the form y = mx + b, where m represents the slope.

In the equation 3x + 4y = 24, rearranging it to the slope-intercept form y = mx + b gives 4y = -3x + 24, and then y = -3/4x + 6. Thus, the slope is -3/4.

Which is longer 1/4 foot or 1/4 yard?

Answers

1/4 yard is longer because it takes 3 feet to equal to 1 yard

Final answer:

1/4 yard is longer than 1/4 foot because 1/4 yard is equivalent to 3/4 foot, and 3/4 is greater than 1/4.

Explanation:

The question is asking to compare the lengths of 1/4 foot and 1/4 yard. To make this comparison, it is crucial to understand the relationship between feet and yards. From the reference information, we know that 1 yard is equal to 3 feet. Thus, to find how long 1/4 yard is in feet, we use the conversion ratio:

1/4 yd = (1/4) × 3 ft = 3/4 ft.

Now, we compare 1/4 foot with 3/4 foot. Since 3/4 is greater than 1/4, it is clear that 1/4 yard is longer than 1/4 foot.

If $7,000 is placed in an account with an annual interest rate of 5.5%, how long will it take the amount to triple if the interest is compounded annually? Round your answer to two decimal places.
...?

Answers

A= P(1 + r/n) ^nt
21000=7000(1+0.055/2)^1t

t = 20.52 years

A hummingbird beats its wings about 75 times in one second. Based on this rate, what is the number of times a hummingbird beats its wings one minute?

Answers

i believe it is 75= 1.25 
1 minute equals 60 seconds
75 × 60 seconds = 4,500 beats a minute

what I'll are the coordinates of point J (-5, -3) if point k (1,2) is the midpoint of JL

a) 4, 1
b) 7, 7
c) 8, 2
d) 6, 5

Answers

I hope this helps you
Hope it's understandable...

What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
A. -676
B.-650
C.-624
D.-598

Answers

First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
Sn = n*(151+(-14n+165))/2
S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
S26 = -624

The final answer here is choice C) -624

Answer:

option C -624

Step-by-step explanation:

Other Questions
Select the choice which best identifies the given passage from "The Cask of Amontillado." "I reapproached the wall; I replied to the yells of him who clamoured. I re-echoed--I aided--I surpassed them in volume and in strength. I did this, and the clamourer grew still."a. Irony/sarcasm b. Setting c. Characterization d. Tragic resolution Tomato plants usually have hairy stems. Hairless stems are present in tomato plants that are homozygous recessive for this trait. If the stem characteristics are determined by a single gene, what is the expected outcome of crossing two tomato plants that are heterozygous for hairy stems? what is four- fifths of twenty Which sentence uses punctuation and capitalization correctly? A. The train traveled through Washington, Oregon, and California. B. The Train traveled through Washington, Oregon, and California. C. The train traveled through washington, oregon, and california. In what field did significant technological innovations occur in the late 1800s? A. Building materials B. Communication C. Transportation D. All of the above WILL UPVOTE 5 TIMES IF YOU ANSWER!!All of the following are areas of science EXCEPTa) biology, the study of lifeb) chemistry, the study of matterc) astrology, the study of horoscopesd) astronomy, the study of the universe Which statement most completely describes the role of the cell in a single-celled organism?A. It provides the organism with nutrition and a means of locomotionB. It provides the chemical functioning and genetic material that enables life, growth, and reproductionC. It provides a boundary between the organism and its environment D. It provides the support structure that the organism lack because it has no true skeleton secx-cosx/tanx=___? Explain pls ...? Seed X has 20 chromosomes. How many chromosomes will a daughter cells have after meiosis? In at least two well-written paragraphs, explain the significance of one of the cases below and describe how the case relates to federalism. McCulloch v. Maryland, Gibbons v. Ogden, or District of Columbia v. Heller Consider the following statements. Which one does not belong? a/ Attitude is more important than intelligence. b. The mental picture you hold of yourself can either lead to great success or block the road to accomplishment. c. Whether you think you can, or think you can't, you are right. d. Someone giving you lots of attention can bestow self-esteem upon you. I know its not an english question but i needed help ...? does anyone know about jason scarpace 1. What is one convention Pueblo women traditionally use in pottery-making? They use a potters wheel to form vessel shapes. They cast their pots using fine plaster. They decorate pots with symbols representing great adventures. They form vessel shapes using clay coils. One's perception depends on the way the brain interprets the stimuli. true or false Callie loves flowers she picks. 4 tulips for every daisy she picks callie's mom also gave her 6 tulips this week from her garden.how many tulips will Callie have this week if she picks 3 daisies The following are all examples of rigorous coursework except: A.physical education courses. B.AP courses. C.dual enrollment courses. D.IB courses. Iodine would have chemical properties most like -F.manganeseG.telluriumH.chlorineI.xenon A circle has an area of approximately 78.5 square units. If the center of the circle is at (2,4). Which of the following points is on the circle?(-6, 4)(2, -1)(-4, -4)(2, -9) Evaluate |x-13| when x=5.A.8B.-8C.21D.-21 Foreign Exchange RatesCounty / CurrencyForeign Currency in U.S. DollarsU.S. Dollars in Foreign CurrencyUK / Pound2.0292.4928Japan / Yen.0084118.9599India / Rupee.024840.3950Canada / Dollar.93941.0645 Micah is an exchange student living in Japan. He wants to buy a new-release movie for 2,000 Japanese yen. When he calls home, he discovers the movie sells for $25. Micah decides toA)wait because the movie costs relatively the same amount in both countries.B)buy the movie in Japan because it is relatively less expensive than in the U.S.C)wait to buy the movie in the U.S. because it is relatively less expensive in the U.S.D)buy the movie in the U.S. and pay $10 to ship it because the total cost will still be less.