are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.

Answer:

[tex]50(3x-y)[/tex]

Step-by-step explanation:

You just gave an expression, therefore:

[tex]50x+100x-50y[/tex]

[tex]150x-50y[/tex]

[tex]50(3x-y)[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \, \;\; \;\; 150x+-50y $ } }\\[/tex]

Step-by-step explanation:

Let's simplify.

[tex]50x+100x-50y[/tex]

To solve this, we will have to combine the like terms.

[tex]50x+100x+-50y[/tex]

Let's add parenthesis.

[tex](50x+100x)+(-50y)[/tex]

This equals:

[tex]150x+-50y[/tex]

Hope this helps!

Answer:

Take a look at the attachment below

Step-by-step explanation:

Answer:

5 footballs were sold for every 2 basketballs sold.

Step-by-step explanation:

2.5 times as many football as basketball was sold last year

This can be represented as

1 basket ball sold = 2.5 footballs sold

for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

Answer:

8x2+4x+16

Step-by-step explanation:

first you would place as so

8x2-5x+9 - (-9x-7)

you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7

You then add like terms and put them into standard form.

hope this helps!!

Answer:

4x + 2 = 0

4x = -2

x = -1/2

if you need it simplified it already is

Answer:

h=4/5

Step-by-step explanation:

[tex]h + \frac{6}{5} = 2 [/tex]

Collect like terms and simplify

[tex]h = 2 - \frac{6}{5} \\ h = \frac{4}{5} [/tex]

Answer:

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

Hence the length of TU is 5

Answer:

Step-by-step explanation: the answer is 5

Answer:

12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.

Step-by-step explanation:

Answer:

112 degrees

Step-by-step explanation:

Angle J and the other angle combines to form a straight angle. In other words, they must total 180 degrees. Thus:

[tex]68+j=180[/tex]

Subtract 68 from both sides:

[tex]j=112\textdegree[/tex]

And we're done!

Answer:

I believe the answer is 112 degrees

Step-by-step explanation:

If you know, a straight line hs 180 degrees. Well, then having this knowledge,  make a simple equation x+68=180.

Then Solve the equation

x+68=180

  -68  -68

x=112

Hope it helps!

Answer:

p = [tex]\frac{q}{3} - \frac{4r}{3}[/tex]

Step-by-step explanation:

Answer:

Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Edg. 2020

Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Answer:

-10x + 28

Step-by-step explanation:

Step 1: Write expression

3 - 5(2x - 5)

Step 2: Distribute -5

3 - 10x + 25

Step 3: Combine like terms

-10x + 28

Answer:

= -10x+28

Step-by-step explanation:

Answer:

first

|a+3|/2=1

|a+3|=1*2

|a+3|=2

a=2-3

so,a=-1

second

2|b+1|=6

|b+1|=6/2

|b+1|=3

b=3-1

so,b=2

now,|a+b|

= -1+2

= 1

therefore,|a+b|= 1

Answer:

-5 degrees F

Step-by-step explanation:

Answer:

29 hours

Step-by-step explanation:

$250: $8.75= 28.5. and you round that up to 29. cause 28 times 8.75 is $245. and that's below the amount that James needs

Answer:

Point M

Step-by-step explanation:

Step-by-step explanation:

3x-4x>-1/2-5/8

-x>-9/8

x<9/8

Answer:

1. It is a reflection across the y axis, a rotation and a translation to the right and down.

2. A reflection across the x-axis, translation left 2 and down 1, with a 45 degree clockwise rotation.

3. An 180 degree reflection on line bc and a translation

Step-by-step explanation:

Case 1 involves translation and rotation.

Case 2 involves translation, rotation and reflection.

Case 3 involves translation and reflection.

In this question, we are going to describe succinctly all Steps needed to turn each Polygon P into respective Polygon Q:

Case 1:

(i) Translation along a Vector between Points A and H.

(ii) Rotation around Point H.

Case 2:

(i) Translation along a Vector between Points B and J.

(ii) Rotation around Point J.

(iii) Reflection with respect to a "vertical" Lines passing through Point J.

Case 3:

(i) Translation along a Vector between Points B and F.

(ii) Reflection with respect to a Line passing through Segment FD.

Please see this question related to Operations with Polygons: https://brainly.com/question/12091224

Answer:

m=44

Step-by-step explanation:

Answer:

m=44

Step-by-step explanation:

Answer:dd

Step-by-step explanation:d

Answer:

The answer is $0.33 for 11 oz

Step-by-step explanation:

All you have to do is divide the oz by the price and A is the lowest.

Given:

[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]

To find:

The number of possible solutions, if the Order of Operations did not exist.

Solution:

We have,

[tex]4 + 9 + 16 \div 4 - 8 -3 \times  5[/tex]

Now,

Case 1:

[tex][4 + 9 + 16] \div [4 - 8 -(3 \times  5)]=29\div (4 - 8 -15)[/tex]

[tex]4 + 9 + 16 \div  4 - 8 -(3 \times  5)=-\dfrac{29}{19}[/tex]

Case 2:

[tex][4 + 9 + 16] \div  (4 - 8 -3) \times  5=29\div  (-7\times 5)[/tex]

[tex]4 + 9 + 16 \div  (4 - 8 -3) \times  5=-\dfrac{29}{35}[/tex]

Case 3:

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=4+9+4-8-15[/tex]

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=-6[/tex]

Many more possibilities are there.

Therefore, there are more than 3 possible solutions.

Answer:

-480

Step-by-step explanation:

(-5)(16)(-3)(-2) =

= (-80)(-3)(-2)

= (240)(-2)

= -480

Answer:

Step-by-step explanation:

Answer:

D. $15,219.20

Step-by-step explanation:

given:

The automobile that he is interested in has a sticker price of $18,560.

If his discount is 18 percent,

find:

what is the price that Dao will pay?

solution:

sale price =   $18,560 - (0.18 x  $18,560) =  $15,219.20

therefore,

Dao will pay $15,219.20

the answer is D.

im taking the test right now..

Answer:

-1/125

Step-by-step explanation:

1/(-5)^3

evaluate

1/-125

Answer:

4.5

Explanation:

add up all the numbers and divide by the amount

Answer:

-,-

Step-by-step explanation:

the y axis is negative and the x axis is also negative

hope this helps

15°c = 59°f

because :

(15 °C × 9/5) + 32 = 59 °F

===

so to the nearest tenth its doing 60°f

Answer:

The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.