PLSSS HELP!!!! I offer 25 points!!

A box has a volume of 1008 cubic inches. Your friend told you that he found the polynomial that represents the volume of the box: 4x³-28x² +144x. If x is the height of the box how tall is the box?

Answers

Answer 1

Answer:

  7 inches tall

Step-by-step explanation:

A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...

  f(x) = 4x^3 -28x^2 +144x -1008

so f(x) = 0 gives the value of x that is of interest. That value is x=7.

The box is 7 inches tall.

_____

The equation f(x) = 0 can be divided by 4 to give ...

  x^3 -7x^2 +36x -252 = 0

This can be factored by grouping:

  (x^3 -7x^2) +(36x -252) = 0

  x^2(x -7) +36(x -7) = 0

  (x -7)(x^2 +36) = 0

The only real root is x = 7, which makes a factor zero.

_____

Additional comment

For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.

PLSSS HELP!!!! I Offer 25 Points!!A Box Has A Volume Of 1008 Cubic Inches. Your Friend Told You That

Related Questions

Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }

Answers

a. 3x - 6 = 4(2 - 3x) - 8x

⇛ 3x - 6 = 8 - 12x - 8x

⇛ 3x + 12x + 8x = 8 + 6

⇛ 23x = 14

⇛ x = 14/23

b. 1/2z + 6 = 3/2(z + 6)

⇛1/2z + 6 = 3/2z + 9

⇛ 1/2z - 3/2z = 9 - 6

⇛ -z = 3

⇛z = -3

c. 9 - 7w = 8w + 8

⇛ - 7w - 8w = 8 - 9

⇛ -15w = -1

⇛ w = 1/15

31X +3-65X -33-75-10 X

Answers

Answer:

-44x - 105

Step-by-step explanation:

1) Add the numbers

3 1 − 1 0 5 − 6 5 − 1 0

2) Combine like terms

-44x - 105

I don’t know what the answer Is

Answers

Answer:

Exact Form: x = 10/7

                                 ______

Decimal Form: x = 1.428571

Mixed Number Form: x = 1 3/7

Hope this helps, have a nice day/night! :D

If this helped please mark this as brainliest!

Answer:

In the picture

Step-by-step explanation:

Good luck!

onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?

Answers

Hot dogs are $2.50 and drinks are $2.00

There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk

Answers

The answer is 240 miles. 3(4)(20) = 240

All the peoples in a group walk 240 miles.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 4 groups of 20 peoples.

And, Each person walk 3 miles.

Now,

Since, There are 4 groups of 20 peoples.

So, Total number of peoples in 4 groups = 4 x 20

                                                               = 80

And,  Each person walk 3 miles.

So, The distance cover by 80 peoples = 80 x 3

                                                           = 240 miles.

Thus, All the peoples in a group walk 240 miles.

Learn more about the multiplication visit;

https://brainly.com/question/2811940

#SPJ2

What value does the 4 represent in number 487.009

Answers

Answer:

400

cause 4 is in the hundreds column

Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho ​

Answers

Answer:

english?

Step-by-step explanation:

reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.


Given:

A

B





C

D



AB



CD

and

B

C





A

D



.

BC



AD

.


Prove:

A

C



AC

bisects

B

D



BD

.

Answers

Answer: a

Step-by-step explanation:

how do i find the x and y intercepts of y=2x^2+x-3

Answers

The y intercept for this equation is:
y=-3
Solve the equation: y=2x0^2+0-3

The x intercept for this equation is:
x=-3/2 (x=1)
Have a great day/night

if you add -10 to 4 times the mystery number you get 0 what is the mystery number?

Answers

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

The volume of this rectangular prism is 80 cm (small number 3) Use the volume formula to determine the height of this prism.​

Answers

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation:

BRAINLIEST
Please help me do these

Answers

Answer:

1.

a. YU, ZV, WS

b. VU, WX, ST

c. ZW

d. WXY

e. TSW

f. VU, TU, ZY, XY

g. VS, WS, ZV, XW, YZ, ZW

2.

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

Step-by-step explanation:

In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 students. The number of possible different groups is ______________________.

Answers

Answer:

10.25

Step-by-step explanation:

You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25

Write in index form

5 x 5 x 5

Answers

The index form of a number is that number written as an exponential expression that show how many times a number has been multiplied by itself

Explain relative dating and its relationship to the Law of Superposition

Answers

Answer:

its b i took the test

Step-by-step explanation:

its b

convert into precent...
convert 0.(6) as a precent the parenthesis mean something

Answers

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

60% but usually if something is in parentheses it’s multiplication so it could be 36% aswell

What is the solution to this equation?

Answers

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

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

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

A rectangle has the area of 60in2 . What can be its dimensions? Copy and fill in the chart.

Answers

Answer:

The dimensions can be 6 inches by 10 inches

Solve for the variable in the following proportion.

1/4 is to 1 1/4 as 2 is to b
B =

Can someone give an explanation?

Answers

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

HELPPPPP!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think b im not too sure

Step-by-step explanation:

Answer:

C  8

Step-by-step explanation:

3 apples/2 oranges = 12 apples/x

3/2 = 12/x

3x = 24

x = 8 oranges


What are the coordinates of the vertex for the function shown below ?

Answers

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

Solve the System of Equations
3x^2-5y^2= 22
2x^2+4y^2 = 22

Answers

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

help! Scroll to see image!

Answers

mhorn seems to be correct

Step-by-step explanation:

yshahaa

angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship

Answers

Answer:

it's angle not angel.

Step-by-step explanation:

All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220

Answers

Answer:

1225

350/2=175

175 x 7 = 1225

find the slope and write the equation of the line that passes through the given points (5,6) and (3, 4)

Answers

Answer:

y=X +1

……. M=1

What is the perimeter of PQR? Show your work.​

Answers

Answer:

They are similar triangles so the sides are equal

3y-2=y+4

2y=6

y=3

so we can insert y=3 to calculate the side length

3y-2=3*3-2=7=PR side

calculate the perimeter:

4+6+7=17ft

Step-by-step explanation:

Add the lengths.of all sides together

4+6+(3y-2)

= 4+6+3y-2

=8+3y ft

Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%

Answers

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = X

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

56 = 100 16 = X 16 x 100/56 = X 28.57 = X

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Learn more in https://brainly.com/question/17592236

Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Louisa is 5 feet 4 inches tall.
How tall is she in inches?

Answers

Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

Hope this helps! Please rate it and press the heart button! Thanks!

Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

I need help with this one question, please show work on paper or text, thank you

Answers

answer :243

this should be helpful

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