The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
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The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.

Answers

Answer 1

Answer:

D The volume of a cube increases by a factor of 8 when its edge length doubles

Step-by-step explanation:

Volume of a cube is represented by the function

[tex]V(x)=x^3[/tex]

where [tex]x[/tex] represents the edge length of the cube

Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have

[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]

It can be seen that the volume of the cube increased by 8 times when edge length doubles.

Answer 2

Answer:

the answer is d

Step-by-step explanation:


Related Questions

Which graph represents the equation y = 2x + 1?

Answers

Answer:

B, the second one.

Step-by-step explanation:

Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1,  so you would use rise over run to find the correct answer choice.

Answer:

B the second one

Step-by-step explanation:

I got right trust me frfr

Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
ОА.
The equation has one solution, x= 1.
OB.
The equation has one solution, x = 0.
OC. The equation has no solution.
OD.
The equation has infinitely many solutions.

Answers

Answer:

D

Step-by-step explanation:

-9x-27+12 = -6x-15-3x

0=0

D) the equation has infinitely many solutions

Which proportional relationship has the greatest rate of change?

Answers

Answer:

The answer is A.

Step-by-step explanation:

A- slope is 7

B- slope is 3

C- slope is 4

D- slope is 6

The first option, [tex]y=7x[/tex] has greatest rate of change.

Any relationship which have greatest slope, that relationship will also have greatest rate of change.

First option is,  [tex]y=7x[/tex] , compare with y = mx

Slope = 7

Slope of option B is,  [tex]=\frac{12}{4} =3[/tex]

Slope of option C is,  [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]

Slope of option C is,  [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]

From slope of all options , it is observed that  function y = 7x has greatest slope.

Hence, first option y = 7x has greatest rate of change.

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Cindy tutors for $20 per hour and gets a $5 tip.

Part A

Which of the following functions represent this situation, if E is Cindy’s total earnings and h is the number of hours she works?

a
E(h) = 20h + 5
b
E(h) = 5h + 20
c
E(h) = 25h
d
E(h) = 20h

Answers

Answer:

I think it is b hopes this helps.

Which system matches the graph below?

y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3

Answers

Answer:

(a)

Step-by-step explanation:

[tex]y= -4^{x}[/tex] and y = 2x - 3

The measures of the angles of the triangle solve for x

Answers

Answer:

x = 8

Step-by-step explanation:

if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x

3x+12 = 36

3x = 24

x = 8

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

3x + 12 + 54 + 90 = 180, simplify

3x + 156 = 180 ( subtract 156 from both sides )

3x = 24 ( divide both sides by 3 )

x = 8

could someone help me with this math question? its operations with scientific notations

Answers

Answer: 16312.5

Step-by-step explanation:

That took a lot of time. There you go.

Answer:

163125

Step-by-step explanation:

Divide the numbers then divide the exponents. Put them back together once done.

[tex]\frac{5.22}{3.2} = 1.63125[/tex]

[tex]\frac{10^{9}}{10^{4}} =10^{5}[/tex]

To get 163125, I moved the decimal point 5 places to the right since the exponent is 5.

[tex]1.63125*10^{5}=163125[/tex]

Just number 4 plz help

Answers

Answer:

They are similar

Step-by-step explanation:

the rectangle have the same proportions

the sides of the big one are 4:6 and the small one is 2:3

they both simplify to 2:3 so that means they have the same proportions which means they are similar

Which expression represents the sum of 31 and 104,
divided by 3?

Answers

Answer:

The answer is 45

Step-by-step explanation:

Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45

The expression (31 + 104) / 3 is equal to 45.

The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.

To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.

Dividing 135 by 3 yields a result of 45.

Therefore, (31 + 104) / 3 is equal to 45.

The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.

Learn more about expression here

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Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help

Answers

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

Use quadratic formula to solve 16+8x+x^2=0​

Answers

Answer: x=-4

Step-by-step explanation:

This toy barn has floor dimensions of 2 in. by 3 in. The height of the roof is 0.5 in. If the volume of the barn is 16.5 in.3, what is the height of the rectangular prism section of the toy barn?

