f: A → B, f(x) = (x−2)/3 and B=[-1;2); A=?

A) [-1;4)

B) [-2;3)

C) [-1;8)

D) (-4;1]

Answers

Answer 1

Step-by-step explanation:

so, we need to find the x values (A) that create the defined result values (f(x)) of B.

so, when taking the lower interval limit of B as the first f(x), we get

-1 = (x-2)/3

-3 = x - 2

-1 = x

so, the lower interval limit for A is also -1.

-1 as input value for the function delivers also -1 as functional result.

now for the upper limit :

2 = (x-2)/3

6 = x - 2

8 = x

so, the upper interval limit for A is 8.

and since the limit is excluded for B, it is also excluded for A.

so, C) is the correct answer.


Related Questions

11-4 skills practice areas of regular polygons and composite figures answers

Answers

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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PLEASE HELP!! this is due today! I will mark the brainliest!
A, B, C or D
(Graph and question are attached)

PLEASE HELP!! this is due today! I will mark the brainliest! A, B, C or D(Graph and question are attached)
PLEASE HELP!! this is due today! I will mark the brainliest! A, B, C or D(Graph and question are attached)

Answers

Answer:

the answer is C

Step-by-step explanation:

Question 1 Professor Plum is putting a brick border around his irregular shaped garden. Before installing the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given measures to answer the question.


What are the angle measures of each vertex of the garden? Show your work.


question 2 ⦁ In Parallelogram , diagonals and intersect at point A. Give and. What is ? Show your work.


question 3 ⦁ Quadrilateral ABCD has vertices at. Based on the properties of the diagonals, is quadrilateral ABCD a rectangle, rhombus, or square? Use the distance and slope formulas to prove your conclusion. Show your work

Answers

The angle measures of each vertex of the garden are 53.13 degrees.

In Parallelogram ABCD, diagonals AC and BD intersect at point A = √7.

What is angle?

Angle is a geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360°.

1. To determine the angle measures of each vertex of the garden, we must first calculate the angles formed by each side. For example, the angle formed by sides AB and BC can be found by using the inverse tangent function. The equation would be

arctan(BC/AB) = arctan (4/3) = 53.13 degrees.

The angles for the other sides can be calculated in the same way. We can then use the sum of angles theorem to calculate the angles at each vertex. Since the garden is an irregular shape, the angles at each vertex will be different.

2. In Parallelogram ABCD, diagonals AC and BD intersect at point A. To calculate , we can use the distance formula.

The equation would be = √((x2 – x1)2 + (y2 – y1)2).

For the coordinates given, we would have

= √((2 – 5)2 + (5 – 1)2)

= √(-9 + 16)

= √7.

Answer 3: To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we must first calculate the slope.

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Angelica has 15 comic books, and each
month she buys 3 more comic books.
Write an equation representing the
number of comic books c she has at the
end of any month m?

Answers

Answer:

15 + 3m = c i think is suitable

The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor

Answers

Answer:

346

Step-by-step explanation:

i think

A garden has an area of 20 square feet. of the following choices, which is the smallest possible perimeter of the garden?

Answers

Answer:

the garden is approx 18 feet.

Step-by-step explanation:

A garden has an area of 20 square feet. of the following choices, which is the smallest possible perimeter of the garden?

entlying
A and B are forces acting on a falling object. Which
force, A or B, represents gravity in the diagram?
Force
is gravity because it attracts the ball
to the ground.

entlyingA and B are forces acting on a falling object. Whichforce, A or B, represents gravity in the

Answers

Answer:

B... Because indicates the direction of gravity because its direction is downward

Answer:b

Step-by-step explanation:

PLEASE HLEP I BEG ILL MARK BRANILYEST

PLEASE HLEP I BEG ILL MARK BRANILYEST

Answers

Based on Mickey's work, QUAD is a rectangle because the opposites sides are parallel and the angles formed are right angles (perpendicular).

What is a rectangle?

In Mathematics and Geometry, a rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles that are formed are right angles.

In any rectangle, each of the two (2) opposite sides are equal and parallel and the two (2) diagonals are equal.

Based on the information provided about Mickey's work, we have the following:

Diagonal AD = Diagonal QU = √20 units.

Diagonal DQ = Diagonal UA = √5 units.

Slope of QU × Slope of UA = 2 × (-1/2) = -1.

Slope of AD × Slope of DQ = 2 × (-1/2) = -1.

In conclusion, we can logically deduce that sides QU and AD is perpendicular to sides UA and DQ respectively.

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Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros of − 2 , − 4 , 3 , and 3

Answers

The factored form of the polynomial function with real coefficients are:

x⁴ - x³ + 2x² - 28x + 24

Given the  real coefficients, a lead coefficient of 1, and zeros of − 2 , − 4 , 3 , and 3.

⇒ Zeros:  x = -3, -1, 1, 2

⇒ (x + 3)(x + 1)(x - 1)(x - 2)

Multiply the factors.

⇒(x² + 4x + 4)(x - 1)(x - 2)

open the brackets.

