Consider the graph of function f below. A diagonal curve declines through (negative 6, 7), (negative 5, 5), (negative 4, 3), (negative 3, 1), (3, negative 1, negative 3), (0, negative 5) and (1, negative 7) on the x y coordinate plane. The function g is a transformation of f. If g has a y-intercept at -1, which of the following functions could represent g? A. g(x) = f(x) - 1 B. g(x) = f(x + 4) C. g(x) = f(x - 1) D. g(x) = f(x) + 4

Consider The Graph Of Function F Below. A Diagonal Curve Declines Through (negative 6, 7), (negative

Answers

Answer 1

The function g(x) is defined as follows:

D. g(x) = f(x) + 4.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

The y-intercept for each function is given as follows:

f(x): y = -5.g(x): y = -1.

Meaning that g(x) is a translation up four units of function f(x), hence it is defined as follows:

g(x) = f(x) + 4.

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Answer 2

Answer: D

Step-by-step explanation:

The function g(x) is defined as follows:

D. g(x) = f(x) + 4.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).

Translation right a units: f(x - a).

Translation up a units: f(x) + a.

Translation down a units: f(x) - a.

The y-intercept for each function is given as follows:

f(x): y = -5.

g(x): y = -1.

Meaning that g(x) is a translation up four units of function f(x), hence it is defined as follows:

g(x) = f(x) + 4.


Related Questions

A swimming pool holds 450, 000 L
of water and has two drainage
pipes.
Pipe A, by itself, can drain the pool
in 150 minutes. Pipe B, by itself, can
drain the pool in 225 minutes.
If you turned on both pipes at the
same time, how many minutes
would it take to drain the pool?

Answers

Using a linear equation, the minutes it would take both pipes to drain the swimming pool that holds 450,000 liters is 90 minutes.

What is a linear equation?

A linear equation is an equation of a straight line written in the form of y = mx +b, where m is the slope.

The quantity of water the swimming pool holds = 450,000 liters

The drainage time of Pipe A working alone = 150 minutes

Drainage rate of Pipe A = 3,000 liters per minute (450,000 ÷ 150)

The drainage time of Pipe B working alone = 225 minutes

Drainage rate of Pipe B = 2,000 liters per minute (450,000 ÷ 225)

The drainage rate of the combined pipes = 5,000 liters per minute (3,000 + 2,000)

Let the number of minutes for both pipes to drain the pool = x

Therefore, the linear equation is 5,000x = 450,000

x = 90 minutes (450,000 ÷ 5,000)

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Can anybody help me quick 21 points

Answers

Let the number of apartments be x. We know that the cost of the digits is $1 each, and that the total cost of the digits is $282. Therefore, we can set up the following equation:

1x + 1(x+1) + 1(x+2) + ... + 1(x+(n-1)) = 282

Simplifying this equation, we get:

nx + n(n-1)/2 = 282

We can solve for n using the quadratic formula:

n = (-1 ± sqrt(1 + 4(2*282)))/2

n = 21.06 or n = -20.06

Since the number of apartments must be a positive integer, we can round up to the nearest integer, giving us n = 22. Therefore, Tabitha will be numbering 22 apartments.

Extra: On Monday, the store sells 1s for half price, or $0.50. This means that the total cost of the digits would be:

1x + 0.5(x+1) + 0.5(x+2) + ... + 0.5(x+(n-1)) = 141

Simplifying this equation, we get:

nx + n(n-1)/4 = 141

Using the quadratic formula again, we get:

n = (-1 ± sqrt(1 + 4(4*141)))/2

n = 16.76 or n = -15.76

Rounding up to the nearest integer, we get n = 17. Therefore, if Tabitha had bought the digits on Monday, she could have saved 5 digits, or $5.

