What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8

What Is The Standard Form Polynomial Representing The Volume Of This Shipping Container?6x + 154x + 3xx

Answers

Answer 1

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Answer 2

Answer:

V = 24x^5+78x^4-147x^3-624x^2-360x


Related Questions

How many solutions does y=-x^2-4x+7 have

Answers

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

A car travels 100 meters in 5 seconds. Whats is the speed of the car

Answers

Answer:

20m/s

Step-by-step explanation:

[tex]Speed=Distance\div Time[/tex]

[tex]Speed=100m \div 5s[/tex]

[tex]Speed = 20m/s[/tex]

____________________ A letter that represents one or more numbers. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

The answer is a Variable

Step-by-step explanation:

In algebra, symbols (usually letters) are used to represent numbers. To solve math problems, you should know what variables and constants are. Here is an introduction to the terms variables and constants. A variable is a letter or symbol used as a placeholder for an unknown value.

I hope this helps you :)

Simplify the expression. Write your answer as a complex number.

2 times the square root of 25 plus the square root of negative 16

Answers

Answer:

d

Step-by-step explanation:

is the product of two rational numbers always a rational number?

Answers

Answer:

Yes, it's always rational.

Step-by-step explanation:

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

1. Evaluate f(x) = 3x - 1 at f(2) 2. Evaluate f(x) at f(-5) -6 f(x) 3 4 -5 -4 -5 3 3 Evaluate f(x) at (0)​

Answers

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Jill made 20 muffins. She puts them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?​

Answers

Answer:

it would be 6 muffins each and muffins sounds so good right now TwT

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20-2=18

18÷3=6

Therefore there are 6 muffins in each box

What value of q satisfies this equation?
59 + 5q = 159 - 11

Answers

Answer:

0,454

Step-by-step explanation:

= 59 + 5q = 159q - 11

= 5q - 159q = 11 + 59

= 154q = 70

= q = 70 : 154

= q = 0,454

Answer:

89/5 or 17.8

Step-by-step explanation:

   

P Mar
1 The table shows pairs of figures that are related to each other in the same way.
Figure 1 Figure 2
Oo
Which conjecture best describes how the second figure in each set is related to the first?
A) Figure 2 is always a horizontal reflection of Figure 1.
B) Figure 2 is always a vertical reflection of Figure 1.
C) Figure 2 is always a 90° clockwise rotation of Figure 1.
D) Figure 2 is always a 180° rotation of Figure 1.

Answers

Is that all the answer choices ? Becaus e

What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?

Answers

Answer:forcing someone to stay in the world they dont wanna be in

Step-by-step explanation:

Forcing someone to stay in a world they are unhappy in.

HELPPP PLEASE!!!
The store has 61 guppies divided into 8 aquarium tanks, and a small display aquarium on
the sales counter. Each of the 8 tanks has an even number in them with the remaining
guppies in the display aquarium. How many guppies are in each aquarium and in the
display aquarium?

Answers

Answer:

5 in display, 7 in each aquarium.

Step-by-step explanation:

What are the values of a and b on the number line?

Answers

Answer:

B is the answer

Step-by-step explanation:

Point O is between points Mand N on line segment MN. O is the midpoint of line segment MN if
ON = NM
OM = NM
ON + OM = MN
ON = OM

Answers

Diagram:
M------------O-------------N
................. ^ midpoint
Obviously if O is the *mid*point, then it is exactly halfway between M and N. That also means it has bisected the segment into two equal parts.
On one side you have MO (or OM, if you like)
On the other side you have ON.
In order for O to be the midpoint:
ON = OM

What is the slope of the equation: y = -3x +7

Answers

The slope of the equation is -3.

You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches and a nap thickness of 1/4 inch, as shown

Answers

Answer:

21.38 square inches

Step-by-step explanation:

Given that You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches as diameter and a nap thickness of 1/4 inch, as shown

The nap is the fuzzy materials on the surface roller. How much area does the roller cover in one full revelation

The parameters to be considered are:

Diameter = 15/8 inches

Thickness = 1/4 inches

After one revolution rolling, the dimensions of the length will be:

L = 1/4 + 15/8 + 1/4

L = 19/8 inches.

Let the width be equal to 9 inches

The area covered = L × W

Substitute L and W into the formula

Area = 19/8 × 9

Area = 21.38 square inches

Therefore, the area covered by the roller in one full revelation is 21.38 square inches

What does an arrow as an endpoint
imply for a function? How does it
effect your domain and range?
I

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

It menas that it keeps going.

Step-by-step explanation:

If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.

<-                              ->

10 less than ten      10, more than ten.

