The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm, which of the following can represent the length and width of the container?

2x + 1 and x + 3
2x + 1 and x − 3
2x − 1 and x + 3
2x − 1 and x − 3

Answers

Answer 1

The factors which can represent the length and width of the container are; 2x − 1 and x + 3.

The Volume of a rectangular prism is a three-dimensional quantity and is the product of its length, width and height.

In essence;

Volume = l × w × h.

However, V = 2x3 + 5x2 − 3x and height, h = x.

Therefore; V/h = l × w

l × w = (2x³ + 5x² - 3x)/x

l × w = 2x² + 5x -3.

l × w = (2x − 1) (x + 3)

Consequently, the factors which can represent the length and width of the container are; 2x − 1 and x + 3.

Read more;

https://brainly.com/question/15681119


Related Questions

find the value of 5 root upto three decimal places​

Answers

Answer:

√5 = 2.236.

Hence the value of root 5 up to 3 decimal places is 2.236.

√5 = 2.23607

Hope you’re having a positive day ❤️

PLEASE HELP ME WITH THIS PROBLEM

Answers

The third option is the correct answer

Draw the following triangle after a translation 2 units to the left and 1 unit down.

Answers

maya kana mag module ml na muna tayo par

Twice the larger of two consecutive integers is equal to fifteen less than three times the smaller. Find the
two integers.

Answers

Answer:

Step-by-step explanation:

2*x = 3(x - 1)-15           Remove the brackets

The larger of two consecutive integers is x

The smaller of two consecutive integers is x - 1

2x = 3x - 3 - 15              Combine the right

2x = 3x - 18                   Subtract 3x from both sides

2x - 3x = 3x-3x - 18       Combine

-x = - 18                         Multiply by - 1

x = 18

x - 1 = 17

Can someone help me do the long division of this please

Its

P-4 divided by 10p^3-45p^2+26p-33

Answers

Answer:

[tex]10p {}^{2} - 5p + 6 + \frac{ - 9}{p - 4} [/tex]

Step-by-step explanation:

10p²-5p+6

p-4√10p³-45p²+26p-33

- 10p³-40p²

-5p²+26p

- -5p²+20p

6p-33

- 6p-24

-9

4. (2 x 10-2) Standard form of given is ----
a. 8 x103
b. 8 x104
c. 8 x10-5
d. 8x106

Answers

Answer:

The choice d.

[tex]8 \times {10}^{ - 6} [/tex]

I hope I helped you^_^

Please help I’m stuck
-a + 3y

Answers

Answer:

-a + 3y = -a + 3y

Because they have no match !

Step-by-step explanation:

Hope it's help you !!

A red food coloring recipe says, "Mix `4` tbsp raspberry juice with `3` tbsp strawberry juice and `2` tbsp water."



Kiran wants to make `45` tbsp of red food coloring. He has plenty of water, but he only has `24` tbsp of raspberry juice and `21` tbsp of strawberry juice.



What is the most food coloring Kiran can make using the ingredients he has?

Answers

Answer: he gets 45 through multiplying the original ratio by 5 which gets 10+20+15=45. hope this helps

Step-by-step explanation:

Please answer these easy

Answers

Step-by-step explanation:

3. y = 4x + 8

4. y = 1/2x

5. y = 2x + 8

6. y = 4x

hope this helps

Answer:

Really hope this helps!

Step-by-step explanation:

3. y = 4x + 8

4. y = 1/2x

5. y = 2x + 8

6. y = 4x

What’s 2+2?!?!?!?????

Answers

Answer:

we have 22, 4, 4-2, or let me put in the hard way cause is fun:

2+2 is same as 2 to the power of 2 like 2 time itself twice, such as 2x2 or you can written as 2(2) and the answer would be 4

Step-by-step explanation:

HELP!


Aiden has a gross income of $63,000 and takes the standard deduction. Their total taxes due are $6,922.

Answers

Step-by-step explanation:

So it's really easy if you read it carefully, the only thing you need to do is 63,000 - 6,922 = _____ and that's it hope it helps

8 pencils for $0.99
If you actually answer this thank you so much

Answers

Answer:

$7.92

Step-by-step explanation:

8 * 0.99

= $7.92

Feel free to mark this as brainliest! :D

Find the 16th term of the sequence defined by the explicit rule. Assume that the domain of the function is
the set of whole numbers greater than 0.
f(n)=9n - 8
The 16th term of the sequence defined by f (n)=9n – 8 is

Answers

Answer:

136

Step-by-step explanation:

The function is given:

f(n) = 9n - 8

Find the value of f when n = 16:

f(16) = 9*16 - 8 = 136

Find the equation of the line that is parallel toy=32x−5
y
=
3
2
x

5
and passes through the point (2,4).

Answers

Answer:

d/dx ( 32x - 5)

Step-by-step explanation:

i think this is right please tell me if its not

Which of the following points is a solution of the system shown? x + y ≥ 6 x ≥ 4

Answers

Do you have a picture of the question so i can see the graph , to answer the question for you?