2 inches
2.5 inches
3 inches
3.5 inches

Answers

Answer:

2.5 inches

Step-by-step explanation:

woot

Answer:

2.5

Step-by-step explanation:

simplify -6/3 divided by 2/-9

Answers

Answer:

9

Step-by-step explanation:

Answer:

its 4 over 9 :)

Step-by-step explanation:

A package of 5 pairs of insulated gloves cost $39.45 what is the unit price of the pairs of gloves

Answers

Answer:

$7.89

Step-by-step explanation:

divide the cost by the amount


Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)

Answers

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

Answer:

f(- 2) = 2

Step-by-step explanation:

To evaluate f(- 2), substitute x = - 2 into f(x), that is

f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2

what is 1/2 of 6/7 ​

Answers

Answer:

3/7

Step-by-step explanation:

6/14 which equals 3/7

What’s the answer????

Answers

Answer:

It's so dark! There are some words I can't see.

What the slope of (19, -12) (5, 16)

Answers

Answer:

-1/2

Step-by-step explanation:

Slope is ∆y/∆x

i.e y2-y1/x2-x1

16-(-12)/(5-19)

28/-14

s = -2

What would the slope for this graph be?

Answers

Answer:

3/1

Step-by-step explanation:

you just start at the point where the line intersects the corner

write the ratio in the simplest form

Answers

Answer:

what's the ratio?

Step-by-step explanation:

Answer:

whats the ratio

Step-by-step explanation:

Helpppppppppppppppppppppppp pleaseeeeeeeeeee

Answers

Answer:

true

Step-by-step explanation:

Answer:

im just starting 6th grade sheeeeeesh

Step-by-step explanation:

if i were u i would just guess its ok to get 1 thing wrong :)

List two main differences between an expression and an equation

Answers

Answer

A expression is an number or a variable and a combination of numbers in variables and operation symbols. A equation is made up of two expressions or connected by an equal sign.

Step-by-step explanation:

-3 + 4b + 6 = 9+ 4b - 6
O infinitely many solutions
O one solution
Ob=3
no solution

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

-3 +4b+6=9+4b-6

subtract 4b on both sides( canceling equal terms on both sides)

calculate the sum:

-3+6=9-6

-3+6= 3

9-6=3

3=3

if i have 2 cookies but share 1/2 with my friends how many coookise i shared

Answers

Answer:

1 cookie

Step-by-step explanation:

2 times 1/2=1

How this works: Since your sharing 1/2, you technically sharing one half of 2 cookies. One half of 2 cookies is 1 cookie.

Answer:

1 coookise

Step-by-step explanation:

1/2 of 2 is 1

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?

Answers

Answer:

40%

Step-by-step explanation:

Number of girls = 7

Number of boys = 13

Total students = 7 girls + 13 boys

= 20 students

Running club

Number of girls = 5

Number of boys = 3

Total students in the running club = 5 girls + 3 boys

= 8 students

percentage of the students that are in the Running club = Total students in the running club / Total students

× 100

= 8/20 × 100

= 0.4 × 100

= 40%

Percentage of the students

at this Private School are in the Running club is 40%

Which inequality does the graph represent?


A. y −x − 3

B. y > −x − 3

C. y ≤ −x − 3

D. y ≥ −x − 3

Answers

y>-x-3 is going to be the answer. No lint under inequality symbol

Answer:

y > −x − 3

Step-by-step explanation:

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44

So the numbers are 44 and 46

1) Find f(g(x)) and
9(f(c)).
Given: f(x) = 5x; g(x) = x - 3
f(g(x))

Answers

Step-by-step explanation:

= f(g(x)) = g(f(x))

= f(x - 3) = g(5x)

= 5(x- 3) : 5x - 3

: 5x - 15

5y= 1/2x -10 find slope and y intercept.​

Answers

Answer:

Slope = 1/10

Y intercept = -2

Step-by-step explanation:

5y = 1/2x - 10

Divide both sides by 5

5y/5 = 1/2x - 10 /5

You will get y = 1/0x - 2

The x part is the slope and the whole number on the far right is the y intercept.

So the slope is 1/10

The y intercept = -2

You start at 1,0. You move left 1 unit. Where do you end?

Answers

Answer:

(1-1,0) = (0,0)

Step-by-step explanation:

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