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
Citrus2011 [14]
3 years ago
14

Which of the following polynomials has solutions that are not real numbers?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Nataly [62]3 years ago
6 0
I maybe totally wrong but i want to say either A or C. A nonreal number is any number that when multiplied by itseld produces a negative number.
You might be interested in
Find the missing angle:
sergey [27]

Answer:

40

Step-by-step explanation:

Going from left to right

We need to find the angle from the first triangle

The sum of the angles of a triangle is 180

80+25+x = 180

Combine like terms

105+ x = 180

Subtract 105 from each side

105-105+x = 180-105

x = 75

Then we have 3 angles that make a straight line and a straight line is 180

x + 50 + y = 180

75+ 50 + y = 180

Combine like terms

125 + y = 180

Subtract 125 from each side

125-125+y = 180-125

y = 55

We now have the triangle on the right

The angles add to 180

55+85+ ? = 180

Combine like terms

140+ ? = 180

Subtract 140 from each side

140+?  - 140 = 180-140

? = 40

4 0
3 years ago
Each car on the lot at a car dealership has 4 tires and 2 headlights. Which pair correctly describes tires and headlights?
ira [324]

Answer: 4 : 2

Step-by-step explanation:

I am going to assume you want a ratio between number of tires to headlights which is

4 : 2

4 0
1 year ago
Read 2 more answers
To make sure the lobsters are cool but not frozen, you need to keep their temperature between 32 and 40 degrees Fahrenheit while
MaRussiya [10]

C=5/9(F-32) 5/9 =1.8 32-32= 0* 1.8 = 0 32F= 0Celsius 40-32=8* 14.4 40F= 14.4 CTemperature between 0-14 degrees Celsius

5 0
3 years ago
F(x)=4x-5, find f(-2)
GenaCL600 [577]

Answer:

The answer is -13.

Step-by-step explanation:

=4×(-2)-5

=-8-5

=-13

The value of (-2) is -13.

4 0
3 years ago
When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
3 years ago
Other questions:
  • 2x-5/5 +x-2=3(x+5). Find the value of x?
    12·1 answer
  • What equals 106 multiplication
    15·1 answer
  • 7 more than d is equal to 19
    9·2 answers
  • What is 346.49 rounded to the nearest square inch
    12·2 answers
  • Find the value of x.
    13·1 answer
  • Help me pleaseeeeeeeeeeee
    13·2 answers
  • Determine the period.
    6·2 answers
  • Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?
    7·2 answers
  • After spending 2/5 of her pocket money,Joyce realised she has spent $18.00. find her pocket money.​
    15·1 answer
  • I will mark brainlis if i can...
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!