Which function is a translation of the parent absolute value function?
f(x) = 2x1
f(x) = |x+6| f(x)=|x| f(x)=-4|x|

Answers

Answer 1
15 + 36 greater-than 41, so the side lengths will form a triangle.

15 + 36 not-equals 41, so those lengths will not form a triangle.

15 squared + 36 squared = 1,521

41 squared = 1,681

Since a squared + b squared not-equals c squared, it will not be a right triangle.

15 squared + 36 squared = 297

41 squared = 82

Step-by-step explanation; did it on the website euphoria

Answer 2

The translation of the parent function is f ( x ) = | x + 6 | which is shifted 6 units to the left

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the transformation of the function be a translation , where

The parent function is f ( x ) = | x |

And , the translated function is f ( x ) = | x + 6 |

So , original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

And , the function is translated 6 units to the left

Hence , the translated function is f ( x ) = | x + 6 |

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Related Questions

Given the inequalities y < 4 x - 6 and y < X - 6 graphed on the same coordinat
grid, which of the following coordinates gives a true statement?
A. (6,-2)
B. (-4,-2)
C. (-6,-2)
D. None of the above

Answers

The correct answer is d

Find the equation of the line that has a slope of 7 and a y intercept of -10. Write you answer in the form of y = mx + b

Answers

Answer:

Step-by-step explanation:

y = mx + b is the slope-intercept form of a line where m is the number value of the slope and b is the number value of the y-intercept. Our slope is given as 7, therefore, m = 7 in our equation. Our y-intercept is given as -10; thus, b = -10. Filling that in gives us y = 7x - 10

Answer: y=7x-10

Step 1: Rewrite information

y=mx+b
Slope of 7
Y intercept of -10

Step 2: Understand each component

To properly solve this equation, it helps to understand each part of the equation.
Y- Answer
M- Slope
X- Variable
B- Y intercept

Step 3: Substitute numbers

Using the information from step 2, substitute each number in the correct part.

y=7x+ -10

Step 4: Final equation

The equation y=7x+ -10 is almost correct, except that we cannot have a + and - sign next to each other. The equation will hav the same meaning if we were to remove the plus sign.

y=7x-10 is the final answer!

Hope this helps :)

which values are solutions to the inequality below? Check all that apply. √x <7
A. -15
B. 48
C. 14
D. 2
E.51
F. No Solutions

Answers

Answer:

B,C,D

Step-by-step explanation:

Square both sides of the equation to get rid of the square root surrounding x.

sqrtX^2 = x and 7^2 = 7*7 = 49

x<49

And since we have a radical, we have to have non-negative solutions (the radical used in the equation actually only means the positive square root) meaning x>0

So which one of the choices is less than 49 and greater than 0?

B,C, and D are all less than 49, and greater than 0

hi will you assit me please? God bless you for helping students ​

Answers

I am not too sure, but I believe that it is C) Acute

Consider the following graph:

What is the limit as it is approaching -1 from the right, what is the limit?

Answers

Answer:

The limit is 0, and the answer is given by option E.

Step-by-step explanation:

Limit to the right:

The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.

In this question:

Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.

Which of the following is true regarding the sequence graphed below?
an
35
30
25
• (5, 25)
20
15-
• (4. 16)
10 -
• (3,9)
5
• (2, 4)
1 2 3
4
5 6
7 8
9
n
The sequence is arithmetic because the terms have a common difference.
O The sequence is arithmetic because the terms do not have a common difference

Answers

Answer:

I think the answer is the sequence is arithmetic because the term have a common difference

The correct option is The sequence is not arithmetic because the terms do not have a common difference.

What is an arithmetic sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.

Given is graph, we need to conclude the true about the graph,

Finding the common difference,

4-1 = 3    

9-4 = 5

16-9 = 7

25-16 = 9

Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:

y=f(n)=n² where n=1,2,3,4,5,.....

