Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i) f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

Answers

Answer 1

Answer:

[tex]P(x)=(x-2i)(x-3i)[/tex]

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

[tex]P(x)=a(x-x1)(x-x2)...(x-xn)[/tex]

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

[tex]P(x)=1(x-2i)(x-3i)[/tex]

[tex]\mathbf{P(x)=(x-2i)(x-3i)}[/tex]

Answer 2

Answer:

a

Step-by-step explanation:

edge


Related Questions

which is perpendicular to the line y=-3x-8y

Answers

Answer:

I believe the answer is y = -7/3x

Step-by-step explanation:

When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.

We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.

The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x

Answer:

3

Step-by-step explanation:

Find the Slope of a Perpendicular Line

y = −3x − 8y

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Move all terms containing y to the left side of the equation.

9y = −3x

Divide each term by 9 and simplify.

y = −(x/3)

Write in y = mx + b form.

y = -(1/3)x

Using the slope-intercept form, the slope is − (1/3)

m = -(1/3)

The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative  reciprocal of the original slope.

[tex]m[/tex]perpendicular = [tex]-\frac{1}{-\frac{1}{3} }[/tex]

Simplify the result.

[tex]m[/tex]perpendicular = 3

36. Mrs. Moore bought one gallon of milk at
$3 per gallon, three loaves of bread at
$2 per loaf, one pound of cheese at $4 per
pound, and six cans of soup at two cans for
$3. What was the total cost of the food?

Answers

the total cost is $22

m/2+m evaluate if m 14

Answers

Answer:

21

Step-by-step explanation:

To add fractions find the LCD and then combine

On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer

Answers

Answer:

The total distance will remain unchanged as the gas station is on their way to home.

Step-by-step explanation:

The total distance of the trip will the distance between home to the destination and way back. If the Anderson family is stopped to fill gas in their car. The total distance of the trip is not affected by the stop in their route. If the gas station is located far from the route they follow then the distance will change.

305,000,000 in scientific notation ​

Answers

Move the decimal So that you have one number to the left of it. Count the number of spaces it was moved. Remove all trailing 0’s.

Multiply by 10 raised to the power of the number is spaces the decimal was moved.

3.05 x 10 ^8

pls help me sisters






Answers

Answer:

Look below

Step-by-step explanation:

0.25: Drag 1/4 and the square

0.6: Drag 60/100 and the rectangle

0.75: Drag 6/8 and the circle

Answer:

First Box: 0.75

Second Box: 0.25

Third Box: 0.75

4th Box: 0.25

5th Box: 0.6

6th Box: 0.6

Bradley completed 3/5 of his homework. What percent of his homework has he completed?

Answers

Answer:

60%

Step-by-step explanation:

3/5 of 100% is 60%

Answer:

60% is the answer

What is the product of -8/9 x -6/7

Answers

Answer:

16/21

Step-by-step explanation:

In the first fraction, the negative numerator and negative denominator cancel each other.

In the second fraction, the negative numerator and negative denominator cancel each other.

The equivalent equation is

8/9×6/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

8×6/9×7=48/63

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 48 and 63 using

GCF(48,63) = 3

4/8÷43/63÷3=16/21

Therefore:

−8/9× −6/7=16/21

solve -2y+6y-x-4=0 for y

Answers

Answer:

y = x/8 + 1/2

Step-by-step explanation:

Can I have brainliest?

A bird is flying at an elevation of 3 5/8 feet above sea level. A fish swims directly under the bird at a depth of 5 1/3 feet below sea level. How far apart are the two creatures?

Answers

Given :

Distance of bird from sea level, [tex]d_1 = 3\dfrac{5}{8} = \dfrac{29}{8}\ feet[/tex] .

Distance between fish and sea level, [tex]d_2=5\dfrac{1}{3}=\dfrac{16}{3}\ feet[/tex] .

To Find :

Distance between bird and fish.

