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
yanalaym [24]
3 years ago
6

A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

  • A complex number has the format a + bi, and it's conjugate is a - bi.

In this problem:

  • Real root -3.
  • Complex-conjugate roots 1 + i and 1 - i.
  • Complex root -3 + 7i.

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at brainly.com/question/24450834

You might be interested in
Plz help me brainliest will be reward if right and 25 points
slega [8]

Answer:

the answer is f(x) = 6x + 1/6

Step-by-step explanation:

the g(x) ones y intercept is : 0,-6

the -6k(x) ones y intercept is : 0 , -6

the f ( x) ones y inetrcept is ; 0 , 1/6

the h (x) ones y intercept is : 0 , 6

5 0
2 years ago
Read 2 more answers
Charles earned a total of $180 from working 12 hours. He earned the same amount each hour. Write an equation to describe the rel
olga2289 [7]

Answer:

he earns $15 an hour. the equation is 12h=t

Step-by-step explanation:

you can make the equation 180=12x where x equals the amount per hour

divide 12 by both sides and you get x=15 which means he makes 15 dollars an hour

7 0
3 years ago
Two ships depart from a port at the same time, one heading south and the other east. Seven hours later, they are separated by a
Anuta_ua [19.1K]

Answer: 80 miles for the first ship, and 150 miles for the other.

Explanation:

First thing we should do is correspond each number with a letter:

Let x be the distance travel by ship heading east

Let y be the distance travel by ship heading south

y = x + 70 -- (1)

sqrt(x^2 + y^2) = 170 -- (2)

Subtract (1) into (2):

sqrt(x^2 + (x + 70)^2) = 170

x^2 + x^2 + 140x + 4900 = 28900

2x^2 + 140x - 24000 = 0

x ^2 + 70x - 12000 = 0

(x - 80)(x + 150) = 0

x = 80 or -150

Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)

Subtract (3) into (1), therefore, y = 150

Hope this helps! :)

7 0
3 years ago
Which is more difficult to walk up? -9/12 or -8/12
guapka [62]

The correct answer is -8/12.

3 0
3 years ago
It has been hypothesized that overall academic success for college freshmen as measured by grade point average is a function of
liubo4ka [24]

Answer:

23.2586 ; IQ ; hours spent studying per week

Step-by-step explanation:

Given the regression model:

y = 6.9+0.055x1 +0.107x2 + 0.0853X3.

IQ scores = (X1)

Hours spent studying each week = (X2),

one's high school average = (x3)

The multiple standard error is 6.313 and R^2=0.826.

What is the predicted GPA for a student with a IQ of 108, 32 hours spent studying per week and a high school average of 82?

X1 = 108 ; X2 = 32 ; X3 = 82

y = 6.9 + 0.055(108) + 0.107(32) + 0.0853(82)

y = 23.2586

B.

The Independent variable with the smallest effect on GPA is the variable with the smallest Coefficient, which is IQ with a Coefficient of 0.055

C.

The Independent variable whiae unit change has the greatest effect on GPA is X2, hours spent studying per week as it has the highest Coefficient of all independent variables with a Coefficient value of 0.107.

5 0
3 years ago
Other questions:
  • You buy a basket of 24 strawberries. You eat them as you walk to the beach. It takes the same amount of time to walk each block.
    13·2 answers
  • (3, -2), slope - 1/6
    8·1 answer
  • The time between breakdowns of an alarm system is exponentially distributed with mean 10 days. What is the probability that ther
    7·1 answer
  • Through a point not on a given line, how many perpendicular lines can be drawn to given line?​
    9·1 answer
  • A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile? A. 7 3/4 square inches B. 12 square in
    8·1 answer
  • How does a digit in the 10,000s place compare to a digit in the thousands place?
    15·1 answer
  • Alec paid the bill for dinner with his clients which totaled $140 before tax and tip. If an 8 percent sales tax was added to the
    13·1 answer
  • Find the surface area of the prism (no unit)
    14·2 answers
  • The sales function for a Super Mario Kart Video Game, d(x), after x years is represented by d(x)=30000\left(0.92)^{x}. To the ne
    11·1 answer
  • What does x equal in this problem
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!