Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__

Answers

Answer 1
Answer:   -2

========================================================

Explanation:

Plug in x = -1 to find that

f(x) = 2|x-1|

f(-1) = 2|-1-1|

f(-1) = 2|-2|

f(-1) = 2*(2)

f(-1) = 4

If you repeat for x = 1, you should find that f(1) = 0

--------

Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\[/tex]

The average rate of change on this interval is -2

This is the same as finding the slope through the points (-1, 4) and (1, 0).


Related Questions

Use the explicit formula an = a + (n-1). d to find the 500th term of the
sequence below.
24, 31, 38, 45, 52, ...

Answers

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. Estimate how far the hurdles are from one another. Do not include units (meters) in your answer. Round your answer to the nearest whole meter. plzzzzzzzzzzzzzzz help

Answers

Answer:

7.5 metres

Step-by-step explanation:

According to the Question,

Given,Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.

Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m

Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)

So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.

Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room

Answers

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

PLEASE HELP LOL
what type of angles are <4 and <8

Answers

Answer:

C. Corresponding angles

Step-by-step explanation:

Visualize the two points of intersection and the four angles around each of them being separated. If you put the on top of each other, you can see that angle 4 corresponds with angle 8.

Answer: corresponding :)

Step-by-step explanation:

corresponding angles are angles that are in the same position relative to lines intersected by a transversal

basically theyre equal and on the same side of the transversal

hope this helps :)

Find the solution to the equation 8n - 9 = 63.

Answers

Answer:

9

Step-by-step explanation:

63+9=72

72/8=9

hope this helped

Answer:

[tex]8n - 9 = 63 \\ 63 + 9 = 8n \\ 72 \div 8 = n \\ n = 9[/tex]

78.4 divided by 0.56

Answers

One hundred and forty

giving brainlist again:) please help

Answers

Answer:

midpoint x=5/2&y=-7/2 this might be helpful

I think the answer is (-½, ½)

Which decimal is equivalent to 4/3

Answers

Answer:

1.33333333333 repeating

Step-by-step explanation:

Hope this helps

Answer:

1.3333

Step-by-step explanation:

Given any triangle ABC labeled as shown the law of sines states that:

Answers

the answer is C to this question

By visual inspection determine the best-fitting regression model for the data plot below

Answers

Answer:

Exponential

Step-by-step explanation:

By visual inspection the graph generated by the points plotted is an exponential graph as the graph curves upward. The graph is also continous and differs from either a decreasing or increasing Linear graph, which shows a straight best of fit pattern. Hence, the graph most closely represents an exponential graph from visual examination.

The best-fitting regression model for the considered data plot is given by:

Option A: Exponential.

What is fitting of curve for a data plot?

When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.

The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).

Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.

Learn more about exponential functions here:

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Someone please help me It’s getting late and it’s due tomorrow

Explain why the equation
1- x= 5(x - 4) - 6x has no solution.

Answers

Answer:

After the distribution of the 5 and the addition of x to both sides, the x variable is cancelled out leaving 1 = - 20.

This statement is false. Hence, no solution

Step-by-step explanation:

1 - x = 5(x - 4) - 6x (Distribute 5)

1 - x = 5x - 20 - 6x (Combine like terms)

1 - x = -x - 20  add x to both sides

1 = - 20 False

Write the equation of the line in fully simplified slope-intercept form.
12
11
10
-12-11-10-9-8
1 2 3
5 6
8 9 10 11 12
-3
-4
-9
-10

Answers

Answer:

y=1/2x+6

Step-by-step explanation:

Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left
in her account?