Solve the equation without using a calculator

[tex](x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-1)[/tex]

Answers

Answer:

x = 5 ± √26

-------------------------

Convert the given equation as below:

[tex](x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-1)[/tex][tex](x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-9x-1)+10x^9(9x)[/tex][tex](x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-9x-1)+90x^{10}[/tex][tex](x^2-9x-1)^{10}+9x^{10}=10x^9(x^2-9x-1)[/tex][tex](x^2-9x-1)^{10}-9x^9(x^2-9x-1)=x^9(x^2-9x-1)-9x^9x[/tex]

Let's substitute x² - 9x - 1 = t, then the equation is:

[tex]t^9t-9x^9t=x^9t-9x^9x[/tex]

Comparing both sides, we see that x = t, so:

x² - 9x - 1 = xx² - 10x - 1 = 0

Solving this quadratic equation we get:

x = 5 ± √26

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The solution for x in the equation (x – 7)^2 = 36 are x = 13 and x = 1

Solving for x in the equation

We can solve for x by taking the square root of both sides of the equation:

(x – 7)^2 = 36

Taking the square root of both sides:

x - 7 = ±6

Adding 7 to both sides:

x = 7 ± 6

Therefore, the values of x are:

x = 7 + 6 = 13

x = 7 - 6 = 1

So the correct answers are x = 13 and x = 1. The values x = -29 and x = 42 are not solutions to the equation.

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find the probability that a randomly selected point within the large square falls in the red shaded square 6 6 15 15 p= enter as a decimal rounded to the nearest hundredth

Answers

The probability that a randomly selected point within the red-shaded square is 0.16

Finding the probability of a point

From the question, we have the following parameters that can be used in our computation:

Red square of 6 by 6White square of length 15

The areas of the above shapes are

Red square = 6 * 6 = 36

White square = 15^2 = 225

The probability is then calculated as

P = Red square /White square

So, we have

P = 36/225

Evaluate

P = 0.16

Hence, the calculated value of the probability that the point falls in the red square is 0.16

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Elin chose C as the correct answer. Explain how she got her answer.

Answers

Answer:

Elin concluded that car B travels a distance of 265.8 km during the same time based on her interpretation of the given information.

Step-by-step explanation:

My apologies for the confusion. Let's analyze how Elin arrived at her answer.

According to the given information, car A travels 221.5 km at a given time. Elin interpreted the statement "car B travels 1.2 times the distance car A travels at the same time" to mean that the distance traveled by car B is 1.2 times the distance traveled by car A.

To calculate the distance traveled by car B, Elin multiplied the distance of car A (221.5 km) by 1.2:

Distance of Car B = 1.2 * Distance of Car A

Distance of Car B = 1.2 * 221.5 km

Distance of Car B = 265.8 km

Therefore, Elin concluded that car B travels a distance of 265.8 km during the same time based on her interpretation of the given information.

There are 6 bottles of water.
Each bottle is 1/2 full. If you
were to combine all the
water, how many full bottles
of water would there be?

Answers

Answer:3

Step-by-step explanation: 1/2 X 6 = 3

Answer:

6 x 1/2 = 3 full bottles

Step-by-step explanation:

5.
Andre is playing a new card game. This game uses 4 sets of cards:
green, blue, yellow, and red. Each set has 15 cards numbered from
1 to 15. Select all of the actions that have more than 4 possible
outcomes. 7.SP.8, 7.SP.8b
0
selecting a blue card less than 5
selecting a red card greater than 13
selecting a yellow 12 card
selecting an 8 or 9 card of any color
selecting an even-numbered green card greater than 4
selecting a yellow card greater than 4²
selecting a blue card that is a multiple of 3

Answers

The actions that have more than 4 possible outcomes are:

- Selecting an 8 or 9 card of any color (each set has 2 cards for a total of 8 possible outcomes)

- Selecting a yellow card greater than 4² (there are 7 yellow cards that meet this criteria)

- Selecting a blue card that is a multiple of 3 (there are 5 blue cards that meet this criteria)

Therefore, only three of the given actions have more than 4 possible outcomes.

Please help will mark Brainly

Answers

A.
The number of tickets day and evening combined should be more then 8 since it says at least 8 tickets. However the cost of the tickets which is 15x+30y (multiply the amount of tickets bought by the cost) should be less then 300 bucks since they have a budget. Hope this helps!