⇒ (x² + 4x + 4)(x² - 3x + 2)

⇒ x⁴ + 4x³ + 12x² - 3x³ - 12x² - 36x + 2x² + 8x + 24

Arrange the variables according to the powers.

⇒  x⁴ - x³ + 2x² - 28x + 24

Hence we get the factored form of the polynomial function as:

x⁴ - x³ + 2x² - 28x + 24

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Write the equation in standard form of the line that has x-intercept 9 and y-intercept -9

Answers

\(\stackrel{ x-intercept }{(\stackrel{x_1}{9}~,~\stackrel{y_1}{0})}\qquad \stackrel{ y-intercept }{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-9})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-9}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{9}}} \implies \cfrac{ -9 }{ -9 } \implies \cfrac{1}{1}\implies 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ 1}(x-\stackrel{x_1}{9})\implies {\Large \begin{array}{llll} y=x-9 \end{array}}\)

If x > 10, what is the smallest integer value x can have?Smallest integer value=

Answers

Given:

\(x>10\)

To find:

The smallest integer value x can have.

Explanation:

Let us write the solution set first.

The solution set for the given inequality is,

\(x=\lbrace11,12,13,14,......\rbrace\)

From the set,

We observe that the smallest integer value is 11.

Final answer:

The smallest integer value is 11.

What is the equation of the line perpendicular to y=-1/5x -2 and contains the point (2, -10)?

Answers

Answer:

y= 5x-20

Step-by-step explanation:

I didn't understand if I had to find the perpendicular line or parallel haha.

You’re welcome :)

Answer:

y = 5x -20

Step-by-step explanation:

for the line to be perpendicular it must have the inverse slope

therefore m = 5

no substitute the point (2, -10) in for (x, y) respectively to find the y intercept

-10 = 5(2) + b

-10 = 10 + b

b = -20

the equation will be y = 5x -20

if the radius of the wheel is 21 cm what is the distance traveled by the wheel in 3 revolution​

Answers

Answer:

  396 cm

Step-by-step explanation:

You want the distance traveled by a wheel of radius 21 cm in 3 revolutions.

Circumference

The circumference of the wheel is ...

  C = 2πr

  C = 2π(21 cm) = 42π cm

Revolutions

In 3 revolutions of the wheel, it travels 3 times that distance, or ...

  3(42π cm) = 126π cm ≈ 396 cm

The distance traveled is about 396 cm.

__

Additional comment

The value shown is rounded to the nearest centimeter. The attachment shows the value to higher precision, for the usual approximations of pi.

<95141404393>

if the radius of the wheel is 21 cm what is the distance traveled by the wheel in 3 revolution

Find the equation of the line specified.
The line passes through the points ( -2, 3) and ( -4, 7)
a.
y = -2x - 1
c.
y = -4x - 1
b.
y = -2x + 3
d.
y = -2x + 7


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

Over 4 hours, the temperature in Miami, Florida, rose 8ºF.

How many degrees, on average, did the temperature rise per hour?

Answers

It would rise 0.5 per hour

There are 20 triangles and 4 circles. What is the simplest ratio of circles to total shapes?
PLS HURRY HELP

Answers

Answer:

Im pretty sure its 5

Step-by-step explanation:

5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.

Answer:

5 triangles to 4 circles.

scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6 . what was wayne’s actual act score?

Answers

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?

Answers

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

A sales assistant is paid a basic wage of $125 per week. In addition, she is paid a commission of 2.5% on the value of goods she sells. How much commission will she be paid on sales amounting to $1,476 and what is her gross wage for that week?

Answers

Answer:

$161.9

Step-by-step explanation:

Ur welcome :)

What do these (>, ≥, <, ≤) mean

Answers

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales estimates, on a new product. Analyze the data they give you, shown below, determine what it will take to break even, and decide whether to go ahead with production of the new product. Cost is C(x) = 135x + 55, 620 and revenue is R(x) = 180x; no more than 2097 units can be sold. The break-even quantity is _____ units, which is than the number of units that can be sold, so the firm produce the product because it would money.

Answers

Answer: To determine the break-even quantity, we need to find the point where the revenue equals the cost. In other words, we need to solve the equation R(x) = C(x).

Given:

Cost function: C(x) = 135x + 55,620Revenue function: R(x) = 180xMaximum units that can be sold: 2097

Setting R(x) = C(x), we have:

180x = 135x + 55,620

Subtracting 135x from both sides of the equation:

180x - 135x = 55,620

Simplifying the left side:

45x = 55,620

Dividing both sides by 45:

x = 1,236

The break-even quantity is 1,236 units.

Since the break-even quantity (1,236 units) is less than the maximum number of units that can be sold (2,097 units), the firm can produce the product because it would make money.

To determine the break-even quantity and decide whether to proceed with the production of the new product, we need to analyze the cost and revenue data provided.

The cost function is given as C(x) = 135x + 55,620, where x represents the quantity of units produced. The revenue function is given as R(x) = 180x. To break even, the total cost and total revenue should be equal. We can set up an equation based on this condition: C(x) = R(x). Substituting the given cost and revenue functions: 135x + 55,620 = 180x

To solve for x, we can subtract 135x from both sides: 55,620 = 45x. Now, divide both sides by 45: x = 1,236. The break-even quantity is 1,236 units.

