Determina en cada caso, si la función corresponde a una función lineal o a una función afín. a. Y = -5x b. Y = -3x – 2 c. Y = 2x + 4 d. Y = 1x/4 – 2

Answers

Answer 1

Answer:

Sabemos que una función lineal es de la forma:

f(x) = m*x

Mientras que una funcion afin es de la forma:

g(x) = m*x + n

Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).

a) y = -5*x

No tenemos término constante, entonces es una función lineal.

b) y = -3*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

c) y = 2*x + 4

Acá tenemos un término constante igual a 4, entonces esto es una función afín.

d) y = (1/4)*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.


Related Questions

Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of % in hr

Answers

The expression when Buffalo New York had 2ft of snow on the ground before a snowstorm is 2 - 0.25h.

How to illustrate the expression?

From the information, Buffalo New York had 2ft of snow and we want to find the. expression based on the information given.

An expression have at least two terms which have to be related by through an operator.

Since Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. The expression will be:

2 - (25% × h)

= 2 - 0.25h

h = number of hours.

The expression is 2 - 0.25h.

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Complete question

Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. Illustrate the expression

HELP!! Find the value of… (picture)

Answers

Answer:

C. 94

Step-by-step explanation:

|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]

OR

det(A) = aei - afh - bdi + bfg + cdh - ceg

|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]

det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex]  - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]

OR

det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)

det(A) = 94

Can you Please help me

Answers

Answer: 290 yd^2

Step-by-step explanation:

Tip: split the shapes into areas that are easier to compute

Rectangle 1 = bh = 10yd x 28 yd = 280 yd^2

Rectangle 2 = bh = 2yd x (10-5)yd = 10 yd^2

280 yd^2 + 10 yd^2 = 290 yd^2

Water boils at 100 ° C 100°C100, degree, start text, C, end text. This is 400 % 400%400, percent more than my room's temperature.

Answers

Answer:

The temperature of the room is 25 degree Celsius

Step-by-step explanation:

The complete question is

Water boils at 100 ° C. This is 400 % percent more than my room's temperature. What is the temperature of room

Solution

Temperature at which water boils is 100 degree Celsius

Temperature of room is 400 % of X

[tex]100 = \frac{400}{100} * X\\100 = 4 * X\\X = \frac{100}{4} = 25[/tex]

Hence, the temperature of the room is 25 degree Celsius

Solve for x and show work. Round to the tenths place.

Answers

This is your answer!

Is Avogadro's number equal to one mole?

Answers

One mole consists of 6.02214076×10²³ units which is Avogadro's number. Thus one mole is known as Avogadro's number.

What is one mole?

A mole is 6.02214076×10²³ of any chemical unit, including atoms, molecules, ions, and others. Due to the large number of atoms, molecules, or other components that make up any substance, the mole is a useful measure to utilize. The mole was initially defined as the quantity of atoms contained in 12 grammes of carbon-12, but the General Conference on Weights and Measures declared in 2018 that the mole will only contain 6.02214076×10²³ of some chemical unit as of May 20, 2019.

In chemistry, a mole, sometimes spelled mol, is a common scientific measurement unit for significant amounts of very small objects like atoms, molecules, or other predetermined particles.

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What is the volume of this Rectangular Prism?

Answers

3.75 cm^3 because the formula for volume is l x w x h. So 2.5 x 1 x 1.5

Given the line y = − 2 5 x + 3, determine if the given line is parallel, perpendicular, or neither. Select the correct answer for each lettered part. A. y = 2 5 x + 7 A Parallel B Perpendicular C Neither B. 5y + 2x = −10 A Parallel B Perpendicular C Neither C. −5x + 2y = 4 A Parallel B Perpendicular C Neither

Answers

Answer:

(a) Neither

(a) Perpemdicular

Step-by-step explanation:

Required

Determine the relationship between given lines

(a)

[tex]y = -\frac{2}{5}x + 3[/tex]

and

[tex]y = \frac{2}{5}x + 7[/tex]

An equation written in form: [tex]y=mx + b[/tex] has the slope:

[tex]m \to slope[/tex]

So, in both equations:

[tex]m_1 = -\frac{2}{5}[/tex]

[tex]m_2 = \frac{2}{5}[/tex]

For both lines to be parallel

[tex]m_1 = m_2[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} \ne \frac{2}{5}[/tex]

For both lines to be perpendicular

[tex]m_1 * m_2 = -1[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} * \frac{2}{5} \ne -1[/tex]

(b)

[tex]5y + 2x = -10[/tex]

and

[tex]-5x + 2y = 4[/tex]

Write equations in form: [tex]y=mx + b[/tex]

[tex]5y + 2x = -10[/tex]

[tex]5y = -2x +10[/tex]

Divide by 5

[tex]y = -\frac{2}{5}x +2[/tex]

[tex]-5x + 2y = 4[/tex]

[tex]2y = 5x + 4[/tex]

Divide by 2

[tex]y = \frac{5}{2}x + 2[/tex]

In both equations:

[tex]m_1 = -\frac{2}{5}[/tex]

[tex]m_2 = \frac{5}{2}[/tex]

For both lines to be parallel

[tex]m_1 = m_2[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} \ne \frac{5}{2}[/tex]

For both lines to be perpendicular

[tex]m_1 * m_2 = -1[/tex]

This is true in this case, because:

[tex]-\frac{2}{5} * \frac{5}{2} = -1[/tex]

Cancel out 2 and 5

[tex]-1 = -1[/tex]



PLEASE HELP ILL MARK BRAINLIEST!!!


























Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the
vertices of the rectangle are located at (2, 1), (2,4), and (-4,4).
a. What are the coordinates of the fourth vertex of the rectangle?
b. What are the dimensions of the rectangle?
c. What is the area of the rectangle?



Answers

Answer:

Step-by-step explanation:

the two diagonals of a rectangle have the same middle point

middle point

x = (2-4)/2 = -1

y = (1+4)/2 = 5/2

The diagonal BD must have the same middle point, so we can find vertex D in this way

(x +2)/2 = -1

x+2 = -2

x = -4

(y+4)/2 = 5/2

y+4 = 5

y = 1

fourth vertex :  (-4, 1)

2) for find the first dimension we can use this formula

|y2 - y1| = |4-1| = 3

for find the second we can use this one:

|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)

3)

A = dimension 1 x dimension 2 =  3 x 6 = 18

Answer:they for it right

Step-by-step explanation:

....

What is == and === in Python?

Answers

The == operator determines if two operands are equivalent in terms of value. The === operator determines if two operands are equivalent in terms of value and datatype.

The assignment operator = is straightforward. The left side operand receives values from the right side operands.

On the other hand, == determines whether or not the values of two operands are equal.

The Python is operator determines if two variables point to the same memory item as opposed to the == operator, which compares the value or equality of two objects. This implies that you should almost always employ the equality operators == and != Difference between == and = in Python.

A single equal sign is used to assign a value to a variable in Python and many other programming languages, whereas two successive equal signs are used to determine if two expressions provide the same result.

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I will mark you brainlist!

Answers

1: answer is 28% of her money
2: 16% was spent on her money
3: $24
4: $45
5: $39 dollars more
6: $128 was NOT spent on movies
(Does these answers work? If so I can explain! And can you please mark me brain list please!!)

Why is the sum of three consecutive even integers always a multiple of 3

Answers

Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6 = 108.

Evaluate the function.
ƒ(x) = 2x + 1
f(x) = 7

Answers

Answer:

Read below

Step-by-step explanation:

Step 1: Multiply 2 by x: 2x

Step 2: Add 1 to 2x: 2x + 1

Step 3: Substitute x with 7: 2(7) + 1

Step 4: Multiply 2 by 7: 14 + 1

Step 5: Add 1 to 14: 14 + 1 = 15

Allison is comparing prices of different cell phones. She made a dot plot to show the prices. How can she find the most common price?

Answers

Answer:

The answer is "Find the tallest stack of dots".

Step-by-step explanation:

In this question, we assume that the prices of the plot area on the X (horizontal), and the Y (Vertical) axis are on the cell phone. This price is 90 dollars. Whenever the price is X1, she sets a dot there. When brand X2 is that price also, it places a coordinate point ($90, X2) well above point on either brand at the same price. Therefore, the bigger pile of teams overall that the rates are more mobile phones.

What is 5 1/4 as a single fraction greater than 1

Answers

Answer:

21/4

Step-by-step explanation:

(5 * 4) + 1

20 + 1

21/4

Here are the first 4 terms of a sequence.
85 81 77 73
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.

Answers

Answer:

a) (i) Next term = 69a) (ii) Subtract 4 from each term to get the next term. For example, 85-4 = 81 and 81-4 = 77, and so on.b) The 10th term is 49 The work for part (b) is shown in the next section below.

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

a1 = 85 = first term

d = -4 = common difference

an = a1 + d(n-1)

an = 85 - 4(n-1)

an = 85 - 4n + 4

an = -4n+89

a10 = -4*10+89

a10 = 49 is the tenth term

Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.​

Answers

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Trina is the age of her grandfather, less 5 years. Their combined age is 95 years. How old is Trina? How old is her grandfather?​

Answers

Answer:

Trina is 45 years old.

Her grandfather is 50 years old.

Step-by-step explanation:

Trina is 5 years younger than grandfather, therefore:

45+50 = 95

Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.

5(x - 10)

Answer here _________

Answers

The value of the expression using the distributive property is 5x + 50.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5 (x - 10)

The distributive property of multiplication over addition states that,

a x (b +  c) = a x b + a x c

Now,

5 (x - 10)

= 5x + 5 x 10

= 5x + 50

Thus,

The expresssion is 5x + 10

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Please help I’ll give brainliest!!!!
What is a minimum of 3 examples of polynomials?

