What transformation of the parent function f(x) is made to get 4f(x+2)

Answers

Answer 1

Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.

Step-by-step explanation:

       Changes of the parent function can be written, in this case as af(x)(x - k) where a is the stretch factor and k is the movement left or right on the x-axis.

       In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.

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Related Questions

If x^6=60 and w^10=20, what is x^12×w^-10? A. 36, B. 60, C. 180 or D. 360

Answers

Answer:

\( x^{12} w^{-10}\)

And we can find this rewriting the expression in terms of the info given and we got:

\(x^{12} w^{-10} = (x^6)^2 (w^{10})^{-1}\)

And replacing we got:

\(x^{12} w^{-10} = (60)^2 (20)^{-1}= \frac{60^2}{20}= 180\)

And the best option would be:

C. 180

Step-by-step explanation:

For this case we know that:

\( x^6, w^{10} = 20\)

And we want to find the value for:

\( x^{12} w^{-10}\)

And we can find this rewriting the expression in terms of the info given and we got:

\(x^{12} w^{-10} = (x^6)^2 (w^{10})^{-1}\)

And replacing we got:

\(x^{12} w^{-10} = (60)^2 (20)^{-1}= \frac{60^2}{20}= 180\)

And the best option would be:

C. 180

1.) A small container holds 75% as much as a large container.If the small
container holds 36 units, how much does the large hold? Show your work
on either the double number line, the table, or using a tape diagram.

Answers

Answer: The large container holds 48 units

Step-by-step explanation:

36/3=12=25%

25%*4=100%

12*4=48

2. Sets A and B are both relations. Which relation is a function? * A: {(5,-2),(-2,5),(-5,2), (2, -5)} B: {(5,-2,),(-2,5),(5,2), (-5,2)}

Answers

In order to a relation be a function, each value of x in the set of points can have only one corresponding value of y in the set.

For example, a relation with the points (1, 2) and (1, 3) is not a function, because the x-value 1 has two different values of y (2 and 3), and in order to be a function, a value of x can have only one corresponding value of y.

Looking at set A, each value of x (-5, -2, 2 and 5) have only one corresponding value of y, so set A is a function.

Looking at set B, the value of x = 5 has two different values of y (-2 and 2), so this set is not a function.

how do you express 2/7so that It shares a common denominator with 6/35​

Answers

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!



Abby was decorating her room. She arranged 56 picture tiles on a wall in the shape of a rectangle. How many rows of tiles could she have on the wall?

Answers

Answer:

14

Step-by-step explanation:

A rectangle has four sides so all you have to do is 56÷4

Answer:

14

Step-by-step explanation:

I was Slightly confused But with the given information

Divide 56 and 4...

Help meee. Multiply the polynomials.
(3x2 + 3x + 5)(6x + 4)
A. 18x2 + 6x2 + 42x+ 20
B. 18x2 + 30x2 + 42x - 20
C. 18x2 + 30x2 + 2x - 20
D. 18x3 + 30x2 + 42x + 20

Answers

so even just multiplying 3x2 by 6x we know it has to be D because it’s the inly one with 18x3 but i went ahead and worked out the whole problem using the box method

it’s in the attached picture
Help meee. Multiply the polynomials.(3x2 + 3x + 5)(6x + 4)A. 18x2 + 6x2 + 42x+ 20B. 18x2 + 30x2 + 42x

Modeling with Composite Functions

A store is offering a 10% discount on all items. In addition, employees get a 25% discount.

a. Write a composite function to model taking the 10% discount.

b. Write a composite function to model taking the 25% discount first.

c. If you were an employee, which would you prefer or does it matter?

Answers

a. A function to model taking the 10% discount will be 0.9x.

b. A function to model taking the 25% discount first will be 0.75x.

c. If I was an employee, I'll prefer the 25% discount.

How to illustrate the function

From the information given, the store is offering a 10% discount on all items and in addition, employees get a 25% discount.

Let the price of the goods be given as x.

A function to model taking the 10% discount will be:

= x - (10% × x)

= x - 0.1x

= 0.9x

A function to model taking the 25% discount first will be:

x - (25% × x)

= x - 0.25x

= 0.75x

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assuming that the series will continue in the same pattern the next number in the series 3,5,11,29... is

Answers

Notice that

5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}

so a reasonable guess for the next number in the sequence might be 2×3³ = 54.

The sequence might be 2×3^3^3 = 54.

We notice that 5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

What is the geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}

So the next number in the sequence might be 2×3^3 = 54.

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Please help me I wanna get out this class

Please help me I wanna get out this class

Answers

cut a line between the triangle and rectangle
area of rectangle is length x width
8x5=40
area of triangle is base x height divide by 2
5x5=25
25 divide by 2 is 12.5
add them together
40+12.4 = 52.4

John plans to practice piano at least 2 hours this weekend.
If he practices 1 hours on Saturday and 14 hours on Sunday, will he meet his goal?

Answers

Answer:

Yes

Step-by-step explanation:

Yes because 1+14=15 hours and that is more than two

The perimeter of a movie screen is 70 meters it is 23 meters wide how tall is it

Answers

Answer:

height = 12 m

Step-by-step explanation:

We can assume from the problem that the movie screen is rectangular and the formula for perimeter (P) of a rectangle is

P = 2h + 2w, where l is the length and w is the width.

