1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir79 [104]
3 years ago
7

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

4 inches less than the height of the box. Write a polynomial that represents the volume of a box with height x inches.
Mathematics
1 answer:
maw [93]3 years ago
5 0

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

You might be interested in
a recent survey of 300 pet owners that have either cats or dogs reveals that two thirds are dog owners. if there are 20,000 regi
alexandr1967 [171]

40,000 Dog owners :3


7 0
3 years ago
A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)​
makkiz [27]
I think the answer is (2x - 9)(x - 5)
7 0
3 years ago
Solve the system of equations -x-2y=0 and -x+y=6 by combining the equations
Elden [556K]

Answer:

x=-4 and y=10

Step-by-step explanation:

Use the second equation to make y=x+6

sub y=x+6 into the first equation

-x-2*(x+6)=0

-x-2x-12=0

-3x-12=0

3x=-12

x=-4

Now sub x=-4 into the second equation

-(-4)+y=6

y=6+4

y=10

3 0
3 years ago
Find all solutions of the equation. (enter your answers as a comma-separated list.) x2 + 5x + 9 = 0
erik [133]
X,=-(5±✓25-36) ,/ 2

x={-5±✓-11)/2

x= -5/2 ± i✓11/2
4 0
3 years ago
In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per ho
Sphinxa [80]

Answer:

3700hours

154days

Step-by-step explanation:

Speed can be defined as the distance cover per time, it can be expressed as

Speed= distance/ time........eqn(1)

Given:

distance between two planets= 4.07×10^¹²

speed of light = 1.1×10^⁹ kilometres per hour

Time= ??

Then substitute the values into equation (1) we have

Speed= distance/ time

1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time

Cross multiply, we have

Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)

Time= 3700hours.

To convert to day, we know that

60 minute= 1hour

24hour=1day

Time= (3700hour×1day)/24hour

Time= 154days approximately.

Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours

7 0
3 years ago
Other questions:
  • Carlos is an architect. He wants to build a skyscraper and creates this model to help him plan. Carlos believes that the upper p
    9·1 answer
  • Write 10 feet and 4 yards as a fraction in simplest form
    8·1 answer
  • If the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right angle is 32 units long, then det
    12·2 answers
  • Four times a number minus five, is equal to three times a number plus three
    7·2 answers
  • What is a supplementary angle
    14·2 answers
  • A parallelogram has a base of 3.5 units and a corresponding height of 2 units What is the area (look at picture)
    12·2 answers
  • Jdudjdjdjkdjdkxkdjndjd
    6·1 answer
  • A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
    6·1 answer
  • (6 – 4i) (6 + 4i)<br> simplify using imaginary numbers
    7·1 answer
  • Can someone tell me the answer to this question please this is hard
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!