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
lubasha [3.4K]
3 years ago
5

Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j2 + 3j – 28 = 0. A. 3 B. 2

C. 0 D. 1
Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

C. 0

Step-by-step explanation:

–4j^2 + 3j – 28 = 0

The discriminant is b^2-4ac  if >0 we have 2 real solutions

                                                   =0  we have 1 real solutions

                                                   <0 we have 2 imaginary solutions

a = -4, b =3  c = -28

b^2 -4ac

(3)^2 - 4(-4)*(-28)

9 - 16(28)

9 -448

This will be negative so we have two imaginary solutions.

Therefore we have 0 real solutions

You might be interested in
HELP PLEASE ASAP! Tell how you found 2k + 10! 20 points!
Ivan

Answer:

2(k+5)

Step-by-step explanation:

Factor 2k+10

2k+10

=2(k+5)

Answer:

2(k+5)

8 0
3 years ago
In addition, what is the inverse
insens350 [35]

Answer:

it is

-3/7=3/7

brainliest s

if u want

5 0
2 years ago
A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental
aksik [14]
The answer is 17%.. I think
5 0
3 years ago
Read 2 more answers
Evaluate −x^2−5 y^3 when x = 4 and y = 1
Natali [406]

Answer:

Simplify:

-4^2-5(1^3)

So you get:

-21\\

4 0
3 years ago
Read 2 more answers
(a) Let R = {(a,b): a² + 3b &lt;= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Other questions:
  • Which of the following phrases are inequalities?Choose 2 answers: A. (8 + f)(8 - f) &gt; 36
    10·1 answer
  • What is the apparent solution to the system of equations? y=−x+2y=4x+7 Graph the system of equations using the Line tool. Plot a
    11·1 answer
  • ARST was
    5·2 answers
  • How do u reduce 60/72
    11·1 answer
  • _______ + 8r2s4 – 3r3s3
    14·1 answer
  • Which of the following explains why f(x) = log x
    6·1 answer
  • A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
    13·2 answers
  • The Box is being packed without gaps or overlaps with unit cubes​
    8·1 answer
  • Decide whether the following scenario is an observational,
    9·1 answer
  • A lawn mower company wants to show how much time a homeowner can save by using a ride-on lawn mower instead of a push lawn mower
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!