Since the number of units that can be sold is no more than 2,097 units, which is greater than the break-even quantity of 1,236 units, the firm can produce the product. The break-even point indicates the minimum number of units that need to be sold to cover the costs, and since the firm can sell more than the break-even quantity, it has the potential to make a profit. However, further analysis of other factors such as market demand, competition, and potential profitability should also be considered before making a final decision.

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SOMEONE PLZ HELP ME T_T

SOMEONE PLZ HELP ME T_T

Answers

Answer:

7x - 1

Step-by-step explanation:

Whole rectangle:

Length = x + 5

Width = x - 1

Area of the whole triangle = length × width

= (x + 5) (x - 1)

= x² - x + 5x - 5

= x² + 4x - 5

Unshaded rectangle:

Length = x + 1

Width = x - 4

Area of the unshaded rectangle = length × width

= (x + 1) (x - 4)

= x² - 4x + x - 4

= x² - 3x - 4

Area of the shaded region = Area of the whole rectangle - Area of the unshaded rectangle

= (x² + 4x - 5) - (x² - 3x - 4)

= x² + 4x - 5 - x² + 3x + 4

= 7x - 1

Area of the shaded region = 7x - 1

Un mes Rodrigo alquiló 2 películas y 3 juegos de video con un costo total de $230.50. El próximo mes él alquiló 4 películas y 8 juegos de video con un costo total de $580.00. Hallar el costo de alquiler de cada película y de cada juego de video.

Answers

Answer:

El costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Step-by-step explanation:

A partir de la información proporcionada, puedes escribir las siguientes ecuaciones:

4x+8y=580 (1)

2x+3y=230.50 (2), donde:

"x" es el costo de alquiler de cada película y "y" es el costo de alquiler de cada juego de video.

Primero, puedes despejar x en (1):

4x=580-8y

x=145-2y (3)

Segundo, debes reemplazar (3) en (2):

2(145-2y)+3y=230.50

290-4y+3y=230.50

290-230.50=4y-3y

y=59.50

Tercero, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=145-2(59.50)

x145-119

x=26

De acuerdo a esto, la respuesta es que el costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Find the missing length of the right triangle.
C = ?
B = 8
A = 6​

Answers

Answer:

10

Step-by-step explanation:

64 + 36 = c^2

Answer:

just use the pythagorean theorem.

c^2=a^2+b^2

substitute them.

c^2=64+36

c=root100

that is equal to 10

therefore missing side of triangle is 10

Mark has a $100 gift card to buy apps for his
smartphone. Each week, he buys one new
app for $4.99

Answers

Answer:

20.04 is the answer lllaldjcnejchwh

An equation represent the given scenario is 4.99x=100.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Mark has a $100 gift card to buy apps for his smartphone.

Let the number of weeks be x.

Now, 4.99x=100

Therefore, an equation is 4.99x=100.

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"Your question is incomplete, probably the complete question/missing part is:"

Mark has $100 gift card to buy apps for his smartphone. Each week, he buys one new app for $4.99. Write an equation that relates.

7(8+a)=189 please help and give me step by step ​

Answers

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

Well, we can use the distributive property:
56 + 7a = 189
7a = 133
a = 19

How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1

Answers

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

How many F ratios in a 2x2 Factorial Design?

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Sipho has a R7 500 that he wants to invest over 7 years. 20,25% per annum simple interest A-P(1+in)​

Answers

The total worth of Sipho's investment after 7 years is R18,131.25.

What is the accrued amount after 7 years?

The accrued amount for a simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amunt, P is principal, r is interest rate and t is time.

Given the data in the question;

Principal P = R7,500Time t = 7 yearsInterest rate R = 20.25%Accrued amount A = ?

First, we convert R percent to r a decimal

r = R/100

r = 20.25%

r = 20.25/100

r = 0.2025 per year

Plug the given values into the above formula and solve for accrued amount A.

A = P( 1 + rt )

A = R7,500( 1 + ( 0.2025 × 7 ) )

A = R7,500( 1 + 1.4175 )

A = R7,500( 2.4175 )

A = R18,131.25

Therefore, the accrued amount after 7 years is R18,131.25.

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Math question is in the picture please help

Math question is in the picture please help

Answers

I think it’s 5, -9
:::::

total u.s. land area is 3.537 million square miles. what percentage of u.s. land is national park system land ?

Answers

The percentage of u.s. land is national park system land is approximately 41.8%

Percentage

Convert acres to square miles

945,000,000 acres = 1476562.5 square miles

Percentage of u.s. land is national park system land = national park system land / Total U.S. land area × 100

= 1476562.5 square miles / 3,537,000 square miles × 100

= 0.417461832061068 × 100

= 41.74618320610687%

Approximately,

41.8%

Therefore, the percentage of u.s. land is national park system land is approximately 41.8%

Complete question:

Total U.S. land area is 3.537 million square miles. Total U.S. national park system land occupies 954 million acres. What percentage of U.S. national park system land?

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