The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain

Answers

Answer 1

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The changes are as follows:

Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.

Hence, the equation is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517


Related Questions

SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!

Answers

Answer:

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

and

[tex]339.292 cm^3[/tex]

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

[tex]r = \frac{8}{2}=4[/tex]

r = 4

Plug everything into the volume equation.

[tex]V = \pi 4^2 (9)[/tex]

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

[tex]r = \frac{4}{2}=2[/tex]

r = 2

Plug everything into the volume equation..

[tex]V = \pi 2^2 (9)[/tex]

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]

This means..

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

That is your answer to the first part of the question.

For the second part, just solve.

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

[tex](\pi*16*9)-(\pi*4*9)[/tex]

[tex](\pi*144)-(\pi*36)[/tex]

[tex]144\pi-36\pi[/tex]

[tex]108\pi[/tex]

[tex]339.292[/tex]

Don't forget the units.

[tex]339.292 cm^3[/tex]

Hope this helped you!

Answer:

What ever the other guy said

Step-by-step explanation:

pointsssssssssssssssssssssss​

Answers

Answer:

hello thank you

Step-by-step explanation:

Answer:

TYSM    Have a great Day!!!

:)

Step-by-step explanation:

Multiply. Write your answer in scientific notation.
(3 * 1010)(2 x 1010)

Answers

Answer:

6,120,600

Step-by-step explanation:

very easy! 6th grade stuff! brainliest promised!

Answers

Answer:

It's Number A.

Step-by-step explanation:

It is number A because she walks 15 miles per hour, the ratio would be

hours - miles.

So, it means there are 15 miles to 4 hours.

Find the missing side lengths.

Answers

Answer:

Sides are 3√2

Step-by-step explanation:

45-45-90 triangle shortcut, both sides are the same but needs to make multiply the √2 to make it the hypotenuse.

A is correcttttttttt

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

express 12 2/3 in simplest radical form

Answers

Hope this will help you if I am answering this right.

A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960

Answers

H. 300 I’m almost sure.

THIS IS 30PTS. help fast

Answers

Answer:

1. x>-1 D

2. x<-8 A

3. A

4. C

5.A

Step-by-step explanation:

1. -2x+5<7

-2x<2

x>-1

2. 3-(2x-5)<-4(x+2)

3-2x+5<-4x-8

8-2x<-4x-8

16-2x<-4x

16<-2x

(because youre dividing by a negative, the sign flips. this is not a typo)

-8>x

x<-8

3. A

4. C

5. A

4316 rounded to the nearest 100

Answers

4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

What is Rounding of a number ?

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

To know more about  Rounding check:

https://brainly.com/question/29878750

#SPJ2

the question is on the sheet ​

Answers

y=1/2x-5 is the answer

5) The perimeter of the given square is 56cm. Construct an equation and hnd
the side of the square.

2x

Answers

Answer:

side = 14 cm

Step-by-step explanation:

Let 'x' be the side of the square.

Perimeter = 4 * side

                = 4*x

                = 4x

4x = 56

Solution:

4x = 56

Divide both sides by 4

x = 56/4

x = 14 cm

WILL GIVE BRAINLY TO THE CORRECT ANSWER Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.

A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer:

B

Step-by-step explanation:

Hopes this helps

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!

Step-by-step explanation:

PLEASE HELP ME I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON

Answers

22 is 4.33333333 minutes, that’s all i know lol
22. 260sec=4min and 20sec

24.
3/7=9/x
3/7=9/21 because 9/3 is 3 so u need to multiply 7 w 3. (3*3=9)

Help! I’ll give I Brainlyst to the first person but please I need it right now!

Answers

Answer:What’s your question?

Step-by-step explanation:

Use a geometric model to factor x2 - 9 by following these steps:

Step 1: Model x2 - 9 by placing tiles in the product section. (Do not try and form a rectangle.)