-28 + 2x = -18 what is x?

Answers

Answer: x=5

Step-by-step explanation:

To solve for x, we want to use algebraic properties to isolate x.

-28+2x=-18        [add both sides by 28]

2x=10                 [divide both sides by 2]

x=5

Now, we know that x=5.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 28 + 2x = - 18 }[/tex]

[tex] \tt{Step \: 1}[/tex] : Move 28 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{2x = - 18 + 28}}[/tex]

[tex] \tt{Step \:2}[/tex] : Subtract 18 from 28

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \hookrightarrow{ \sf{2x = 10}}[/tex]

[tex] \tt{Step \: 3}[/tex] Divide both sides by 2

[tex] \hookrightarrow{ \sf{ \frac{2x}{2} = \frac{10}{2}}} [/tex]

[tex] \tt{Step \: 4}[/tex] Calculate

[tex] \hookrightarrow{ \sf{x = 5}}[/tex]

[tex] \tt{∴ \: The \: value \: of \: x \: is \: \bold{5}}[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

as a fraction:
(i) 48%
(ii) 220%
(iii) 2.5%

Answers

Answer:

48% = 48/ 100 = 12/25220% = 220/100=11/52.5% = 25/1000 = 1/40
Given Percentage:

i. 48%

ii. 220%

iii. 2.5%

To Convert:

The given percentage into fractions.

Answer:

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

The GCF of 24 and 32 is...

Answers

Answer:

The GCF is 8 there is your anwser

Which Angel number supplementary to angel to AED

Answers

Answer:

Angle number 5

Step-by-step explanation:

The sum of supplementary angles equal 180°.

Angle AED, in the diagram given is labelled angle 4.

The angle labelled 4 forms a linear pair with the angle labelled 5.

Since a linear pair of angles = 180°, therefore:

m<AED + m<AEI = 180°.

That is:

m<4 + m<5 = 180°.

Both angles are supplementary.

Therefore, angle number 5 is supplementary to angle AED.

-4(4x + 4) + 7(1 + 9x)

Answers

Answer:

47x - 9

Step-by-step explanation:

-4(4x + 4) + 7(1 + 9x)

-16x -16 + 7 + 63x

47x -9

You can find what x = because there is no = sign. This is in simplest form.

Answer:

47x -9

Step-by-step explanation:

[tex]-4(4x + 4) + 7(1 + 9x)\\\\\mathrm{Expand}\:-4\left(4x+4\right):\quad -16x-16\\=-16x-16+7\left(1+9x\right)\\\\\mathrm{Expand}\:7\left(1+9x\right):\quad 7+63x\\=-16x-16+7+63x\\\\\mathrm{Simplify}\:-16x-16+7+63x:\\\quad 47x-9[/tex]

Please i need help thank you

Answers

It’s the three one down. y= -1/2x + 5

This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!

Answers

Answer:35

120-85=35

120>85

What is 18=3(3x-6) algebra 1

Answers

Answer:

x=4 i believe

Step-by-step explanation:

1st.      move terms

       -3x+6=-6

2nd.      calculate the difference

       -3x=-12

3rd.     divide both side to get x alone

      x= 4

The price of an item has been reduced by 55%. The original price was $53. what is the price now

Answers

Answer:

$29.15

Step-by-step explanation:

Step 1:

$53 × 55%

Step 2:

53 × 0.53

Answer:

29.15

Hope This Helps :)

HELP ME PLEASE I NEED THIS and tell me how to solve for it

Answers

Answer:

616.6 square cm

Step-by-step explanation:

Area of a regular octagon

[tex] = 2 {a}^{2} (1 + \sqrt{2} ) \\ = 2 \times {12}^{2} (1 + 1.414) \\ = 2 \times 144 \times 2.141 \\ = 288 \times 2.141 \\ = 616.608 \\ = 616.6 \: {cm}^{2} [/tex]

616.6 cm square is the answer

The density of a substance can be found by dividing the mass of the substance by the volume of the substance. A sheet of pure iron has a mass of 500 grams and a volume of 4 in3. Write an equation of the form m=dv, where m represents the mass of a sheet of iron in grams, v represents the volume of a sheet of iron in cubic inches, and d is a constant, the density of iron in grams per cubic inch

Answers

Answer:

D=375g/cubic inch

Step-by-step explanation:

D=500 divided by 4/3

Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

WILL MARK BRAINLIEST NEED IT ASAP

Answers

Answer:

8

Step-by-step explanation:

6 x 9=54. 54+10=64. the square root of 64 = 8

Answer:

ANSWER IS 8

Step-by-step explanation:

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