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

x2 is to 441 as x3 is to ___.

Answers

Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

To learn more about equations click :

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Find the geometric mean of 3 and 48.

Answers

Answer:

12

Step-by-step explanation:

a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads

Answers

Answer:

famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf

Step-by-step explanation:

The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism

Answers

Answer:

A=2wl+2lh+2hw

A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)

A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)

A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)

Answer:

6x²+36x+22

Step-by-step explanation:

Surface Area = 2(wl + hl + wh)

Length = (x+3)

Width   = (x+7)

Height  = (x-1)

Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))

Then simplify

2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))

=2x²+20x+42+2x²+4x−6+2x²+12x−14

=6x²+36x+22

So i need help T-T

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible. Yellow, black. Yellow, black. Yellow, black. Yellow, black. Ooh, black and yellow! Let's shake it up a little. Barry! Breakfast is ready! Ooming! Hang on a second. Hello? - Barry? - Adam? - Oan you believe this is happening? - I can't. I'll pick you up. Looking sharp. Use the stairs. Your father paid good money for those. Sorry. I'm excited. Here's the graduate. We're very proud of you, son. A perfect report card, all B's. Very proud. Ma! I got a thing going here. - You got lint on your fuzz. - Ow! That's me! - Wave to us! We'll be in row 118,000. - Bye! Barry, I told you, stop flying in the house! - Hey, Adam. - Hey, Barry. - Is that fuzz gel? - A little. Special day, graduation. Never thought I'd make it. Three days grade school, three days high school. Those were awkward. Three days college. I'm glad I took a day and hitchhiked around the hive. You did come back different. - Hi, Barry. - Artie, growing a mustache? Looks good. - Hear about Frankie? - Yeah. - You going to the funeral? - No, I'm not going. Everybody knows, sting someone, you die. Don't waste it on a squirrel. Such a hothead. I guess he could have just gotten out of the way. I love this incorporating an amusement park into our day. That's why we don't need vacations. Boy, quite a bit of pomp... under the circumstances. - Well, Adam, today we are men. - We are! - Bee-men. - Amen! Hallelujah! Students, faculty, distinguished bees, please welcome Dean Buzzwell. Welcome, New Hive Oity graduating class of... ...9:15. That concludes our ceremonies. And begins your career at Honex Industries! Will we pick ourjob today? I heard it's just orientation. Heads up! Here we go. Keep your hands and antennas inside the tram at all times. - Wonder what it'll be like? - A little scary. Welcome to Honex, a division of Honesco and a part of the Hexagon Group. This is it! Wow. Wow. We know that you, as a bee, have worked your whole life to get to the point where you can work for your whole life. Honey begins when our valiant Pollen Jocks bring the nectar to the hive. Our top-secret formula is automatically color-corrected, scent-adjusted and bubble-contoured into this soothing sweet syrup with its distinctive golden glow you know as... Honey! - That girl was hot. - She's my cousin! - She is? - Yes, we're all cousins. - Right. You're right. - At Honex, we constantly strive to improve every aspect of bee existence. These bees are stress-testing a new helmet technology. - What do you think he makes? - Not enough. Here we have our latest advancement, the Krelman. - What does that do? - Oatches that little strand of honey that hangs after you pour it. Saves us millions. Oan anyone work on the Krelman? Of course. Most bee jobs are small ones. But bees know that every small job, if it's done well, means a lot. But choose carefully because you'll stay in the job you pick for the rest of your life. The same job the rest of your life? I didn't know that. What's the difference? You'll be happy to know that bees, as a species, haven't had one day off in 27 million years. So you'll just work us to death? We'll sure try. Wow! That blew my mind! "What's the difference?" How can you say that? One job forever? That's an insane choice to have to make. I'm relieved. Now we only have to make one decision in life. But, Adam, how could they never have told us that? Why would you question anything? We're bees. We're the most perfectly functioning society on Earth. You ever think maybe things work a little too well here? Like what? Give me one example. I don't know. But you know what I'm talking about. Please clear the gate. Royal Nectar Force on approach. Wait a second. Oheck it out. - Hey, those are Pollen Jocks! - Wow. I've never seen them this close. They know what it's like outside the hive. Yeah, but some don't come back. - Hey, Jocks! - Hi, Jocks! You guys did great! You're monsters! You're sky freaks! I love it! I love it! - I wonder where they were. - I don't know. Their day's not planned. Outside the hive, flying who knows where, doing who knows what. You can'tjust decide to be a Pollen Jock. You have to be bred for that. Right. Look. That's more pollen than you and I will see in a lifetime. It's just a status symbol. Bees make too much of it. Perhaps. Unless you're wearing it and the ladies see you wearing it. Those ladies? Aren't they our cousins too? Distant. Distant. Look a

Answers

Answer:

I read like the first two sentences lol.

Step-by-step explanation:

Well, scientifically speaking, the bees flap their wings at a very high and fast speed, making it able to carry itself. The wings are proportionally stable on the bee and are a specific size and positioning that allows it to fly.

#teamtrees #WAP (Water and Plant)

The regular price of a video game is $50. The game is on sale for 20% off the regular price.

Find the sale price of the game.



Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!

Answers

Answer:

Sale Price:

50x-20%=10

50-10= 40

Total Price:

40x-8%=3.20

40+3.20= 43.20

Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)

0 is a rational number (True or false).

Answers

Answer:

True

Step-by-step explanation:

you can't really explain it but I know it is a rational answer

Please help meh parents are yelling at me :(
Jasper is using the following data samples to make a claim about the house values in his neighborhood:

House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000


Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood? (10 points)
Group of answer choices

He should use the mean because it is in the center of the data.

