Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).​

Answers

Answer 1

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

How to transform the table?

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

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Related Questions

When rounded to the ten thousands place, which of the
numbers below round to 110,000? Select all that apply.
A) 113,450
B) 95,678
C) 104,298
D) 94,560
E) 106,789

Answers

Answer:

e

Step-by-step explanation:

Answer:

a, e

Step-by-step explanation:

a would round to 110,000 because 113,450 rounded to the ten thousand round down to 110,000

95,678 would round up to 100,000 not 110,000

104,298 would round down to 100,000 not 110,000

94,560 would round down to 90,000

106,789 would round up to 110,000 because 6 rounds up because 5 and up is rounded up

De 17 estudiantes 4 hablan frances, si se seleccionan 3, ¿cuál es la probabilidad de que ninguna habla frances?

Answers

Esta es una cuestión de probabilidad condicional, y la resolución podría ser la siguiente:

Estudiantes seleccionados ÷ ninguno habla francés3 / (17 - 4) = 3/13¿Qué es la probabilidad condicional?

Corresponde a un concepto matemático que involucra la probabilidad de que ocurran dos eventos, es decir, la probabilidad de que ocurra el evento A, sabiendo que el evento B ya ocurrió.

Por lo tanto, la probabilidad de que ningún estudiante hable francés es 3/13 o 23%.

Encuentre más información sobre la probabilidad condicional aquí:

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Graph the line with slope
2.
passing through the point (-3, 3).
3
1
?
13

Answers

The graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.

What is the Equation of a Line in Slope-intercept Form?

The equation in slope-intercept form of a line, is y = mx + b, where:

b = y-intercept

m = slope = change in y/change in x.

Given a line with slope = 2 and passes through (-3, 3), plug in m = 2 and (a, b) = (-3, 3) into y - b = m(x - a) to write the equation of the line

y - 3 = 2(x - (-3))

Rewrite in slope-intercept form

y - 3 = 2x + 6

y = 2x + 6 - 3

y = 2x + 3

Therefore, the graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.

Learn more about slope-intercept form on:

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HELP PLEASE!!
Discuss the steps that you used
to create your tangent line.
What was the most important
step?
Give an example of tangents in
the real world that have not
been presented in this lesson.
Explain how you know the
tangent and the radius are
perpendicular.

Answers

Answer:

You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj

Step-by-step explanation:

Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.

The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.

What is the median for the following set of data?

4, 4, 6, 10, 12, 13, 15, 16



a 12

b 10

c 11

d 16

Answers

Answer:

C

Step-by-step explanation:

The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.

Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2

[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]

Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:

Neighbor B:

Neighbor C:

Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.

Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?

Answers

Answer:

i think c

Step-by-step explanation:

Answer:

Neighbor C will take the least amount of time and Neighbor B will take the most amount of time.  Let me know if i'm right!

Step-by-step explanation:

I hope this helps! Have a good weekend!! :)

Which of the following values in the set below will make the equation 4x + 2 = 18 true?

{0, 1, 2, 3,4}
^^ those are the input numbers

Answers

Answer:

4

Step-by-step explanation:

subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4

4x+2=18

-2. -2

4×=16

4. 4

x=4

Hi my name is Leah and I need help with my homework that's on Ken Academy I'm in the 5th grade and I need help with this screenshot Can anybody give me an answer? it's due today!

Answers

Heyy, so the answer should be: 9.3

Hope this helps

8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?

cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?

Answers

The Surface area of the whole cone is 4408.56 cm²

The Surface area of the tips that is removed is  376.8 cm²

The Surface area of the megaphone(hollow) is  2712.96 cm²

What is surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Therefore,

Surface area of the whole cone = πr² + πrl

Therefore,

Surface area of the whole cone = πr(r + l)

where

r = radius = 18 cml = edge length = 60 cm

Surface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²

Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²

Surface area of the megaphone(hollow) = πrl

Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²

learn more on surface area here: https://brainly.com/question/7410402

I need to know the answer now please and thank you

Answers

Answer: D. f(-4)=g(-4)
When the y-value of the f line is -4 the y-value of the g line is -4

Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)

(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)

(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)

(x,y)↦(x−7,y+8)

Answers

Answer: ( x + 8, y -7)
x value is moved 8 units to the left. So add 8 to x value.
Y value is moved 7 units down. So subtract 7 from y value

Answer:x+8, y-7

Step-by-step explanation:

Porter drove due east 20 miles on Interstate 23, then due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point?

A. 30.48 mi
B. 26 mi
C. 11.36 mi
D. 43 mi

Answers

Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

The expression below is a sum of cubes.