Answers

Answer:

4x + 3

10x² - 7x + 3

18x² - x + 5

Step-by-step explanation:

A polynomial must consist of 2 terms, one with a variable ( x ) and one as a constant ( any number )

An example of a number with a variable is 4x

An example of a constant is 3

add the two together 4x + 3 and you get a polynomial

More examples are 5x + 9 or -2x - 8

Polynomials can have more than 2 terms. ( the third term has an exponent and variable )

An example of a polynomial with more than 2 terms  is 10x² - 7x + 3

The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?

Answers

Answer:

3.844 x 10 to the power of 5 is the answer i think

Step-by-step explanation:

Answer:

If the other person is correct then it should be 3.844 x 10^5 and 3.844E5 as well

Step-by-step explanation:

to simplify the expression 3+5×3-8÷4​

Answers

Answer:

f) 5x 3

Step-by-step explanation:

You do multiplication first

Hi!
ik -2x+9 is x=4.5 so are the number 4.5 apart and if so what do i do after that

Answers

The function y = -2x + 9 have ordered pairs (-4, 17), (-2, 13), (0, 9), (2, 5) and (4, 1)

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that:

y = -2x + 9

When x = -2; y = -2(-2) + 9 = 13

When x = 0; y = -2(0) + 9 = 9

When x = 2; y = -2(2) + 9 = 5

When x = 4; y = -2(4) + 9 = 1

The function y = -2x + 9 is a linear equation

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Find the ratio of the volume of the cone to the volume of the cylinder. Express your answer as a common fraction.

Answers

The ratio of the volume of the cone to the cylinder is 1:3.

A cone has a circular base and the base is made of a radius and diameter.

The volume of a cone is defined as the amount of space a cone occupies. The formula of the volume of a cone is given as one-third the product of the area of the circular base and the height of the cone. If the radius of the cone is "r" and the height is "h", the volume of a cone is given as V = (1/3)πr²h.

A cylinder is a three-dimensional solid shape that makes of two parallel bases linked by a curved surface.

Thus, the volume (V1) of a right circular cylinder, using the above formula, is,

                   V1=  πr²h

Here,

'r' is the radius of the cylinder

'h' is the height of the cylinder

π is a constant whose value is 22/7.

The ratio of the volume of the cone to the cylinder is

=  (1/3)πr²h :  πr²h

= 1 : 3

So, the ratio is - 1:3.

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In a​ poll, 411 students voted. Nominee C received 2 3 of the votes. How many votes did Nominee C ​receive?

Answers

Answer: 274 votes

Step-by-step explanation:

Since we are informed that in a a​ poll that 411 students voted and Nominee C received ⅔ of the votes.

Therefore, the number of votes that Nominee C ​received will be:

= ⅔ × 411

= 274

Therefore, Nominee C got 274 votes

heyy! i’ll give brainliest please help

Answers

Answer:

d. Atlantic Ocean

Answer:

Atlantic Ocean

Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3
per pound and apples are $4 per pound. Jacqueline’s mother gave her $20 to spend. To
determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3 + 4 ≤ 20.

1. Define the variables Jacqueline used based on the context.
Let represent _______________________________________________.
Let represent _______________________________________________.
2. Explain why the inequality sign ≤ makes sense in this context.
3. Graph the inequality 3 + 4 ≤20.

4.The ordered pair (3, −4) is a solution to the inequality 3 + 4 ≤ 20.

Explain why
this is not a viable solution in the context of buying grapes and apples.

5. The ordered pair (4, 2) is a point on the boundary line. Explain what the ordered
pair represents in the situation.

Answers

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

What is inequality, exactly?

An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.

Here,

Given :  3x + 4y ≤ 20.

where x is the no of apples

and y is the no of grapes

Thus,

Part a:

where x is the no of apples

and y is the no of grapes

Part b:

Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.

Part c: ordered pair (3, −4)

Thus,

putting in the inequality we find:

=> 3(-3)+ 4(-4)

=> -6 -16

=> -22

Thus , it is not a solution for inequality.

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

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Please help!!! This is WAY overdue and I need to submit it by tonight or it won't be accepted!!!!

Answers

Answer:

D

Step-by-step explanation:

It's the most logical of them all, it can't be A, it wouldn't make sense if it's C, and for D it says 6 if -5<x<-1 and it has the little line on 6 for y, it sounds a little complicated but that's my logic

What is the length of EH

Answers

Answer:

It could be 3x - 3

Step-by-step explanation:

What is numerical coefficient in 3xy?

Answers

The numerical coefficient in 3xy is 3.

In algebraic expressions, terms are made up of coefficients and variables. A coefficient is a numerical value that multiplies a variable or a set of variables. In the term 3xy, the numerical coefficient is the number that appears in front of the variable (x and y) and it's 3 in this case.

It is used to indicate the degree of the term or the number of times the variable is present in the term. In this case, it is indicating that the variable x and y are present three times in the term.

It's important to note that if there is no coefficient before the variable, it is assumed to be 1. It's also noteworthy that the coefficient can be a whole number, a fraction, or even a variable, but in this case it is a whole number. Understanding the concept of coefficient is very important in understanding algebraic equations and expressions.

The numerical coefficient in 3xy is 3.

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