He should use the median because it is in the center of the data.

He should use the median because there is an outlier that affects the mean.

He should use the mean because there are no outliers that affect the mean.

Answers

Answer:

d:$167,00

Step-by-step explanation:

AAAA (he should use the mean Bc it’s in the center of the data). Let me explain: it has to be mean because that’s just that, but from there, there is an outlier (2,500,000) so please don’t listen to the other answer!

rewrite 4^-3 using a positive exponent an evaluate the result.

Answers

Answer: 1/4³

Step-by-step explanation:

When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.

Examples:

2^-2 = 1/2²

3^-3 = 1/3³

4^-4 = 1/4⁴

A jeweler has 36 inches of sliver chain. She needs 5 times that much to make some necklaces. How much sliver chain does the jeweler need to make her necklaces?

Answers

Answer:

180 inches

Step-by-step explanation:

36x5= 180

Answer:

if she already has 36 inches and we are tying to find how much she need we need to take that 5 and multiple it to the 36 because the word TIMES means to multiple so 36x5= 180. so your answer will be she will need 180 in (since that is the measurement we are using)

Step-by-step explanation:

A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre

Answers

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minutes does it take to wash just one window?
0 6 minutes
60 minutes
180 minutes
5.400 minutes

Answers

Answer:

6 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 minutes / 30 windows= 6 minutes per window

The answer is 6 minutes and use quizlet or Socratic next time

Which equation represents a line which is parallel to x = 0?
helppp pleaseee

Answers

Answer:

Y = x

Step-by-step explanation:

Answer:

The right answer is y=-7

Hope this helps :3

Step-by-step explanation:

Describe the set of all complex numbers that are at a distance of 2 units from the origin.

Answers

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

Is the following relation a function?
Х
y
-2
1
0
3
5
.5
7
8
No
Yes

Answers

No it’s not a function

Answer:

Yes, its a function

Step-by-step explanation:

Wow...I forgot how to do this please help

Answers

Answer:

B. y = -6x+7

Step-by-step explanation:

change in x is positive 6 change in y is negative 1

6/-1 is the slope

-6 is the slope

War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how many antelope were there? (Answer is 918 but idk how to solve it.....)

Answers

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

George saves $163 a month. George saves $142 less each month than Lane. How much will Lane save in 2 years.

Answers

Answer:

504

Step-by-step explanation:

take 163 and subtract 142 then times by 24

it is 504 from google

Composite numbers have less than two factors. more than two factors. exactly two factors. greater than or equal to two factors.

Answers

Answer:

More than two factors

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

more than 2 answers

Stay safe,wear a mask,stay at home <3

what is the correct answer?​

Answers

Answer:

Step-by-step explanation:

124 I think

how to find the median ?? and explain one problem​

Answers

Put all of the numbers you have (starting from the smallest number to the biggest) in a line. Then the number in the middle is the median.

Answer:

It's quite simple, let me explain..

Step-by-step explanation:

The median is the middle of a data set, so you would need to find the exact middle of your data set.

If your data set is odd, and has an odd amount of numbers, just get the number exactly in the middle, and that would be your median. But when your data set has an even amount of numbers, it is a bit tricky.

Here's an example:

85, 78, 96, 83, 77

As you can see, this set has an odd amount of numbers, 5 numbers to be exact. The median would be 96 because it is exactly in the middle.

An example of a data set with even numbers would be this:

1, 2, 3, 4

What you would do is add the two numbers in the middle, and divide by two.

In this case, 2 and three are in the middle, so you would add 2 and 3, which is 5. Then you would divide 5 by two which is 2.5

2.5 Would be your median.

Hopefully this made sense, please ask questions if you have any.

A point on a graph is located at (0, -9). Which statement is true?
A -9 is the y-intercept.
B -9 is the x-intercept.
C 0 is the x-intercept.
D 0 is the y-intercept.

Answers

Answer:

A -9 is the y-intercept

Step-by-step explanation:

ANSWER :- OPTION A -9 IS THE Y-INTERCEPT

Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds

Answers

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

Pls give me the answer to this geometry problem smart people

Answers

Answer:

25

Step-by-step explanation:

Since it is a rhombus all the parallel lines are always divided by half at the intersection. Basically divide 50 by 2 because QN=50 and QS is half of that

Answer my math question I asked so many times I lost most of points help by

Answers

y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

Solve the equation by​ factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)

Answers

2x^2+20x=7x+7

2x^2-13x-7

(2x+1) (x-7)

2x+1=0

2x/2=-1/2

x=-1/2

x-7=0

x=7

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

no pic or better explanation

Step-by-step explanation:

if you give a pic or explanation we cant help sorry

which inequality is shown in the graph

Answers

Answer:

hgyuu by 7vb j 8gv c ryuug

y=>-x-4

the line is solid and the graph is shaded above the line so the symbol is => the slope decreases by 1 so it is -x and the y-intercept is -4

17y-5x+8=9 in standard form?

Answers

Answer:

-5X + 17Y -1 A = -5X B = 17Y. C = -1

Step-by-step explanation:

follow me say a thanks mark me branliest

The equation of a line 17y - 5x + 8 = 9  in standard form

is - 5x + 17y - 1 = 0.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.

∴  17y - 5x + 8 = 9.

- 5x + 17y - 1 = 0.

So, A = - 5, B = 17 and, c = - 1.

learn more about lines here :

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please help me pls and ty ​

Answers

There are two opposite pairs and I am not sure if this is a select all question.
But here are the following:

B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8

Hope this helps!

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