What is the relation between the variables in the equation

Answers

The equation x⁴/y = 7 represents a relationship of direct proportionality between x and y, where x⁴ and y are inversely proportional to each other.

The equation x⁴/y = 7 represents a relationship between the variables x and y. Specifically, it shows that the fourth power of x divided by y is equal to 7.

This equation can be rewritten as x⁴ = 7y, which means that if we know the value of y, we can determine the corresponding value of x that satisfies the equation. For example, if y = 1, then x⁴ = 7, and taking the fourth root of both sides of the equation gives us x = ± √7.

Conversely, if we know the value of x, we can solve for y by rearranging the equation as y = x⁴/7. This shows that y is directly proportional to x raised to the fourth power, meaning that as x increases, y will also increase, but at a faster rate due to the exponent of 4.

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A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=592 who said "yes." Use a 90% confidence level.

Answers

The values received after utilizing confidence interval are (0.614, 0.674)

Poll = n = 918

X = 592

Calculating the value of p -

p = x/n

= 592/918

= 0.644

The mean of an estimate plus and minus the range of that estimate constitutes a confidence interval. inside a specific degree of confidence, this is the range of values that anticipates the estimate to fall inside if the test is repeated.

Using the formula of confidence interval -

[tex]CI = p + z\sqrt{} p ( 1-p/n)[/tex]

Substituting the values -

[tex]CI = 0.644 + 1.645 \sqrt{} ( 0.644 ( 1 - 0.644) / 918)[/tex]

= 0.644 ± 0.030

Thus, the interval values are -

= 0.644 + 0.030 = 0.674

= 0.644 - 0.030 = 0.614

With 90% certainty that this range represents the true percentage of the population who feel vulnerable to identity theft.

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Piston movement compresses air in this type of air compressor. Medium size compressors Industrial compressors Small compressors Horizontal compressors​

Answers

Piston movement compresses air in Small compressors type of air compressor

Piston movement compresses air in small compressors. Small compressors, also known as portable compressors, are commonly used for home improvement projects, powering tools, and inflating tires or other objects. The piston moves back and forth inside a cylinder, compressing air and increasing its pressure. The compressed air is then stored in a tank until it is needed to power a tool or inflate an object.

Small compressors are generally less powerful than medium or industrial compressors, but they are more affordable, portable, and easier to use for smaller tasks. They can be powered by electricity or gasoline, and they come in a range of sizes and capacities to meet different needs. Overall, piston-driven small compressors are an efficient and cost-effective way to compress air for various applications.

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I need help i don't know how to do this please

Answers

The size of matrix cM is given as follows:

9 x 10.

What happens when a matrix is multiplied by a constant?

When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.

The parameters for this problem are given as follows:

Constant c.Matrix M of dimensions 9 x 10.

Hence the size of matrix cM is given as follows:

9 x 10.

(same size as the original matrix, as we simplify multiply each element in the matrix by the constant, hence the dimensions remain the same).

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According to a recent poll, 22% of US adults get an average of 7 or more hours of sleep per night. Assume this is the parameter value for the population. Suppose you select a simple random sample of 50 US adults and find that 10 of them get an average of 7 or more hours of sleep per night. Let p(hat) = the proportion in the sample who get an average of 7 or more hours of sleep per night.

Assuming the polling information is true, the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night is ?
answer is .3664

If needed, use the z-table to answer the question.

Answers

assuming the polling information is true, is 0.4019 or approximately 0.3664 when rounded to four decimal places.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The mean of the sample proportion distribution is given by:

μp(hat) = p = 0.22

The standard deviation of the sample proportion distribution is given by:

σp(hat) = sqrt((p*(1-p))/n) = sqrt((0.22*0.78)/50) = 0.0802

To find the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night, we need to find the z-score corresponding to this value:

z = (0.20 - 0.22) / 0.0802 = -0.2494

Using a standard normal table or calculator, we find that the probability of obtaining a z-score of -0.2494 or less is 0.4019. Therefore, the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night,

Hence assuming the polling information is true, is 0.4019 or approximately 0.3664 when rounded to four decimal places.

