The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).

Which equation represents g(x)?

g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5

Answers

Answer 1

Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

Answer 2

The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

The graph of the function is given as:

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

The above graph passes through the origin.

So, the function can be rewritten as:

[tex]y -0= \sqrt[3]{x - 0}[/tex]

The above function has an inflection point at (0,0).

The translated function is said to have its inflection point at (4,0).

So, the translated function is:

[tex]y -0= \sqrt[3]{x - 4}[/tex]

Subtract 0 from y

[tex]y= \sqrt[3]{x - 4}[/tex]

Express y as a function of x

[tex]g(x)= \sqrt[3]{x - 4}[/tex]

Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

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Related Questions

4(x + 1) – 2x = 5 – x , what is the value of x ?

Answers

Answer:

x=3

Step-by-step explanation:

4(x+1) -2x = 5-x

divid 4 by whats in parentheses

4x+4 -2x =5-x

combind 4x and -2x

2x+4=5-x

combind 2x and x

3x+4=5

subtract 4 from 5

3x=1

3÷3 and 1÷3

x=3

Answer:

x = 0.33

Step-by-step explanation:

4(x + 1) - 2x = 5 - x

4x + 4 - 2x = 5 - x

4x - 2x + 4 = 5 - x

2x + 4 = 5 - x

2x + x + 4 = 5 - x + x

3x + 4 = 5

3x = 5 - 4

3x = 1

3x ÷ 3 = 1 ÷ 3

x = 0.33

Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70

Answers

The answer to the question is C

The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

What is interest?

Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.

For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.

Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.

Emma invested in Simple interest and Paul invested in compound interest,

We need to find the amount of both after 8 years.

Formula to be used =

Simple interest = PRT / 100 [p = principal, r = rate and t = time]

Compound interest =

A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]

So,

Emma's account after 8 years =

2000 × 6 × 8 / 100 + 2000 = $2960

Paul's account after 8 years =

A = 2000(1+0.06)⁸

A = $3187.7

Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

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Can someone help me with this
(show work)

Answers

Since each calculator is an x amount of money, you’ll have to divide by “x” or in this case, $31.25. Now, we know how much money they’ve spent, that being $500, so it makes things fairly simple,

500 / 31.25 = 16 calculators.

Leaving us with the answer being 16 calculators.

Answer:

16

Step-by-step explanation:

$500 ÷ $31.25 = the number of the calculator that the school bought

It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.

X-11=28 Show work I. Need helpp

Answers

Answer:

39-11=28 so that means X=39

Step-by-step explanation:

all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer

Answer:

x = 39

Step-by-step explanation:

step 1.

Add 11 to both sides

x - 11 = 28

x - 11 + 11 = 28 + 11

step 2. Add the numbers

− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!

SHOW STEPS PLEASE...

Answers

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Multiply two negative numbers to get 18​

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

(-9) × (-2) = 18

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

(-9*-2=18)

this * means multiply you probably already know that

Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic

Answers

Answer:

it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

did the math

4 part question help me pls 100 points
In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?

Answers

9514 1404 393

Answer:

there is no M in the diagram145°325°104°

Step-by-step explanation:

EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.

1. There is no M

__

2. arc EF = arc EG -arc FG = 180° -35°

  arc EF = 145°

__

3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI

  arc EGI = 360° -arc EI = 360° -35°

  arc EGI = 325°

__

4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:

  arc EI = 180° -arc GI = 180° -76°

  arc EI = 104°

What’s the volume of each cylinder

Answers

Answer:

471.24 is cylinder A

282.74 is cylinder B

Step-by-step explanation:

https://www.calculator.net/volume-calculator.html

here's the calculator I used.

What is the surface area of the cylinder shown below? Use 3.14 for π.


A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2

Answers

it is C

Step-by-step explanation:

i did the test

Answer:

The answer is actually B.

Step-by-step explanation:

I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)

13 (96) - 14 - (-24)​

Answers

Answer:

1210

Step-by-step explanation:

13(96)-14+24

l248-38

=1210

What is 48 divided by 613

Answers

Answer:

0.07830342577 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Answer:

0.07830343

Step-by-step explanation:

4) There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many beads are in each bag? * O 700 O 600 O 820 O 580​

Answers

Answer:

700 beads are in each bag.

Step-by-step explanation:

Which graph represents function f?
f(x) = (1/3)^x

Answers

Answer:

The second group represents function f.

Step-by-step explanation:

Hope it helps...

Have a great day

A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The graph that represents the function can be chosen by substituting the values and checking the function.

If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.

Hence, the correct graph is B.

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Find the mean absolute deviation (MAD) of the data in the pictograph below.

Answers

Answer:

its 1

Step-by-step explanation:

Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8

Answers

Answer:

3.5

Step-by-step explanation:

when do we say two points are said to be collinear​

Answers

Answer:

never heard of that word lol

Step-by-step explanation:

Which of the following is the solution to ?

Answers

Answer:

Could you add more info?

Step-by-step explanation:

Kareem said that four fifths of his age is 16years how old is Kareem?

Answers

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.​

Answers

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

[tex]a^2+b^2=c^2[/tex]

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

[tex]x=\sqrt{2}[/tex]

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Answers

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

 

If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?

Answers

Answer:

$150

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or: I= p * r * t

The probability that it will rain on any given day is 15% or 0.15. Find the probability it will rain at least once in the next three days.

Answers

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

The side adjacent to ∠W is …
Question 1 options:
side 34

side WU

side 90

side VW

Answers

The side adjacent to ∠W is side WU.

9514 1404 393

Answer:

  (b)  side WU

Step-by-step explanation:

With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".

The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.

(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)

please help me someone i really need this to get my grade up :(

Answers

Answer: D

2 1/2 divided by 1/4 = 10

hope this gets ur grade up keep trying ur best!! :D

Homework 2: Special Right Triangles Questions 16-24


I’ll give brainliest!

Answers

16 through 24 homework to special right triangles

Someone please answer this without trying to send me a link

Answers

Answer:

y=-2x+5

Step-by-step explanation:

y=-2x+5

Find x and y and thank you

Answers

Answer:

x = 8.66

y = 5

What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm

Answers

Answer:

21cm3

Step-by-step explanation:

multiply the polynomial
(x-1)(2x^2-5x+1) 

Answers

Answer:

2x^3 - 7x^2 + 6x - 1

Step-by-step explanation:

Thank me later lol.

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