HELP PLEASE I NEED A BETTER GRADEEEE

Answers

Answer:

3x + 7

Step-by-step explanation:

1. A coefficient is a number that is multiplied by a variable. For example, the coefficient of 5x would be 5.

2. A constant is a fixed value; it's a number that has a value which is known and usually stands alone.

3. Given the information above, 3x + 7 has a coefficient of 3 and a constant of 7.

Therefore, the answer is 3x + 7.

Answer:

3x + 7

Step-by-step explanation:

Coeffiecients are the numbers that come before a variable. The variable in this question is x, so you should look for the choice with 3x.

Constants are numbers that are on its own in any equation.

So your answer is 3x + 7.

Hope this helps!

Can you show how to do this

Answers

Answer:

3

Step-by-step explanation:

You use a method called KCF (Keep, change, flip), which means that you keep the first fraction, change the division sign to a multiplication sign, and flip the fraction of 3/4 to 4/3. After that you can just multiply [tex]\frac{9}{4}[/tex] into [tex]\frac{4}{3\\}[/tex] which gives you [tex]\frac{36}{12}[/tex] and can be simplified to give you 3.

Answer:

3

Step-by-step explanation:

keep change flip

keep 9/4

change the divide symbol to a multiplication symbol

flip 3/4 to 4/3

work:

9            4

__   X   __

4            3

36

___   =    3

12

HELP PLZ IM GIVING 25 BRAIN:EIST PLZZZ

Answers

Answer:

2km

Step-by-step explanation:

Distance = Speed ÷ Time

Distance = 3 ÷ 1.5 (as 1 hour and 30 minutes is an hour and a half)

Distance = 2km

Answer:

4.5 km

Step-by-step explanation:

it takes an hour to walk 3. 1 hour is 60 minutes cut that in half to get 30, so you have to cut the 3 in half as well. which is 1.5. add 3 and 1.5 to get your answer 4.5

Find the distance between the points ( – 10,6) and (14,6).

Answers

Answer:

I would say 4

Step-by-step explanation:

10,6

14,6

04,0

Answer: 4

Step-by-step explanation:

3. A seed company says that 4 out of every 5 of its seeds grow. If Nat
planted 10 of the seeds, how many can he expects to grow?'
O A. 6
O B.7
O C. 8
O 0.9

Answers

Answer:

C

Step-by-step explanation:

The answer is C. 8 sorry if its wrong

Answer:

C. 8

Step-by-step explanation:

4 out of every five seeds will grow means 4/5 of them will grow. 10 is times two of 5 so just multiply both numbers by 2. 4/5 times 2 equals 8/10. Eight will grow.

Figure A′B′C′D′ below is a dilation of Figure ABCD.

What scale factor was used to create Figure A′B′C′D′?

A. 1/3
B. 3/5
C. 3
D. 10
100 POINT QUESTION

Answers

Answer:

ccccccccccccccccccccccccc

trên tập số thực R ,xét quan hệ xRỵ khi và chỉ khi x ^ 2 = y ^ 2


a) Chứng minh rằng R là một quan hệ tương đương trên R.


b) Mô tả lớp tương đương của một phần tử a bắt kì, từ đó mô tả tập thương R /R.

Answers

trên tập số thực R ,xét quan hệ xRỵ khi và chỉ khi x ^ 2 = y ^ 2

a) Chứng minh rằng R là một quan hệ tương đương trên R.

b) Mô tả lớp tương đương của một phần tử a bắt kì, từ đó mô tả tập thương R /R.

do you guys know the answer to this ?

Answers

✳︎         ✳︎         ✳︎          ✳︎         ✳︎            ✳︎      ✳︎           ✳︎          ✳︎             ✳︎          ✳︎

Hello There! :)             ✿                  ✿             ✿            

20-w³ when w=4            ✦         ✦            ✦                  ✦                ✦             ✦

20-(4)³

20-64

-44

[tex]GraceRosalia[/tex]

Step-by-step explanation:

please mark me as brainlest

What is the probability of rolling a 6-sided die and getting a 2 or an odd
number?

Answers

Answer:  4

Step-by-step explanation:

When we roll a 6-sided dis , the total possible of outcomes : 1, 2, 3, 4, 5, 6

Thus , the total number of outcomes =6

The favorable outcomes: 2, 1, 3 , 5

Thus , the number of favorable outcomes = 4

Does this help?

2x + y = 18

complete the table

Answers

Answer:

x          y

9         0

8         2

5         8

Step-by-step explanation:

(9, 0) , (8, 2) , and (5, 8) --> all three points satisfy the equation 2x + y = 18.

Answer:

Plug the equation into a graphing calculator, and you'll get these:

(9, 0) , (8, 2) , and (5, 8)

The bells are adding a new room to their house. The room will be a cube with volume of 4,913 feet cubed. They are going to put in hardwood floors, and the contractor charged $10 per square foot. How much will the j hardwood floors cost?

