If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)

Answers

Answer 1

Answer:

just took the test and it's D on edge

Step-by-step explanation:

Answer 2

The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D

Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.


Since the root of the equation is given 5,  4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.


Implies (x - 5) and (x - (4-13i))


(x - 5) and  (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.

Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .

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Related Questions

Helppp please. (Picture included)

Answers

Answer:

its 160

Step-by-step explanation:

-.- no explanation

The height should be 160 because that is the vertical line

Mr. Trpkosh was calculating the rate of change of two functions. The first function had a rate of change of -10; the second function had a rate of change of 8. Norman said the second function had the greater rate of change because 8 is greater than -10. Do you agree or disagree with Mr. Trpkosh? Explain your answer. *

Answers

Answer:

No, I do not agree with Mr. Trpkosh.

Step-by-step explanation:

The rate of change of a function means the total change in the function for a unit change in the independent variable.

If the function is increasing with increment in the independent variable, then the rate of change of the function is positive, while if the function is decreasing with the same,  then the rate of change of the function is negative.

Given that the rate of change of the first function = - 10, so this function is decreasing with a rate of 10.

The rate of change of the second function = 8, so this function is increasing with a rate of 8.

So, the first function has a higher rate of change.

pls respond ,.... 25 points

Answers

The answer is B, hope this helped you!

-2, -7, -12,-17, ...
find out the nth term​

Answers

Answer:  -42

Step-by-step explanation:

Add 5 to each number until you reach the ninth term.

Answer:

-42 is the ninth term

Step-by-step explanation:

You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:

-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)

please help me with this​

Answers

Answer:

the mean is 5

Step-by-step explanation:

because if you add all the numbers and divide by the number of digits you should get the equation 40/8= 5 and that´s the answer

Answer: 5

Step-by-step explanation:

add up all the numbers, then divide by how many integers there are.

2+3+4+4+4+5+8+10=40

40 divided by 8 equals 5

What value of x will make the triangles similar by the SSS similarity theorem?

x =

Answers

Answer: 28 is correct!!

Step-by-step explanation:

Answer:

The answer is x=28.

Step-by-step explanation:

I hope this helps.

Name the slope and y-intercept of the graph of each question

y = 3x + 8

5x+y=17

PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points

Answers

Answer:

Step-by-step explanation:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Answer:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Step-by-step explanation:

Which answer choice is a solution to the inequality 1.5x+3.75≥5.5? –1 1 1.5 0

Answers

Answer:

x ≥ 1.17

Step-by-step explanation:

[tex]1.5x+3.75≥5.5[/tex]

First of all subtract 3.75 from both sides of the equation

That's

[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]

Divide both sides by 1.5

[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]

We have the final answer as

x ≥ 1.17

Hope this helps you

Answer:

1.5

Step-by-step explanation:

Please help!

Write the expression as a power of a:

(a^5)2

Answers

See attachment for math work and answer.

How do you know if an equation has one solution, no solutions, or infinitely many solutions?

Answers

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.

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can someone help me with theses 6 problems?​

Answers

Answer: I can help with number 10, and that answer is 105*

Step-by-step explanation: 10's x is paralell to the known angle, so the answer for x is equal to the known angle.

And this one help me with

Answers

Mdskckskndnsnjsncjsnfjsndbap

5 ice cream cones cost $7.25. At this rate, how much do
3 ice cream cones cost? Plus what is the cost per ice cream cone

Answers

Answer:

i

Step-by-step explanation:

. 7.25 divided by 3 is 2.416666666 on the calulater. and the cost per cone is 1.45. so each cone is 1.45 per each and the cost per cone of 3 is 2.416666666 for the calulater. I hoped I helped if I didn't I'm sorry

Find the distance between the points
(9,-7) and
(5,-4).


25
5
V137
V7

Answers

Answer:

5

Step-by-step explanation:

5 is the 100% correct answer.....Hopes to get BRAINLIEST.....

Thank you ☺️☺️

PLSS!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

a=9
b=12
What is the length of c?

Answers

Answer:

c = 15

Step-by-step explanation:

a^2 + b^2 = c^2

This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).

Given a and b we are able to solve for c

c^2 = 9^2 + 12^2

c^2 = 81 + 144

c^2 = 225

Square root both sides to cancel the square

c = 15

Answer:

15

Step-by-step explanation:

Use this equation

a^2+b^2=c^2

so,

9 squared is 81 and 12 squared is 144.

81+144=225

The square root of 225 is 15.