Answers

Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

given parallelogram BCDE

what is the equation to find x?
what is x?
what is length of side CD?

please help​

Answers

Answer:

x=3

CD = 13

Step-by-step explanation:

BE = CD in a parallelogram

1+4x = 5x -2

Subtract 4x from each side

1+4x-4x = 5x-2 -4x

1 = x-2

Add 2 to each side

1+2 = x-2+2

3 =x

The length of CD

CD = 5x-2 = 5*3 -2 = 15-2 = 13

The sides of a triangle are 4, 7, and 10. The triangle is dilated by a scale factor of 3 to create a
new triangle. Find the perimeter of the new triangle.
A
21 units
B
63 units
30 units
D
25 units

Answers

Answer:

B 63 units

Step-by-step explanation:

Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up

The system of equations can be solved using linear combination to eliminate one of the variables. 2x − y = −4 → 10x − 5y = −20 3x + 5y = 59 → 3x + 5y = 59 13x = 39 Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

Answers

Answer:

[tex]13x=39[/tex]

Step-by-step explanation:

Given

[tex]2x - y = -4 \to 10x - 5y =-20[/tex]

[tex]3x +5y =59 \to 3x +5y = 59[/tex]

Required

What can replace [tex]3x +5y = 59[/tex] ?

We have:

[tex]10x - 5y =-20[/tex]

and

[tex]3x +5y = 59[/tex]

Add up both equations:

[tex]10x +3x-5y+5y=-20+59[/tex]

[tex]10x +3x=39[/tex]

[tex]13x=39[/tex]

Since [tex]13x=39[/tex] is a result of [tex]10x - 5y =-20[/tex] and [tex]3x +5y = 59[/tex],

[tex]13x=39[/tex] can replace [tex]10x +3x=39[/tex]

Write an equation for the data shown in each table.

Answers

Answer:

1) f(x) = 500·(1.1)ˣ

2) f(x) = 500·(0.9)ˣ

Step-by-step explanation:

1) The given values in the table are;

x; 0, 1, 2, 3

f(x); 500, 550, 605, 665.5

By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;

550/500 = 11/10 = 1.1 = 605/550 = 665.5/605

From which we have;

The values of f(x) are in a geometric progression

The nth of a geometric progression = a·rⁿ

The common ratio, r = 1.1

The first term, a = 500

The number of terms, n = x

Therefore, xth term, f(x) = a×(r)ˣ

Substituting the values gives;

The equation for the data shown in the table is f(x) = 500·(1.1)ˣ

2) The given table of values is presented as follows;

x; 0, 1, 2, 3

f(x); 500, 450, 405, 364.5

The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405

The terms of f(x) are in a geometric progression

The first term. a = 500

The common ratio, r = 9/10 = 0.9

The nth term of a geometric progression, G.P. = a·rⁿ

By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;

The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.

what time did he reach ???​

Answers

Answer: 2050hrs

Step-by-step explanation:

If he is going 72 km/hr and he traveled 504 km we can calculate how long he took to go by dividing the distance he went by distance per hour. That will give us the amount of hours that he took to get there. That would be [tex]\frac{504}{72}[/tex]. [tex]\frac{504}{72}=7[/tex] so it took him 7 hours to get there. 7 hours after 1350 is 2050 assuming we are using the 24 hour clock notation.

2. Si x representa la edad de Ana, ¿cómo se
escribe en simbolos "la mitad de la edad de
Ana"?

Answers

Si coma Ana¿ la Mitad de la edad

Need help please anwer all its one page question i put in two bc it didnt fit

Answers

Answer:

sorry only doing the ones i know how to do

b) for the histogram, just write all the numbers on the table on the bottom, theres 13 lines but 2 repeats so it should be even. on the side write a range of minutes

c) mean = 7.8 ; standard deviation = 3.13

d)

min = 2

max = 13

range = 11

q1 = 5.5

q3 = 10.75

iqr = 5.25

median = 8

what does iqr represent? it represents the middle 50% of all the values

e) write the numbers from the table without repeats and mark them how many times theyre written

Which best describes the product of these two radicals?
√2-√7

The product is rational because both V2 and V7 are rational numbers,

The product is irrational because both 2 and 7 are irrational numbers.

The product is rational because at least one factor is rational,

The product is irrational because one of the factors is an odd number.

Answers

Answer:

second option: product is irrational because both are irrational

Step-by-step explanation:

The second option which is the product is irrational because both are irrational numbers.

What is irrational number?

These are those numbers which are impossible to  be written in the form of p/q.

How to determine the product?

We have been the given the following numbers.