That mean, the following sequence is not an arithmetic sequence as the common difference is different.

Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.

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Do you think a friend would steal a led light controller after sleeping over cause I cannot find it?

Answers

Answer:

maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.

i would just ask if i were you, there’s no harm in asking but if they just get defensive instead of giving you an answer then maybe they did :/

Suponga que las calificaciones para el IQ (coeficiente de inteligencia) de una población adulta sigue una distribución aproximadamente normal, con una desviación estándar de 15 . Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105. Con base en estos datos, ¿es posible concluir que el IQ medio para la población es menor de 100? Utilice un nivel de significación de 0.01

Answers

Answer:

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

Step-by-step explanation:

Teste que IQ medio para la población es menor de 100

En la hipótese nula, lo teste es se el IQ medio eres de al menos 100, o sea:

[tex]H_0: \mu \geq 100[/tex]

En la hipótese alternative, lo teste es se el IQ medio es menor de 100, o sea:

[tex]H_1: \mu < 100[/tex]

La estatistica de teste es:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

En que X es el promedio de la muestra, [tex]\mu[/tex] es lo valor testado en la hipótese nula, [tex]\sigma[/tex] es la desviacion estandar y n es lo tamaño de la muestra.

100 testado en la hipótese nula:

Entonces [tex]\mu = 100[/tex]

Desviácion esstándar de 15: Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105.

Esto significa que [tex]\sigma = 15, n = 25, X = 105[/tex]

Estatisitica de teste:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{105 - 100}{\frac{15}{\sqrt{25}}}[/tex]

[tex]z = 1.67[/tex]

P-value de lo teste e decisión:

El p-value de lo teste es la probabilidad de encontrar una amostra com média abajo de 105, que es 1 subtraído por el p-value de z = 1.67.

En la tabla-z, z = 1.67 tiene un p-value de 0.9525.

1 - 0.9525 = 0.0475

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

3x-6y-2z=-17
−6x+4y+5z=13
−3x−4y−3z=22

Answers

Answer:

1) x = -17 +6y + 2z/3

2) x= -13 - 4y - 5z/6

3) x= -22 +4y + 3z/3

Step-by-step explanation:

1) 3x-6y-2z=-17

3x- 6y -2z- (-6y -2z)= - 17 - ( 6y -2z )

3x=-17+6y+2z

3x/3= -17/3 +6y/3 + 2z/3

x = -17 +6y + 2z/3

2) −6x+4y+5z=13

-6x+4y+5z- ( 4y + 5z )= 13 - ( 4y + 5z )

-6x=13-4y-5z

-6x/-6= 13/-6 - 4y/-6 - 5z/-6

x= -13 - 4y - 5z/6

3) −3x−4y−3z=22

-3x=22+4y+3z

-3x/-3 = 22/-3 + 4y/-3 +3z/-3

x= -22 +4y + 3z/3

From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years.

What would be the cost after 20 years of an item that costs $100 initially? (Round your answer to the nearest cent.)
$

Answers

Answer:

23.42

Step-by-step explanation:

If something is decreasing by 7% we can mulitply it by (1-.07) or .93

so our formula is

100(.93)²⁰= 23.42388737

which rounds to 23.42

Using the exponential decline function ; the cost of the item after 20 years would be $23.42

Recall :

[tex] y = A(1 - r)^{t} [/tex] y = final amount A = initial price = $100Rate, r = 7% = 0.07Time, t = 20years

Substitute the values into the equation :

[tex] y = 100(1 - 0.07)^{20} [/tex]

[tex] y = 100(0.93)^{20} [/tex]

[tex] y = 100(0.23423887366)[/tex]

y = $23.42

Therefore, the cost of the item after 20 years is $23.42

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Helpppp plssssss I need to get my grade up in math

Answers

Answer: 1.25 square feet

This converts to the improper fraction 5/4

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

Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

Add up the two results: 0.5+0.75 = 1.25 square feet

-----------

If you need the answer as an improper fraction, then,

1.25 = 1 + 0.25

1.25 = 1 + 1/4

1.25 = 4/4 + 1/4

1.25 = (4+1)/4

1.25 = 5/4

HELP ASAP PLS 10 points AND BRAINLEST

Answers

Answer:

ABC is congruent to EDC because m<3 = m<4 and m<1 = m<5

Step-by-step explanation:

m<3 and m<4 are vertical angles so they are congruent. m<1 and m<5 are alternate interior angles so they are also congruent.

Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proportion who own rental property by the water is (0.281, 0.392). Which of the following is the correct interpretation of this interval?

a. Ninety-five percent of all samples of size 500 will result in a proportion of rental property between 0.281 and 0.392.
b. There is probability equal to 0.95 that the proportion of owning a rental property by the water is between 0.281 and 0.392
c. 95% confident that the sample proportion of rental propery owners in Washington is between 28.1% and 39.2%.
d. We can be 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water

Answers

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.  

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

please helppppppppppppppp

Answers

Answer:

10 units

Step-by-step explanation:

Given that,

The area is modeled by the equation as follows :

[tex]A=-l^2-10l+300[/tex]

Where

l is the linear dimensions of the frame.

Put A = 100

So,

[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]

So, the linear dimension of the frame is equal to 10 units.

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels 30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime

Answers

Answer:

[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]

Step-by-step explanation:

Given

[tex]Pennies = 22[/tex]

[tex]Dimes = 27[/tex]

[tex]Nickels = 9[/tex]

[tex]Quarters = 30[/tex]

Required

[tex]P(Penny\ and\ Dime)[/tex]

This is calculated as:

[tex]P(Penny\ and\ Dime) = P(Penny) * P(Dime)[/tex]

Since it is a selection without replacement, the computation is:

[tex]P(Penny\ and\ Dime) = \frac{Penny}{Total} * \frac{Dime}{Total-1}[/tex]

So, we have:

[tex]P(Penny\ and\ Dime) = \frac{22}{22+27+9+30} * \frac{Dime}{22+27+9+30-1}[/tex]

[tex]P(Penny\ and\ Dime) = \frac{22}{88} * \frac{27}{87}[/tex]

[tex]P(Penny\ and\ Dime) = \frac{1}{4} * \frac{9}{29}[/tex]

[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]

What is the answer plz?

Answers

Answer:

[tex]1\frac{9}{12}[/tex]

Step-by-step explanation:

Convert any whole numbers to improper fractions

[tex]\frac{9}{4}-\frac{3}{6}[/tex]

Find the LCM of the denominators and use multiplication to change the denominators to the LCM

[tex]\frac{27}{12}-\frac{6}{12}[/tex]

Subtract

[tex]\frac{21}{12}[/tex]

Simplify

[tex]1\frac{3}{4}[/tex]

[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]

The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that X <_-3

Answers

Answer:

0.3 probability that [tex]x \leq -3[/tex]

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x <= -3

The values that are -3 or lower are -3 and -5. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5)[/tex]

From the table:

[tex]P(X = -3) = 0.13, P(X = -5) = 0.17[/tex]. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3[/tex]

0.3 probability that [tex]x \leq -3[/tex]

Answer:0.3

Step-by-step explanation:

Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate​

Your neighbor is putting in a small square deck with side length x+4, as pictured below, where x is measured in feet. (x + 4) (x + 4) Part A Write a polymonial in standard form that represents the area of the deck Part B. Write an expression for the cost of the lumber for the top of the deck if the lumber costs $5 per square foot. Part C. If x = 3 feet what will be the cost of lumber for the top of the deck?

Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate​

Answers

A: x^2 + 8x + 16

B: 5(x^2 +8x + 16)

C: $245

Please brainliest!

here we go it riddle time! READY??

whats starts off tall when young and shorter when older

(please dont report we r j trying to have some fun)

Answers

Answer is Candle


Step by step:

Write a recursive formula for the following sequence:10, 5, 0, -5,... *

Answers

Answer:

decrease by 5

Step-by-step explanation:

n= 10

then in sequence,

n= n-5

6
Which expression is equivalent

Answers

Answer:

I thimk it is B

Step-by-step explanation:

Bradley was passing out fliers to different neighborhoods. There were 20 neighborhoods that he wanted to hit. If each neighborhood had 83 houses, how many fliers would Bradley need?
(PLEASE HELP ME I WILL GIVE BRAINLIEST)

Answers

Answer:

1660

Step-by-step explanation:

SOMENE PLS PLS HELP IL GIVE OYU A KISS AND A COOKIE FI YOU HHELP E IM BEGGING

Answers

Answer:

B

Step-by-step explanation:

SOH CAH TOA

sin theta = opp/hyp

csc theta = hyp/opp

csc theta = 10/8 = 5/4

cos theta = adj/hyp

sec theta = hyp/adj

sec theta = 10/6 = 5/3

Answer: B

Pls help this is urgent!!!

Answers

Answer:

1/2

Step-by-step explanation:

numbers taken = 1 to 40

multiples of 2 are = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40}

so there are 20 favourable  outcomes.

probability = 20/40

=1/2

for multiples of 3

multiples = {3,6,9,12,15,18,21,24,27,30,33,36,39}

there are 13 favourable outcomes

probability = 13/40

since there is no 13/40 the answer should be the probability of multiples of 2 i.e 1/2

Cheryl is making homemade fruit soda. She needs 14 pints of fruit juices and club soda for her recipe. How many cups of homemade fruit soda does Cheryl make?

Answers

Well, if one pint is equal to 2 cups then, we are able to multiply 14 by 2 which gives us 28. Therefore, Cheryl can make 28 cups of homemade soda.

What is the surface area of the regular pyramid below?

Answers

D. 304 sq units

Surface area is just finding the area of each face of a 3d figure and adding it up together:

Area of square base:
8 • 8 = 64 sq units

Area of ONE triangle face:
1/2 • 15 • 8 = 60 sq units
MULTIPLY that by 4 because we have 4 triangle faces: 60 • 4 = 240 sq units

ADD area of square base and 4 triangle faces: 240 + 64 = 304

FINAL ANSWER OF SURFACE AREA:
304 sq. units

BRAINLIEST will be much appreciated!
-SpaceMarsh, have a nice day/night!

I would if someone could answer this :)

Answers

1- 90
2- 60
3- 60
4- 30
90 primera opcion
60 segunda opcion
60 tercera opcion
30 cuarta opcion

Can someone please help me?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remember X intercept is when y is equal to zero

So basically f(x-4) is literally equal to y=radical (x-4)

When graphing them you will notice that the x intercept is 4 units lower

Find the hypotenuse, c, of the triangle.

Answers

Answer:  12.65

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

Work Shown:

a^2+b^2 = c^2  ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer:

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

[tex] {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(hypotenuse)}^{2} = 144 + 16[/tex]

[tex] = > {(hypotenuse)}^{2} = 160[/tex]

[tex] = > hypotenuse = \sqrt{160} [/tex]

[tex] = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} [/tex]

[tex] = > hypotenuse = 4 \sqrt{10} \: (ans)[/tex]

100° - y А (x+2) units Match the values based on parallelogram ABCD, shown in the figure. length of BC value of y mZDAB value of I 56 4 44 2​

Answers

Answer:

BC = 4 units

Value fo y = 44

∠DAB = 56°

Value of x = 2

Step-by-step explanation:

100 - y = 12 + y  (opposite angles of parallelogram are equal)

2y = 88

y = 44

Similarly,

6-x = x+2   (opposite sides of parallelogram are equal)

2x = 4

x = 2

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