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3. Point F(21, -14) is rotated-90° clockwise about the origin. What are the coordinates of F’

Answers

Answer: The coordinates of F' are (14, 21).

Step-by-step explanation:

       Since we are rotating -90° clockwise about the origin (or 90° counterclockwise), we will apply (x, y) becoming (-y,x). I have also graphed this, see attached.

               (21, -14) ➜ (14, 21)

               The coordinates of F' are (14, 21).

For the right triangle shown below, find the exact values of:
sin⁡B b)tan⁡A c)cos⁡A

Answers

Answer:

17

Step-by-step explanation:

11+6=17

(a) The exact value of sin B is 6 / 12.53

(b) The exact value of tan A is 11 / 6

(c) The exact value of cos A is 6 / 11

What is the value of  sin (B) , tan (A) and cos (A)?

The value of sin (B), cos (A) and tan (A) is calculated by applying trigonometry ratio as follows;

The trigonometry ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The value of the hypotenuse side of the right triangle is;

L = √ (6² + 11²)

L = 12.53

(a) The exact value of sin B is;

sin B = 6 / 12.53

(b) The exact value of tan A is;

tan A = 11 / 6

(c) The exact value of cos A is;

cos A = 6 / 11

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Factor the polynomial, if possible. Check your answer using foil.
y² + 49

Answers

Answer:

its prime

Step-by-step explanation:

it can not be factored using foil

I know is blurry just pls help

Answers

12 - 2^2 x 2

---Remember: PEMDAS

---In this case exponents are first, then multiplication, then subtraction

12 - 4 x 2

12 - 8

4

Answer: 4

Hope this helps!

The National Academy of Science reported in a 1997 study that 40% of research in mathematics is published by U.S. authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 40%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 130 recent articles published by reputable mathematics research journals and finds that 62 of these articles have U.S. authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 40%? Use a 0.05 level of significance.

Answers

There is evidence to suggest that the percentage of mathematics research published by U.S. authors is no longer 40%.

How to test for the evidence

To test the claim that the percentage of research in mathematics published by U.S. authors is no longer 40%, we can use a hypothesis test with a 0.05 level of significance.

Let p be the true proportion of mathematics research published by U.S. authors.

The null hypothesis is that p = 0.4, and the alternative hypothesis is that p ≠ 0.4 (two-tailed test).

sample proportion, x/n = 62/130 = 0.477

The test statistic for a two-tailed test is given by:

z = (0.477 - 0.4) / √(0.4 * 0.6 / 130)

= 2.41

Using a z-table, we find that the p-value for a two-tailed test with z = 2.41 is approximately 0.016.

Since  0.016 < 0.05

, we reject the null hypothesis and conclude that there is evidence to suggest that the percentage of mathematics research published by U.S. authors is no longer 40%.

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7
35cm
42cm
X =
6cm
cm
N
HELP ME FAST GUYS!! Asap

Answers

The value of x in the polygon is 5 centimetres.

How to find the side of similar polygon?

A polygon is a two-dimensional geometric figure that has a particular number of sides.

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio .

Therefore, using the ratio of the similar polygon, let's find the value of x as follows:

35 / x = 42 / 6

cross multiply

35 × 6 = 42x

210 = 42x

divide both sides of the equation by 42

x = 210 / 42

x = 5 cm

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Write the equation of a line perpendicular to y = −5/9x + 4 and that passes through point (-5,-4) in slope intercept form.

Answers

Answer: y = (9/5)x + 5.

Step-by-step explanation:

The slope of the given line is -5/9. The slope of a line perpendicular to it would be the negative reciprocal of -5/9, which is 9/5. Using the point-slope form of a line, we can write the equation of the line as y - (-4) = (9/5)(x - (-5)). Simplifying this equation gives y + 4 = (9/5)x + 9. Solving for y, we get y = (9/5)x + 5. This is the equation of the line in slope-intercept form.