Answers

Answer:

$ 2,890

Step-by-step explanation:

Volume of a cube = width x length height

Cubic root of 4913 = 17 feet

Area of the floor = 17 x 17 = 289

289 x 10 = $2,890

If f(x) = 2x and g(x) = 5x + 2, what is (f – g)(x) when x = 3

Answers

Answer:

[tex]f - g = \\ 2x - (5x + 2) = \\ 2x - 5x - 2 = \\ - 3x - 2 = \\ - 3 \times 3 - 2 = \\ - 9 - 2 = - 11[/tex]

I am a quadrilateral with two pairs of opposite sides parallel and congruent. my only opposite angles are congruent. the sum of my two consecutive angles on same side is 180°. I am?​

Answers

Answer:

a parallelogram

Step-by-step explanation:

could also be more specific such as a rectangle or even more specific as a square.

the statement "the sum of my two consecutive angles on same side is 180°" is redundant as we are already told we have two pairs of parallel and congruent sides

What is the area of this shape?

Answers

Answer:

235 cm^2

Step-by-step explanation:

First you should divide this shape into to rectangles or squares. Then you can easily find the area.

20-11=9

We have a rectangle and a square.

(11*14) + (9*9)

Answer:

A = 235 cm²

Step-by-step explanation:

The figure is composed of 2 rectangles.

main rectangle has dimensions length = 20 cm , breadth = 9 cm

The attached rectangle , on top has dimensions

length = 11 cm , breadth = 14 - 9 = 5 cm

Total area (A) is the sum of the areas of the 2 rectangles

A = (20 × 9) + (11 × 5) = 180 + 55 = 235 cm²

9x^2(y^5)/3xy^7 simplify

Answers

Answer:

( 9x^2y^5 /3  x)(y^7)

=3x^3y^12

Other Questions
a shortcoming of the articles of confederation was that it couldnt enforce the states to comply with the laws it established. true or false? Cereal crops - eg simple question free The measure of an exterior angle at C of isosceles triangle ABC is 110 degrees. If AC = BC, fine the measure of each angle of the triangle. A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters 1. Which answer choice best describes an exponent? (Circle the correct letter.)A. It is a number with 2 factors.B. It is a number that is to be multiplied by the base number.C. It is a number that tells how many equal factors there are.D. It is a common factor to both numbers involved.Which one 8. I contain pigments to capture light energy.O ChloroplastO MitochondriaO I Both chloroplasts and mitochondria High School: Grade 8 MathActivity 1: Object's Position Description: This activity will enable you to give the coordinates of the point where the object is located. Direction: Describe the location of each point below by the completing the following table. An example is done for you.Object:Example:Ball1. Spoon2. Television Set3. Laptop4. Bag5. Pillow6. Camera7. TableCoordinates:Example: (4,2)1.2.3.4.5.6.7.Quadrant/AxisExample: |1. 2.3.4.5.6.7. 1. He showed us his new car. Il ___ a montr sa nouvelle voiture.vouste (t')me (m')nousleurlui2. I sent her flowers. Je ___ ai envoy des fleurs.Group of answer choicesnouste (t')leurvousme (m')lui3. Santa gives them presents. Pre Nol ___ donne des cadeaux.Group of answer choicesnousleurte (t')vousme (m')lui4. Mom brings me lunch. Maman ___ apporte le djeuner.Group of answer choiceste (t')luivousme (m')leurnous5. The teacher asks you all questions. Le professeur ___ pose des questions.Group of answer choiceste (t')vousluime (m')leurnous I will mark brainlist please help1) What is the concentration of a solution that contains 6 moles of solute in 2 liters of solution 6M 12M 7M 3M2) what is the number of moles of solute in 250 mL of a 0.4M solution? 0.1 mol 0.16 mol 0.62 mol 1.6 mol 3) the molality of a solution containing 8.1 moles of solute in 4847 g of solvent is 39m 1.7m 0.17m 598m4) which of the following is unchanged when a solution is diluted by addition of solvent? volume of solvent mass of solvent number of moles of solute molarity of solution 9s4t3w 36s2t5 simplify as a single fraction I NEED HELP PLEASE LIKE!!!! 19) The supplement of an angle is 24 more thanthe angle. What is the measure of the angle?1) 7.50 2) 663) 784) 33 French colonists exploited the Vietnamese land and people. What does ""to exploit"" mean? in early 1828 why did sojourner truth appear in front of the grand jury of kingston New York Will give brainliest and max points If the density of copper is 8.96 g/cm3, and the mass of a sample is 5.00 g, what is the volume of the copper? Craig has a lot of reasons for wanting to start his own business. What is the main reason why he believes hes ready to turn his side job into a full-scale business? Multiple Choice He is passionate about landscaping. He has been able to grow his client base steadily just by word of mouth. His wife knows how to build a website. He is tired of his corporate job. Simplify -2x^2 - 2y^2 - 2z^2 + 5x^2 - 2y - 4x please help me ill give brainlist to you Piecewise function, evaluate f(1)F(x)={6x+4 x=-3 Translate the sentence into an equation: The perimeter of a regular pentagon is 5 times the length of each side.P=s+s+s+sP=s+s+sP=5s5P=s