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
Brums [2.3K]
3 years ago
15

Determine if the given set is a subspace of set of prime numbers P 3. Justify your answer. The set of all polynomials of the for

m p​(t)equalsat cubed​, where a is in set of real numbers R.
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

It is not a subspace.

Step-by-step explanation:

So, the polynomial degree of at most 3 is given below as;

V = { p (z) = b0 + b1z + b2z^ + ... + bnz^n. |n is less than or equal to 3 and b0, b1, b2,... are integers.

To determine whether a subset is a subspace of Pn, we have to check for the properties below;

(1). Zero vector property : that is, when polynomial, p(z) = 0 and 0 is an integer.

(2). Addition property= here, we have; p(z) + h(z) = (b0 + b1z + b2z^2 +....+ bnz^n) + ( c0 + c1z + c^2z^2 +... + cnz^n). That is the sum of integers.

(3). Scaler multiplication property: the coefficient here may not be real numbers therefore, the condition is not followed here.

Therefore, it is not a subspace of Pn.

You might be interested in
What is a equation for 11 5 and b
Phoenix [80]
Answer: i need more information in order to help
3 0
2 years ago
Helppp, graph of function!! ​
Debora [2.8K]
Yes I will help you but give me point then I will help you
3 0
2 years ago
Yesterday 116 vehicles went through Express Car Wash. Of these vehicles, 74 were minivans. Express the ratio of vehicles other t
riadik2000 [5.3K]
E. 74/116=0.637 hope this helps
5 0
3 years ago
A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what
liq [111]

Answer: 12.32%

Step-by-step explanation:

1. x is the original long side and y is the original short side.

2. The area of the original rectangle is xy.

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

\frac{104}{100}x=\frac{26}{25}x

4. And the new short side is:

\frac{108}{100}y=\frac{27}{25}y

5. The new area is:

(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy

6. The percentage of increase is calculated by substracting the new area and the original area:

\frac{702}{625}xy-xy=0.1232xy

7. The result is:

(0.1232)(100)=12.32%

3 0
3 years ago
No cap got a brain fart need help just gotta find x
VladimirAG [237]

Answer:

ok did you really just say brain fart I'm dying I cant stop laughing

4 0
3 years ago
Other questions:
  • Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 degrees counterclockwise about the
    7·1 answer
  • Given the equation 7x-6=5(x+4) solve for variable and explain each step and justify your process
    10·2 answers
  • Manuel needs to save more than $75 for a class trip. He already has $24 and
    5·1 answer
  • Help how do I solve this
    15·1 answer
  • Hey!<br> Question: <br> Simplify (16y^8)^3/4<br><br> Thanks for the help!
    15·1 answer
  • sam has 12 black-and-white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black-and
    11·1 answer
  • Add the two expressions 2x + 6 and 6x - 1 enter your answer in the Box. PLZ help
    11·2 answers
  • Can someone please help
    6·2 answers
  • A theater has three eight four seats each row has 16 seats how many rows of seats are there
    5·2 answers
  • The volume of a cylinder is given by the formula y = 72h, where r is the radius of the cylinder and h is the height
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!