In summary, the equation of a line perpendicular to y = −5/9x + 4 and that passes through point (-5,-4) is y = (9/5)x + 5.

i need an answer for this with explanation ​

Answers

Answer: 76

Step-by-step explanation:

The surface area is all of the area faces added together

The blue is 5*4  but I have 2 of those faces so I multiply by 2

(5*4*2)=40

The red is 4*2  but I have 2 of those faces so I multiply by 2

(4*2*2)=16

The green is 5*2  but I have 2 of those faces so I multiply by 2

(5*2*2)=20

Add those together

A=40+16+20=76

In a class of 26 students, a teacher chooses a different student to each present five different homework problems. Which statement describes the number of ways the students can be chosen to present the problems? There are 26C5 = 65,780 ways the students can be chosen because the order they are chosen matters. There are 26P5 = 7,893,600 ways the students can be chosen because the order they are chosen matters. There are 26C5 = 65,780 ways the students can be chosen because the order they are chosen does not matter. There are 26P5 = 7,893,600 ways the students can be chosen because the order they are chosen does not matter.

Answers

"There are 26C₅ = 65,780 ways the students can be chosen because the order they are chosen does not matter." is correct statement. Therefore, the answer is option C.

The problem asks us to choose 5 students out of a class of 26 to present homework problems. Since the order in which the students present the problems does not matter, we need to use the combination formula. The combination formula is used to calculate the number of ways to choose a subset of k elements from a set of n elements without regard to order, and it is denoted by nCk.

Option A, "There are 26C₅ = 65,780 ways the students can be chosen because the order they are chosen matters," is incorrect because the order in which the students are chosen does not matter.

Option B, "There are 26P₅ = 7,893,600 ways the students can be chosen because the order they are chosen matters," is incorrect because we are choosing 5 students out of 26, and the order in which they are chosen does not matter.

Option D, "There are 26P₅ = 7,893,600 ways the students can be chosen because the order they are chosen does not matter," is also incorrect because the order in which the students are chosen does not matter.

Therefore, the answer is option C.

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Complete question is:

In a class of 26 students, a teacher chooses a different student to each present five different homework problems. Which statement describes the number of ways the students can be chosen to present the problems?

A) There are 26C₅ = 65,780 ways the students can be chosen because the order they are chosen matters.

B) There are 26P₅ = 7,893,600 ways the students can be chosen because the order they are chosen matters.

C) There are 26C₅ = 65,780 ways the students can be chosen because the order they are chosen does not matter.

D) There are 26P₅ = 7,893,600 ways the students can be chosen because the order they are chosen does not matter.

A local maximum of the function f(x) occurs for which x-value? A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2. Group of answer choices –4 –3 –2 –1

Answers

There is a local maximum at the point (-1,6), therefore, for x = -1

option D is correct

What do we mean by local maximum point?

A local maximum point on a function is  described as a point (x,y) on the graph of the function whose y coordinate is larger than all other y coordinates on the graph at points "close to'' (x,y).

We see  that the function adopts values smaller than 6 to the left of x = -1, and to the right of it:

(-3, -2), (-2, 0) to the left of x = -1 where the function's value is 6

and (0, 0), and (1, -2) to the right of x = -1

Therefore, we can say that the pints  (-1, 6) is a maximum, that is for x = -1, where the function renders a value of 6.

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Suppose that the function g is defined, for all real numbers, as follows.

Answers

The graph of the piecewise function is given by the image presented at the end of the answer.

What is a piece-wise function?

A piece-wise function is a function that has different definitions, depending on the input of the function.

All the three definitions of the function in this problem are constant, hence the graph will be composed by horizontal lines.

The definitions are given as follows:

y = 2 to the left of x = 0.y = -1 at x = 0.y = -3 to the right of x = 0.

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Emma brought $23.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 /4 as much as the sketchbook, and the sketchbook cost 2/ 3 the cost of the paint set. Emma had $4.50 left over after buying these items.

Answers

Emma bought a brush for $1.75, a sketchbook for $7, and a paint set for $10.5.

How to solve for the cost

B = 1/4 * S

S = 2/3 * P

B + S + P = 23.75 - 4.50

Emma spent 23.75 - 4.50 = $19.25 on the brush, sketchbook, and paint set.

