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

circle the possible values that satisfy each inequality!

Answers

Answer:

25

Step-by-step explanation:

5 > x/5

5 × 5 > (x/5) × 5

25 > x

Find the area of the rhombus.

Answers

Step-by-step explanation:

as the graphic shows, we are dealing with a special rhombus : a square.

this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.

what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?

I assume the half-diameter.

what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).

every leg is 6 cm long (based on my assumption above).

because they are right-angled, the area of each of these little triangles is leg×leg/2

6×6/2 = 18 cm²

we have 4 triangles, so the total area is

4×18 = 72 cm²

if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.

then we would have

3×3/2 = 4.5 cm² for a single triangle

and

4×4.5 = 18 cm² for the whole area.

Someone help. I don’t understand the question.

Answers

Answer:

9.9

[tex] \: [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

The base is 13.2

The perpendicular is a

The hypotenuse is 16.5

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]

Therefore,

The length of the missing side of the right triangle is 9.9

CAN SOMEBODY SOLVE THE EQUATION

Answers

I think it’ll be 1.8(14) (because the number of years from 1998) so 1.8(14) = 25.2

25.2 - 5.7 = 19.5

They will spend 19.5 billion dollars

A certain number added to its square is equal to 90. What is/are the number(s) that work?


Answers

Answer:

9,-10

Step-by-step explanation:

Let u be a number.

[tex]u + {u}^{2} = 90[/tex]

[tex]u {}^{2} + u - 90 = 0[/tex]

[tex](u + 10)(u - 9) = 0[/tex]

[tex]u = - 10[/tex]

or

[tex]u = 9[/tex]

9, -10

9,-10 the guy above got what I got

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft

Answers

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

G. Between 6 and 7

Step-by-step explanation:

As 41 lies between the square of 6 and 7

The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?

Answers

Answer:188

Step-by-step explanation:

u have to add all the side which is 46+46+13+13=188

Q9.
Solve the simultaneous equations
7x – 2y = 34
3x + 5y = -3
Show clear algebraic working.

Answers

After solving simultaneously we found the values for x and y are

2.76 and 5.65 respectively

Simultaneous Equations

We have the following two expressions

7x – 2y = 34 --------1

3x + 5y = -3 ---------2

Multiply 1 by eqn 5 and eqn 2 by 2

35x - 10y = 170-------3

6x + 10y = -6 ----------4

subtracting 4 from 3 we have

29 x= 164

divide both sides by 29

x = 164/29

x = 5.65

Put x = 5.65 in eqn 1 to find y

7*5.65 – 2y = 34

39.55 - 2y = 34

39.55-34 = 2y

5.55 = 2y

divide both sides by 2

x = 5.55/2

x = 2.76

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HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER

Answers

Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

Find the measure of each angle.
x - 7
X
x + 10

Answers

Answer:

x - 7: 52

x: 59

x + 10: 69

Step-by-step explanation:

Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:

x - 7 + x + x + 10 = 180

Combine like terms:

3x + 3 = 180

Subtract 3 on both sides:

3x = 177

Divide by 3 on both sides:

x = 59

Now plug in 59 for each angle.

The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.

Answer:

52°, 59°, and 69°

Step-by-step explanation:

Each of these angles add up to make a straight line, or = 180°

(x - 7) + x + (x + 10) = 180

3x + 3 = 180

3x = 177

x = 59

Angle A = 52°

Angle B = 59°

Angle C = 69°

52 + 59 + 69 = 180!

11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month

Answers

Answer:

B

Step-by-step explanation:

Because of inflation, prices at restaurants would go up.

Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.

Equation:
Answer: x=

Answers

Answer:

x= (26.61-3.39)/18

Step-by-step explanation:

simplify 15a+21b-6a-4

Answers

Answer:

9a+21b-4

Step-by-step explanation:

first of all combine the like terms

15a + 21b - 6a - 4

= 9a + 21b - 4 Ans.

The simplified expression of 15a+21b-6a-4 is 9a+21b-4

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  15a+21b-6a-4

Fifteen times of a plus twenty one times of b minus six times of a minus four.

a and b are the variables and plus, minus are the operators

Add the like terms in the expression

15a-6a+21b-4

Fifteen times of a and minus six times of a are the like terms.

So add these like terms.

When 15 and -6 are added we get 9

So the expression becomes as Nine times of a plus twenty one times of b minus four.

9a+21b-4

Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4

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Edward counted out 20 cards for a card game. Then he split those cards evenly among the 4 players.

The letter c stands for the number of cards for each player. Which equation can you use to find c?
option
20-4=C
20/4=C

Answers

Answer:

20/4=c

Step-by-step explanation:

You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)

Pls help asap, have a great day

find, w: x: y: z:

Answers

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2

Finding y

Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]

A chef used one-half of a bag of potatoes for a meal. If the potatoes fed 2 people, what
fraction of the bag did each person get?


(Help plss as soon as you can)

Answers

Answer: 1/4

Step-by-step explanation: each person had half of the half of bag.

FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM

Answers

4+4+6+6=12+8=20

hope this helps

height: 6-2=4 units

length: 9-3=6 units

4×6=24

-> 24 units


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

Answers

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

On Tuesday, recess began at 11:43. The students got back to their class at 12:04. How long were they at
recess?

Answers

Answer:

They were out side for 21 minutes

Step-by-step explanation:

you just add 11:43 and add 21 minutes  to it and you get 12:04

help please. I don't know it​

Answers

You start it by multiplying 6 times 4.2 which gives you 25.2 then multiply the value 25.2 four times to get total surface area which is 100.8

Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function

Answers

Answer:

B. it is a one-to-one function

Step-by-step explanation:

since the line is curving a bit while passing.

The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?

Answers

Answer:

63 km

Step-by-step explanation:

Given :

Speed = 315 km/hTime = 12 minutes

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hours

Calculating distance

Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 km

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

An inequality is shown.



Select all the values of that make the inequality true.

Answers

Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:
Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer chioces:

-----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

-----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

-----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

-----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

-----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

-----------------------------------------------------------------------------------------------------------

[RevyBreeze]

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

I NEED HELP ASAP!!!!!!!!
QUESTION BELOW

Answers

Answer:

Step-by-step explanation:


help asap will give brainly .

A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height =

Answers

20 is your answer i believe

Using the formula S = P(1 + r)t, where P is the original principal, r is the annual interest rate, and t is the number of years, what is the investment savings, S, if P = $14,500.00, r = 7.5%, and t = 5 years?

Answers

[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]

Question 13 of 14

Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]

miles on Sunday.

On which day did Phillipa ride her bicycle the most?

She rode her bicycle the most on .

Answers

Answer:

Sunday

Step-by-step explanation:

Friday  

[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles

Saturday

[18 − (2 × 4)] = 18 - (8) = 18 - 8 =  10 miles

Sunday

[20 − (5 − 3)] = 20 - (2) = 18 miles

18 > 11 > 10

Then She rode her bicycle the most on Sunday

Try:

Rereading your lessons, getting help from your tutor or others.

Answer:

Sundays

Hope this helps and don't forget to hit the thanks button! <3

Written by: RiBu

THE ANSWER IS SUNDAYS.

If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%

Answers

Answer:

3.6% or B quack quack quack quack

The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, the labor force is 740 workers, but 27 are unemployed.

Here, percentage = 27/740 ×100

= 2700/740

= 3.6%

Therefore, option B is the correct answer.

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