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
earnstyle [38]
3 years ago
5

Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

You might be interested in
3x+10=4x+10 what is the answer?
ValentinkaMS [17]

Answer:

x is 0.

Step-by-step explanation:

 Subtract both sides by 3x. Then, you will have 10= x+10. Subtract 10 on both sides to isolate x, then you will have x=0. Therefore, this equation on both sides has a solution of 0. Hope this helps!

4 0
3 years ago
Read 2 more answers
i need help with this if you help me i will mark you as brainliest if its right please dont put the answer in a file
STatiana [176]

Answer:

more than 7

Step-by-step explanation:

4+3 = 7

)sorry if i was wrong(

5 0
3 years ago
Read 2 more answers
A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 10 inches wide and 1
kupik [55]

Answer:

Domain of the function is  { x : x∈R, x>0 } or (0,∞).

Step-by-step explanation:

It is given that the dimensions of a rectangular piece of cardboard are

Length = 14 inch

Width = 10 inch

The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are

Length = 14-2x inch

Breadth = 10- 2x inch

Height = x inch

The volume of cuboid box is

V=length\times breadth \times height

The volume function of the box is

V=(14-2x)\times (10-2x)\times x

V=(14-2x)(10-2x)x

The volume function is V=(14-2x)(10-2x)x.

It is a polynomial function and domain of a polynomial function is all real numbers.

Here, x represents the height of the box. So, value of x must be a positive real number.

Domain of the function is

Domain = { x : x∈R, x>0 }

It can be written as (0,∞).

Therefore, domain of the function is  { x : x∈R, x>0 } or (0,∞).

5 0
3 years ago
What is the radius of the circle with this equation of (x-5)2+(y+7)2=8
AysviL [449]

Answer:

2√2

Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2

(x - 5)^2 + (y + 7)^2=8

Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2

3 0
3 years ago
Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)
LiRa [457]
This is a division of polynomials

   8x^3              - 28x + 61    | 2x + 5
                                             -----------------------
- 8x^3 - 20x^2                       4x^2 - 10x + 11x
---------------------------------
0         - 20x^2 - 28x + 61
           +20x^2 +50x
           ------------------------
                 0    +22x  +61
                       -22x   -55
                      ----------------
                                    6

Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:

4x^2 - 10x + 11x + [ 6/ ( 2x + 5) 



8 0
3 years ago
Read 2 more answers
Other questions:
  • If you have 49 questions on a test what score must you get to pass the test?​
    15·1 answer
  • How do you solve 8(2m+1) ?
    9·2 answers
  • A customer works into a post office to purchase stamps. she purchases a total of 45 stamps. some of the stamps are 49cent stamps
    10·1 answer
  • please someone give me the measurements of all angles 1 2 3 and 4 with reasoning ASAP thank you in advance​
    14·2 answers
  • Plz do it for meee x
    11·2 answers
  • What is c ? <br><br> enter the answer in the box
    10·1 answer
  • hey free brainliest and points yall wanna talk also whats 5,000 - 346 + 2,000 divided by 24? plz help
    9·1 answer
  • last week the game system was $450. This week the system is on sale for $337.50. By what percent is the price reduced?
    7·1 answer
  • !!!!please need help on this asap
    7·1 answer
  • Write an expression, using an exponent, that is equivalent <br> 9×9×9×9×9×9×9.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!