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
OLEGan [10]
3 years ago
5

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vec

tor space axioms that fails. The set of all eighth-degree polynomials with the standard operations.
(A) The set is a vector space.
(B) The set is not a vector space because it is not closed under addition.
(C) The set is not a vector space because the associative property of addition is not satisfied
(D) The set is not a vector space because an additive inverse does not exist.
(E) The set is not a vector space because the distributive property of scalar multiplication is not satisfied.
Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Answer:

The answer to the question are

(B) The set is not a vector space because it is not closed under addition. and

(D) The set is not a vector space because an additive inverse does not exist.

Step-by-step explanation:

To be able to identify the possible things that can affect a possible vector space one would have to practice on several exercises.

The vector space axioms that failed are as follows

(B) The set is not a vector space because it is not closed under addition.

(2·x⁸ + 3·x) + (-2·x⁸ +x) = 4·x which is not an eighth degree polynomial

(D) The set is not a vector space because an additive inverse does not exist.

There is no eight degree polynomial  = 0

The axioms for real vector space are

  • Addition: Possibility of forming the sum  x+y which is in X from elements  x and y which are also in X
  • Inverse: Possibility of forming an inverse -x which is in X from an element x which is in X
  • Scalar multiplication: The possibility of forming multiplication between an element x in X and a real number c of which the product cx is also an element of X
You might be interested in
EASY POINTS! WILL GIVE BRAINLIEST!
quester [9]

The answer to this question would be 6 and the property would be the identity property

5 0
3 years ago
A bag contains 20 marbles: 12 red, 4 blue, 3 yellow, and 1 green. Arielle takes out 2 marbles. What is the probability that they
Marysya12 [62]

Total number of marbles in the bag =20

Number of blue marbles =4

Now we just want two blue marbles out of four.

Probability of taking out first marble which is blue =4/20

Now after we took out one blue marble , number of blue marbles left are 3.

Probability of taking out second marble which is blue =3/20

Total probability = 4/20 *3/20 = 12/400

So probability of taking out two blue marbles is 0.03 or 12/400.


3 0
3 years ago
Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify
bogdanovich [222]

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of rental for each truck in x hours.

From the table, for company A:

  • y = 0.59x + 29.95

For company B:

  • y = 0.79x + 19.95

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
Write a line that passes through each pair of point (0,5)(-3,5)
Anni [7]

Answer:

(5-5)/(-3-0)= 0/-3= 0

y - 5 = 0(x - 0)

y - 5 = 0

y = 5

4 0
3 years ago
Hey can you please help me posted picture of question
fredd [130]
The discriminant can be determined from the number of roots of the graph.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.

So the answer to this question is option C
8 0
3 years ago
Other questions:
  • Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re
    13·1 answer
  • Find the slope of the line <br> Make sure the answer is a reduced fraction<br> (4,7) (9, 10)
    10·2 answers
  • Which graph represents -3x + 5y = -15
    13·2 answers
  • Please help I'm really stuck!
    15·2 answers
  • What is 8.47 L x 10?
    12·1 answer
  • The marked price of a fan is Rs 1,620 and selling price is Rs 1,539. Find the discount amount.​
    10·1 answer
  • Solve -17 =<br> 7 / 3 for x.
    6·1 answer
  • Four coins are tossed several times. Which of the following represents the outcome on a coin that may not be fair?
    5·1 answer
  • Help picture below problem 19
    7·2 answers
  • What is the volume of a cylinder with a radius of 5 <br> and a height of 12
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!