Fill in the blanks by creating the line parallel to y= -1/2x+7 that goes through (-2,3) in slope intercept form.

Answers

Answer:

y = [tex]-\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

Two parallel lines share the same slope, so the slope of this parallel line will also be [tex]-\frac{1}{2}[/tex].

Now, you'll have to find the y-intercept. But, to make sure your line also goes through the point (-2, 3), plug them into the x and y values:

y = mx + b

3 = (-1/2) (-2) + b

3 = 1 + b

b = 2

Now you can plug the y-intercept and slope into the slope-intercept formula:

y = [tex]-\frac{1}{2}[/tex] x + 2

Please answer! Thank you so so much and you will be rewarded in points!!
If the line passes through (-4,-7) and (4,9), what is the equation of the line in standard form?


2x - y = 1
2x + y = -1
2x + y = 1
2x - y = -1

Answers

Answer:

Step-by-step explanation:

Y=2x+1??

Answer:

2x - y = -1

Step-by-step explanation:

hope this helps

jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13

Answers

Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?​

Answers

Answer: -5/7

Step-by-step explanation:

-11/28 = -0.39

-5/7 = -0.71

9/-14 = -0.64

29/-42 = -0.69

Out of these, -5/7 is the greatest rational number, even if they are all negative.

Hope this helps!

6
(-9)
(-9)

What is the answer?

Answers

Answer:486

Step-by-step explanation: you just multiply

do u do all subjects

Answers

Answer:

most of them

Explanation:

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary
A: (C + D)^2
B: 2(C + D)
C: C^2 + D^2
D: C^2 - D^2

Answers


(c + d)²
Expand
c² + 2cd + d²
------------------

B: 2(C + D)
When c and d are between 0 and 1
2(c + d) > (c + d)²
Example c = 0.2 and d 0.1
2(c+d) = 0.6
(c + d)² = 0.09
When c and d are greater than 1 then
(c + d)² > 2(c + d)
-------------------------

C: C^2 + D^2
Since (c + d)² expanded is (c² + d²) + 2cd
c² +-d² is always greater
-----------------------

D: C^2 − D^2
Subtracting results in a smaller number
c² +-d² is always greater
-------------------
Since a schools population can never be between 0 and 1
The answer that you are supposed to choose is
A: (C + D)² <––––––
However the question is defective and should be changed
from: "C and D must be greater than 0︎⃣"
to: C and D must be greater than 1︎⃣

2/5(5k+35) -8 =12 please helpppppppp

Answers

Answer:

k =3

Step-by-step explanation:

2/5(5k+35) -8 =12

Add 8 to each side

2/5(5k+35) -8+8 =12+8

2/5(5k+35)  =20

Multiply each side by 5/2

5/2 *2/5(5k+35)  =20*5/2

5k+35 = 50

Subtract 35 from each side

5k+35-35 = 50-35

5k = 15

Divide by 5

5k/5 = 15/5

k =3

See attachment for math work and answer.

Item 10 Question 1 Solve the equation y/3=5 .

Answers

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

Answers

Answer:

Negative (negative 20) = 20

Step-by-step explanation:

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

Since Opposite of shana = Pearls temperature, hence  -(-20°C) = 20°C

Answer:

-(-20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write -(-20 which is equal to 20.

So the first option is correct, -(-20 = 20.

hope this helps:)

GIVING BRAINLIEST! what is the slope and the y-intercept of the line on the graph below?

Answers

Answer:

Your answer is C. the y intercept is 1 and the slope is -1/4. Hope this helped!

Step-by-step explanation:

Heeeeeeeeelp plssssssssssss

Answers

E and a are the same

Answer:

A and E

Step-by-step explanation:

This is an example of the distributive property.

28n-25 is the base

E shows 7(4n-5)

7*4=28=28n

7*5=35

7(4n-5)=28n-35

Kerri has to be at school by 8:11. It takes her 5 minutes to brush her teeth, 9 minutes to shower, 15 minutes to dry her hair, 14 minutes to eat breakfast and 18 minutes to walk to school. What time will she need to get up?

Answers

Answer:

7:10

Step-by-step explanation:

18+14+15+9+5 = 61 minutes

Answer:

7:10

Step-by-step explanation:

5+9=14

14+15=29

29+14=43

43+18=61

60 minutes in an hour with one minute left behind.

8-1=7

11-1= 10

7:10

can anyone explain how to find slope?

Answers

Answer:

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7

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