64x^3 + 125

A. True

B. False

Answers

Answer:

A True

Step-by-step explanation:

[tex]4^{3} x ^{3} + 5^{3} [/tex]

What are the sum of the interior angles in an irregular octagon?

Answers

Answer:

1080

Step-by-step explanation:

Use formula

Sum of in. angle=(n-2)*180

Answer:

1080°

Step-by-step explanation:

To find the sum of interior angles, use the formula: 180(n-2). Input '8' as 'n'.

180(8-2)

180(6)

1080°

Therefore, the sum of interior angles of an irregular octagon is 1080

WILL GIVE BRAINLIEST

Find the exact value of the indicated trigonometric functions using the given information.


Given: tan a=2.4, and π/2Find the exact value of the indicated trigonometric functions using the given information.

Given: tan a=2.4, and π/2find sin a and cot a

Answers

Answer:

Viewed as a right angled triangle

tan

(

x

)

=

5

12

can be thought of as the ratio of opposite to adjacent sides in a triangle with sides

5

,

12

and

13

(where

13

is derived from the Pythagorean Theorem)

So

sin

(

x

)

=

5

13

and

cos

(

x

)

=

12

13

Step-by-step explanation:

Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS

Answers

Answer:

E. SSS

Step-by-step explanation:

AB=BC (Given)

AD=CD (Midpoint)

BD=BD (common)

Therefore answer is : SSS

An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?

a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars

Answers

The answer to your question is the last option. “An online survey for sharing data about their cars”. Have a great day

A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.

What is a survey?

A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.

This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.

Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.

A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.

To know more about the survey follow

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In the graph the horizontal axis says “proportion of heads”. Write a more accurate label for these values in terms of babies and toy preference.

Answers

The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.

What is the  Chart Label of an Axis in Statistics?

A chart label is a name given to the factors represented by the axis of a chart.

Typically, a chart has two axes. In some cases, three.

Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.

The referrenced chart is attached.

Learn more about Chart labels at:
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I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)

Answers

Answer:

1. 84.7

2. 24

3. 47.5

4. 57.5

Step-by-step explanation:

your welcome and mark as brainliest pls

in 1961 yuri gagarin became the first man to orbit the sun he traveled for 108 minutes at an average speed of 235 miles per minute how many miles did he travel

Answers

Answer:

25,380 miles

Step-by-step explanation:

108 minutes × 235 = 25,380

During a sale at the electronics store​, movies sold for ​$3 and CDs sold for ​$2.50. Isla spent ​$24 and bought a total of 9 movies and CDs. How many of each did she ​buy?

Answers

6 CDS (2.5*6=$15)
3 Movies (3*3=$9)

+3=17
x
+
3
y
=
17

−+2=8

x
+
2
y
=
8



Step 1: Find the LCM to eliminate the x.

Step 2: Write the new equation.

Step 3: Divide to solve for y.

Answers

Answer:

1

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

y - x = 4x (vertically opposite angles)

y = 5x

4x+ y+x = 180

5x+5x = 180

x = 18

y = 90

Drag each equation to its equivalent fact. DUE TODAY

Answers

Answer:

left left right

Step-by-step explanation:

rearange the formula as normal

The length of a rectangle is 8 more than the width. The area is 65 square centimeters. Find the length and width of the rectangle.

Answers

Answer: The width of the rectangle is 5 cm and the length is 13 cm

Step-by-step explanation:

Let the width be x cm

Let the length be (x+8) cm

Area = 65cm²

[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]

Therefore:

Width = 5 cm

Length = 5 + 8 = 13 cm

GIVING BRAINLIEST!! need this rlly soon thank you so much!

Answers

Answer:

Large - PR - 15 and QR - 9 Missing degrees is P - 37

Small - Missing degree is 53

They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.

Step-by-step explanation:

Pythagorean theorem

A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?

Enter your answer rounded to the nearest hundredth, like this: 4.23

Answers

Z = (x-μ)/sd

Z = z-value
x = observed value
sd = standard deviation

Z = (68-70.21)/1.35
Z = -1.64 (this is below mean average)

How many TRIANGLES can be constructed with sides measuring 8 cm, 9 cm, and 11
cm ?

Answers

Answer:

1 -- Triangle

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Which lines are the directrices of the ellipse?

x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25

Answers

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

How to calculate the ellipse?

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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So can someone explain how the heck does 4 x 4 x 4 = 64??
Cause I keep on getting 12 so like wth??

Answers

Answer:

it is more like, 4x4=16

16x4=64

Step-by-step explanation:

I know it can be confusing, but you will eventually get it :)

i think you were adding 4+4+4=12, but that is not what you are supposed to do here.

Hope i helped :)

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