[tex]\sqrt{2 } and \sqrt{7}[/tex] and we have been asked to find the description of the product of both. We know that these are irrational numbers because it cannot be written in the form of p/q. When we multiply this we can get root 14 which is also a irrational number.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer and Step-by-step explanation:

Mandy travels more miles.

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

#teamtrees #PAW (Plant And Water)

Answer:

mandy

Step-by-step explanation:

so mandy has 10 miles and 9 trips to school matt has 8 miles and 11 trips to school so mandy is 10x9=90

and matt is 11x8=88

mandy=90

matt=88

The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240​

Answers

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

What is the value of x?

Answers

Answer:

98deg

Step-by-step explanation:

Angles in a triangular add to 180.

180-(53+45) is the top angle.

Angles on a line add a up to 180

180 - triangles top angle = x

Is the relationship between the variables in the table a direct or inverse variation or neither? If it is direct or inverse, write a function to model it.
x 4 8 16 32
y 32 16 8 4

Answers

Step-by-step explanation:

this is inverse variation

the function is

xy = 128

=> y = 128/x

Please help!?
Use △DEF, shown below, to answer the question that follows: What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below

Answers

Answer:

x=63.25

Step-by-step explanation:

Hi there!

We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x

we need to find the value of x

Let's use trigonometry to do it

Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)

so tan(49)=[tex]\frac{x}{55}[/tex]

plug tan(49) into your calculator; remember to have the calculator on degree mode

tan(49)≈1.15 (rounded to the nearest hundredth)

so that means:

1.15=[tex]\frac{x}{55}[/tex]

multiply both sides by 55 to clear the fraction

63.25=x

Hope this helps!

12. The length and width of a rectangle are in the ratio 7:3. If the perimeter is 62cm calculate: (1) the width (ii) the length of a diagonal to the nearest centimetre. (iii) the area of the rectangle.​

Answers

Answer:

Step-by-step explanation:

Length = 7x

Width = 3x

Perimeter = 2L + 2W

Part A

2*7x + 2*3x = 62

14x + 6x = 62

20x = 62

x = 62/20

x = 3.1

Length = 3.1 * 7     21.7

Width = 3.1 *3        9.3

Width = 9.3

Part B

Use the Pythagorean Theorem

diagonal squared = 21.7^2 + 9.3^2

diagonal^2 = 557.38

sqrt(diagonal^2) = sqrt(557.38)

diagonal = 23.61

To the nearest cm is 24

Part C

Area = L*W

Area = 21.7 * 9.3

Area = 201.8

Solve pleaseeeeeeeeeeeeee

Answers

Answer:

x > 3

Step-by-step explanation:

___________________

What is the domain of the function y=%/x-1?
O- o -1 < x < oo
0 O 1

Answers

Answer:

[tex]-\infty < x < \infty[/tex]

Step-by-step explanation:

Given

[tex]y = \sqrt[3]{x - 1}[/tex]

Required

The domain

The given function is cubic root; there are no restrictions on cubic root functions

Hence, the domain is:

[tex]-\infty < x < \infty[/tex]

someone please help, I need it, show all work.


Sadia works at a theatre selling popcorn. Large boxes of popcorn sell

for $5.00 and small boxes of popcorn sell for $3.00. During her shift

last night, she sold 60 boxes of popcorn. Her receipts totalled $260,

not including taxes. Determine the number of large and small

popcorn boxes she sold last night.

Answers

Answer:

its 55 not 60

Step-by-step explanation:

just divide 260 by 5 and 3

The required number of large and small popcorn boxes sold are 40 and 20 respectively.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of the large box be x and the small box is y.
According to the question,
5x + 3y = 260   - - - - - -  -(1)
x + y = 60
x = 60 - y - - - - - - - - (2)
Put the value of equation, (2) in equation 1
5 (60 - y) + 3y = 260
300 - 5y + 3y = 260
2y = 40
y = 20
Now,
x = 60 - 20
x = 40

Thus, the required number of large and small popcorn boxes sold are 40 and 20 respectively.