Answers

Answer:(x-3) (x+3)

Step-by-step explanation:

The equation x^2 - 9 is modeled by placing tiles. The image is attached below.

What is tile modeling?

It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.

How can we make a model of multiplication?

To make a model, first, we must factorize the expression.

The given expression is x^2 - 9.

This can be factored as shown below:

x^2 - 9 = (x - 3)(x + 3)

We must now make a horizontal row containing x, -1, -1, and -1.

Similarly, we must make a vertical column containing x, 1, 1, and 1.

Now we must multiply each row and columnn to together and add them together as shown below:

x^2 - x - x - x + x + x + x - 9 = x^2 -9

This is the same as the given expression.

Thus, we have modeled the given expression by placing tiles in the product section.

Learn more about tile modeling here: https://brainly.com/question/26940677

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BRAINLEST Please solve this question copy and paste the link! For 5 hours nobody has answered my question so please answer! Link: https://brainly.com/question/19457951

Answers

Answer:

As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.

480 / 8 = 60

The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3

Which gives your answer.

PLZ HELP IM HAVING TROUBLE ON MY RSM!

Answers

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

Find the next two numbers and state a rule describing each pattern

44. 0,7,14,21, ... 45. 1,3,9,27, ... 46. 1,4,9,16, ...

Answers

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

THIS IS 30PTS. help hi

Answers

Answer:

The first one.The first one.The first one The first one too (not 100 percent sure, though) And once again, the first one.

Step-by-step explanation:

The sign should change (flip) when dividing by a negative number.

I hope all is correct. Good luck

Answer:

x>1

Step-by-step explanation:

2x+5<7

subtract 5 from both sides

-2x<2

divide by negative 2 and flip the sign

x>1

HTH :)

If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?

Answers

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

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

6 men            3 m hole              4 days

10 men           7 m hole             x days

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

As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:

[tex]rate\:=\:\frac{4}{3}[/tex]

Then  [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.

so

[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]

             [tex]=5.6[/tex]   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

低于当地人民:或立场上有一些事情了!儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
n + q = 28
0.05n + 0.25q = 4
n + q = 4
5n + 25q = 28
n + q = 28
5n + 25q = 4
n + q = 4
0.05n + 0.25q = 28

Answers

Answer:

n + q = 28 0.05n + 0.25q = 4

Answer:

The answer is A :>

jade has 4 bags of chips each bag has x amount of chips. How many chips are in total?

Answers

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

What is the solution for x in the equation?
3
*
= 2r 쪽
OA.
r =
ICO
OB.
=
مراجع
OC.
=
OD
=
-
Reset

Answers

The answer would be C, x=4/3

pls answer I give brainliest

Answers

Answer:

Part A: so that no single branch has to much power

Part B: "Each branch of government must check the actions of the other two branches to prevent one branch from having too much power."

Hope this helped!!!

Answer:

Part A is the first choice and part B is the second choice

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number h of hours you can rent the canoe.

Answers

Answer:

Step-by-step explanation:

$13+$5.50=$18.50

$29.50 divided by $18.50=Your Answer

Answer:

You can rent canoe for 3 hrs.

Step-by-step explanation:

Say R = Rent

h = hours of using

* Rent needs to be added when we pick the canoe itself

* Hours should be multiplied with $5.50 to get total spent money.

R + 5.50h = 29.50

R=13

13+5.50h = 29.50

5.50h= 29.50-13

5.50h = 16.50

h = $16.50/$5.50 (

h = 3

Determine triangle type?

Answers

Answer:

scalene right

Step-by-step explanation:

all side are opposite and there is a 90% so that makes it right

Scalene right angled triangle

Write the equation of the line that passes through the points (2,5) and (2,-6). Put
your answer in fully redaced point-slope form, unless it is a vertical or horizontal line.
Answer:
Submit Answer
attempt 1 out of

Answers


m = (y-y)/(x-x)
= (5–6)/(2-2)
= 1/0

1/0 is undefined so the line is a vertical line
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