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

please answer i will give crown :D

Answers

Answer:

0.24

Step-by-step explanation:

1.679-1.439

What is the name of the object pictured below?

Answers

Answer:

b

Step-by-step explanation:

Answer: D) KJ

Step-by-step explanation:

The object shown is a ray. It has a fixed starting point, but does not have an endpoint.

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

Answers

Answer:

it might be x=63.27

Step-by-step explanation:

Help please !! need it adap

Answers

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.

Answers

Answer:

108 degrees

Step-by-step explanation:

you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108

Select ALL TRUE statements about Linear Functions:
Group of answer choices

The degree of the function is one.

The y values change by a common difference.

The graph is a straight line.

Vertex form is used for graphing.

Answers

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

3.65 is greater than or less than 3and1/5​

Answers

3.65 is greater than 3 1/5 since if you put 1/5 in decimals, it would be 3.20.

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

Graph f(x) = 2 x + 3 + 2.

Answers

Answer:

HOPE IT'S HELPS YOU....

What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2

Answers

slope= (y2-y1)/(x2-x2)

(-5-(-2))/(3-1)
- negative 2 would become a positive
(-5+2)/(2)
-3/2

the answer is d

I have no clue how to do this! please help me!!!

Answers

Answer:

The equation has one solution.

A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10

A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10

Step-by-step explanation:

2x=10

Divide both sides by two:

2x/2=10/2

x=5. There is no other solution to the equation, because 5 is the only possible answer.

Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks

Answers

Yes the answer is correct it’s 4

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

Please help with this question

Answers

Answer:

I think it's Democrats

Step-by-step explanation:

but I hope I am right

Anna charges $8.50 an hour to babysit how long will it take to make $51.00

Answers

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))



Someone actually help me w this ☝

Answers

Answer

Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.

New coordinates: G(3,4) T(1,4) B(3, 20)

I can't figure this problem out- Please help me​

Answers

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24

Answers

Answer:

It's 48

Step-by-step explanation:

The entire area of the rectangle would be length times width

The width is six, and the length is 8

6 times 8 is 48

btw, its asking for area

Answer:

See, its divided into TWO squares/rectangles.

you have to solve with the numbers you have on each one.

so, for the covered in shade one, you do 6 times 2, which is 12.

for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.

for that one you do 6 times 6 which is 36.

now you add both of them.

36 + 12= 48.

You added them, you need to multiply them but do not mix both rectangles/ squares numbers  until the end

Which is a true statement based on the box plots below?
I WILL GIVE BRAINELY BECAUSE I NEED THIS DONE FAST BY TODAY

Answers

Question:

Which is a true statement based on the box plots below?

Answer:

It is C because the interquartile range is larger than the other one.

Hope This Helps :)

Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT

Answers

The equation for the following line is E.

The equation of the line is y = 9x. The correct answer is C.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

Learn more about equations here;

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Help SOMEONE???? MATH IS SO HARD!!!​

Answers

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

help please, i need it asap. thank you

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

I need some help! I would really appreciate it!

Answers

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

Please answer soon!!!

Answers

You can multiply the base times the height

Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26

Answers

Answer:

B. <1

E. <3

Step-by-step explanation:

Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.

<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.

Therefore, <1 and <3 are remote Interior angles of <6

They are away from <6.

The remote interior angles of ∠6 are ∠1 and ∠3

Remote interior angles:

Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.

The remote interior angles are usually opposite of the exterior angles.

The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).

Therefore, the remote interior angles of ∠6 are ∠1 and ∠3

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PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!

Evaluate f^-2 g for f = 3 and g = 27.

a) 9

b) 1/3

c) 3

Answers

B because it looks like it

(3)^-2 (27)

the answer is C) 3

P=(L+B), then B=_____?

Answers

Answer:

P = L+B

B = P-L

Hope it helps

If x = 1 does x² - x = 0?

Answers

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

ParenthesesExponentMultiplication orDivision Addition orSubstraction

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

Alternate way:

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

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A recipe for 1 batch of cookies calls for 3/4 cup of flour. How much flour is required to bake 1 1/2 batches of cookies?

Answers

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Does anyone know this, scammers keep answering it

Answers

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

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