Learn more about arithmetic here:

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What kind of story ridicules another story to make a point?O an allusiona punan anecdotea parody Solve pleaseeeeeeeeeeeeee In a public opinion survey, 80 out of a sample of 100 high-income voters and 55 out of a sample of 80 low-income voters supported the introduction of a new national security tax.a/ Estimate, with 95% confidence level, the true proportion of low-income people who will vote for the introduction of the tax.b/ Can we conclude at the 5% level of significance that the proportion of high-income voters favoring the new security tax is 10% higher than that of low-income voters? who were the first inhabitants of South Africa A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000 N of lift per square meter of wing. (The fact that a wing has a top and bottom surface does not double its area.) (a) At takeoff the aircraft travels at 63.0 m/s, so that the air speed relative to the bottom of the wing is 63.0 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast (in m/s) must it move over the upper surface to create the ideal lift You are given the task to write an alternate ending to "It's Only Fair. Your assignment is to change the ending so that the flat character becomes a dynamic character due to conflict. Which ending is the best choice to accomplish this assignment?After they argue, Maritza ignores Avery, and she writes about Irene Morgan.After they argue, Maritza agrees with Avery, and they write only about the more popularly known activist, Rosa Parks.After they argue, Maritza convinces Avery, and they write about both Rosa Parks and Irene Morgan.After they argue, Maritza and Avery are unable to agree on whether to write about Rosa Parks or Irene Morgan. The sides of a triangle are 4, 7, and 10. The triangle is dilated by a scale factor of 3 to create anew triangle. Find the perimeter of the new triangle.A21 unitsB63 units30 unitsD25 units Bo decides to establish a fund that it will use 10 years from now to replace an aging production facility. The company will make a $100,000 initial contribution to the fund and plans to make quarterly contributions of $50,000 beginning in three months. The fund earns 12%, compounded quarterly. What will be the value of the fund 10 years from now given parallelogram BCDEwhat is the equation to find x?what is x?what is length of side CD?please help Explain how over cultivated land can increase the risk of flooding Given any triangle ABC labeled as shown the law of sines states that: 29. Which of the following events during the Bolshevik Revolution most concerned US business interests?O Lenin's relations with Cossacks.removal of Nicholas II who was an old friend of the US government.O Bolshevik takeover of all heavy industrythreats to invade US colonies Which sentence from the excerpt best helps the reader infer who transformed Dryope into a tree? The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?Ans 2280,2502,240 Please help!?Use DEF, shown below, to answer the question that follows: What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below Choose the function whose graph is given by: A. y=tan(x+1)-pi B. y=tan(x-pi)-1 C. y=tan(x-pi)+1 D. y=tan(2(x+pi))-1 12. The length and width of a rectangle are in the ratio 7:3. If the perimeter is 62cm calculate: (1) the width (ii) the length of a diagonal to the nearest centimetre. (iii) the area of the rectangle. 2. Si x representa la edad de Ana, cmo seescribe en simbolos "la mitad de la edad deAna"? what is the third mammalian feature Following is selected financial information from General Mills Inc. for its fiscal year ended May 27, 2018 ($ millions). Cost of goods sold (COGS) $14,438.1 Cash from operating activities $3,977.4 Cash from investing activities (12,159.6) Noncash assets, end of year 42,315.0 Cash, end of year 558.6 Cash from financing activities* 7,668.2 Income tax expense 80.2 Total assets, beginning of year 30,537.6 Revenue 22,036.6 Total liabilities, end of year** 33,784.2 Total expenses, other than COGS 4,490.1 Stockholders' equity, end of year 9,089.4 and income tax * Cash from financing activities includes the effects of foreign exchange rate fluctuations. ** Total liabilities includes redeemable interest. a. Prepare the income statement for the year ended May 27, 2018. Note: Do not use negative signs with any of your answers. General Mills Income Statement ($ millions) For the year ended May 27, 2018 Answer Answer Answer Answer Answer Answer Answer Answer Answer Answer Answer Answer Answer Answer b. Prepare the balance sheet as of May 27, 2018. General Mills Balance Sheet ($ millions) May 27, 2018 Answer Answer Answer Answer Answer Answer Answer