Thus, we can plug in 70 for P and 23 for w and solve for h:

\(70=2h+(2*23)\\70=2h+46\\24=2h\\12=h\)

1/9 x (1/2)^3 (solve please!)

Answers

9514 1404 393

Answer:

  1/72

Step-by-step explanation:

  \(\dfrac{1}{9}\times\left(\dfrac{1}{2}\right)^3=\dfrac{1}{9}\times\dfrac{1}{8}=\boxed{\dfrac{1}{72}}\)

Identify the next number in the following sequence

25 49 97 ?

Select only one answer

- 124
- 171
- 139
- 193

Answers

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Find the missing length, X.
Find the missing length

X= [ ] in

Find the missing length, X.Find the missing lengthX= [ ] in

Answers

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

\(\frac{33}{11}=\frac{24}{x}\)

Cross multiply,

33*x = 24 * 11

\(x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in\)

Find all points on the​ x-axis that are 16 units from the point (5,-8)

Answers

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Find the indefinite integral by using appropriate substitutions. (Use C for the constant of integration.) ∫In(cos(x)) tan(x) dx

Answers

Refer to the photo taken. Please rate :)

Find the indefinite integral by using appropriate substitutions. (Use C for the constant of integration.)

(-3)(a +x), if a =8, x = -10

Answers

Answer:

6

Step-by-step explanation:

a =8

x = -10

(-3)(a +x)

(-3)(8 - 10)

(-3)(-2)

6

smerelda simplified a complex fraction. Her work is shown below.


Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4


What errors did Esmerelda make? Select three options.

Esmerelda converted the mixed number to the wrong improper fraction.

Esmerelda added the numerators.

Esmerelda added the denominators.

Esmerelda did not divide –24 by 6 correctly.

Esmerelda did not use the reciprocal of the divisor.

Answers

Answer:

Step-by-step explanation:

ACTUAL ANSWER

(-5¼)/(3/2)

= -{(20+1)/4}/(3/2) //CONVERTING INTO IMPROPER FRACTION

= (-21/4)/(3/2)

= (-21/4) x (2/3) // MULTIPLYING BY RECIPROCAL

 = (-21x2)/(4x3)

= -42/12

= -(7x6)/(2x6) TAKING 7 AS COMMON FACTOR

= -7/2

STEPS FOLLOWED BY ESMERELDA

(-5¼)/(3/2)

= -{(20+1)/4}/(3/2)

= -(21/4)/(3/2)

= -(21/4) x (3/2)

= -(21+3)/(4+2)

= - (24/6)

= -4

HENCE THE ERRORS COMMITTED BY HER ARE:-

1. ESMERALDA ADDED THE NUMERATORS

2. ESMERALDA ADDED THE DENOMINATORS

3. ESMERALDA DID NOT USE THE RECIPROCAL OF THE DIVISOE

You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?​

You construct a picture frame with a diagonal piece attached to the back for support, as shown below.

Answers

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

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What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5​

Answers

Answer:

5

Step-by-step explanation:

(because when two negative meets it gives u positive )

A soft drink company calls 500 people at random and asks, “Isn’t it true that our product is better than our rival’s product?” and 75% of the people respond, “Yes.” Is this an example of bias? Explain.

Answers

Yes, this is an example of bias, specifically, response bias.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

Response bias occurs when the answers given by respondents in a survey do not accurately reflect their true opinions or beliefs. In this case, the question asked by the soft drink company is leading and suggestive, and it suggests that the company's product is superior to its rival's product. By framing the question in this way, the soft drink company is more likely to receive a positive response from respondents, even if they do not actually believe that the company's product is better than its rival's product.

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Look at the following numbers:
-7, 0, 7, 14
Which pair of numbers has a sum of 0?
O 0,7
O-7,7
07, 14
O-7, 14

Answers

The answer is B: -7, 7
Yeahhhhb the answer is b

Find a. the amount of mark-up and b. the list price: The Auto Resale Store bought Pablo’s Toyota for $8,500. The store marked the price up 35%.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $8,500

Mark-up percentage= 35%

First, we need to calculate the list price:

list price= selling price / (1 +  Mark-up percentage)

list price= 8,500 / 1.35

list price=  $6,296.3

Now, the mark-up:

Mark-up= selling price - list price

Mark-up= 8,500 - 6,296.3

Mark-up= $2,203.7

The zeros of a quadratic function are 2 and 6. What is the equation of the axis of symmetry of this
function's graph?

Answers

Answer:

The equation of the axis of symmetry of this quadratic graph is x = 4.

Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.

Answers

Answer:

no clue..................................

find the square root of 7

Answers

The value of the square root of 7 is,

⇒ √7 = 2.645

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence

Answers

The crime that is often alcohol related is domestic violence. That is option D.

What is domestic violence?

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

History of violent victimization.

Attention deficits, hyperactivity, or learning disorders.

History of early aggressive behavior.

Involvement with drugs, alcohol, or tobacco

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below

Consider the polynomial (4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)Combine all like terms and

Answers

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.

Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.

Answers

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines

Answers

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

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