Now we have the equation:

B + S + P = 19.25

Substitute the expressions from relationships 1 and 2 into the equation:

(1/4 * S) + S + (3/2 * S) = 19.25

Now combine the terms:

(1/4 * S) + (4/4 * S) + (6/4 * S) = 19.25

(11/4 * S) = 19.25

Now, to solve for S, multiply both sides of the equation by the reciprocal of the fraction (4/11):

S = (4/11) * 19.25

S = 7

The sketchbook cost $7. Now we can find the costs of the brush and the paint set using relationships 1 and 2:

B = 1/4 * S = 1/4 * 7 = 1.75

P = 3/2 * S = 3/2 * 7 = 10.5

Emma bought a brush for $1.75, a sketchbook for $7, and a paint set for $10.5.

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Complete question

Emma brought $23.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 /4 as much as the sketchbook, and the sketchbook cost 2/ 3 the cost of the paint set. Emma had $4.50 left over after buying these items. What is the total cost for each item

For any positive values x and y, f(xy) = f(x) + f(y). f(1/2021) = 1.
Find f(2021).

I will give BRAINLIEST to correct answer.

Answers

If we let x = 1/2021 and y = 2021, we have:

f(1/2021 * 2021) = f(1/2021) + f(2021)

Simplifying the left-hand side gives us:

f(1) = f(1/2021) + f(2021)

Substituting f(1/2021) = 1, we have:

f(1) = 1 + f(2021)

Therefore,

f(2021) = f(1) - 1.

However, we don't know what f(1) is. One way to find it is to let x = y = 1. Then we have:

f(1) = f(1) + f(1),

which implies that f(1) = 0.

Therefore,

f(2021) = f(1) - 1 = -1.

So the answer is -1.

OAB is a minor sector of the circle below.
Calculate the length of the minor arc AB in terms of pi
Not drawn accurately
AWARDING BRAINLIEST TO FIRST ANSWER

Answers

The Length of the arc in the circle shown is calculated to one decimal place, in terms of pi, as approximately 3.6π cm.

How to Calculate the Length of an Arc?

The length of an arc in a given circle can be calculated by applying the formula as expressed below:

Length of arc (s) = ∅/360 * 2πr, where:

Reference angle = ∅

Radius of the circle = r.

Given the parameters:

Radius (r) = 16 cm

Reference angle (∅) = 40 degrees.

Plug in the values:

Length of the arc (s) = 40/360 * 2 * π * 16

Length of the arc (s) = 3.6π cm

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Answer:

To calculate the length of the minor arc AB in terms of pi, you need to know the measure of the central angle that intercepts the arc and the radius of the circle. Do you have that information?

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
-409-8
Click twice to plot each segment.
Click a segment to delete it.
Slope of the Line:
-3 -2 7
10
9
Submit Answer
5
4
7
9
10

Answers

The rise and run of the line is shown in the image below, where: slope of the line (m) = -3/4.

What is the Slope of a Line?

The slope refers to how steep a line is. To find the slope of a line on coordinate plane, find the rise and the run of the line, then find their ratio.

Slope of a line (m) = change in y / change in x = rise / run

The red line in the image below represents the rise of the line while the blue line represents the run of the line.

The rise = 3 units

The run = 4 units

Therefore, we have:

Slope (m) = rise/run = -3 units / 4 units

Slope (m) = -3/4.

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Ocarolyn and Abby
went camping and
caught a total of a fish.
How many fish
weighed 8 1/4 pounds
or less?
XX
XX
X X
x+
XX-
X
8 8
8
8 9
Weight of Fish in Pounds
1

Answers

Based on the given information, it appears that there were 11 fish caught in total. To determine how many of these fish weighed 8 1/4 pounds or less, we need to count the number of X's in the table that fall under the weight category of 8 1/4 pounds or less.

Counting the X's, we see that there are 8 fish that weigh 8 1/4 pounds or less. Therefore, Ocarolyn and Abby caught 8 fish that weighed 8 1/4 pounds or less.
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