Solution :

Distance between bird and fish is given by :

[tex]D=d_1+d_2\\\\D = \dfrac{29}{8}+\dfrac{16}{3}\\\\D=8.958\ feet[/tex]

Therefore, distance between bird and fish is 8.958 feet.

Hence, this is the required solution.

Solve for the missing distance 30m 39​

Answers

Answer:

Pls evaluate the question more

Step-by-step explanation:

The price of a gallon of unleaded gas was $2.87 yesterday. Today, the price fell to $2.80. Find the percentage decrease. Round your answer to the nearest tenth of a percent

Answers

2.49%
2.87 : (2.87-2.80) = 100 : x

Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington

Answers

Answer:

IF its a pretest the grade doesnt count im pretty sure.

Answer:

1. 15% of 48= 7.2

2. 25% of 80= 20

3. 135% of 70= 94.5

4. 7/10 of 100= 0.7

5. Solution for 36 is what percent of 50:

36: 50*100 =

(36*100): 50 =

3600: 50 = 72

6. Solution for 4 is what percent of 20:

4: 20*100 =

(4*100): 20 =

400: 20 = 20

7 30 is 50% of what number

50% is half of 100 so all you do is times the number by 2 which is 30 to get 60

8. 2 is 25 percent of what number?

again 25% you need to do 4 times 25 to get 100 so you do 12 x 4 and you get 48

9 its 800 so 75 again is 3 x 25 so you divide 600 by 3 and you get 200 so then to get 100 percent you do 4 x 200 and you get 800 so the awnser is 800

Step-by-step explanation:

Can anyone help me pleasesss

Answers

Answer:

$7 per week

Step-by-step explanation:

39 - 37 = 7

1 - 0 = 1

7/1 = 7

Answer:

7

Step-by-step explanation:

39 - 32 (one week) = 7

53 - 39 (2 weeks) = 14, 14/2 = 7

(25 POINTS) Match the two triangles that are congruent to each other. Please also explain :) thanks

Answers

Answer:

Triangle ABC and Triangle JLK

Step-by-step explanation:

For Triangle ABC the 8 and 10 are both on the same if you turn Triangle JLK over clock wise it will be the same and plus both insides are 20 degrees. While the other Triangles have their 8 and 10 on other sides.

10x + 4y = 20
13x - 4y = -66
If x = -2, what is the value of y?

Answers

Answer:

y = 10

Step-by-step explanation:

If x = -2

10x + 4y = 20

10(-2) + 4y=20

-20+4y=20

4y= 20+20

4y=40

y=10

If x=2 and y=10

13x - 4y = -66

13(-2) - 4(10) =-66

-26 -(-40) = 66  so it all checks out!!

36.78
by
2.4
.
15.325 this the answer

Answers

Answer:

36.78 by 2.4 = 88.272

The sum of two numbers is 73. The difference of two numbers is 29. Find the two numbers.

Answers

Answer:

the answer is 35 and 38 because 35+38 is 73 and when u subtract 35 from 38, you get 3.

Step-by-step explanation:

write each number in standard form 6.7x10 to the 1 power

Answers

Answer: 67

Step-by-step explanation: 6.7 x 10^1 = 67

What is the measure of angle x?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angles.

Applying, angle sum Property of a triangle and linear pair, we get as,

180°-107 = 73°

, now angle sum property,

=> 31+73+p = 180

=> p = 180-104

=> p = 76°

here, angle p = angle x, they are vertically opposite angles, hence,

x = 76°

hence

10x10= what
please answer i want to see if it works

Answers

Answer:

100

Step-by-step explanation:

10 x 10 = 100

Answer:

100 is the correct answer !!

Step-by-step explanation:

WHO EVER ANSWERS GETS BRAINLY
Which Property of Equality would you use to solve this one step equation? −4x = 48

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Answers

Answer:

Division Property of Equality

Step-by-step explanation:

Lin rode her bike 3 miles in 10 minutes. She rode at a constant speed. How many minutes
did it take her to travel one mile?

Answers

Answer:

It would be about 3 minutes because if you take 10 and divide it by 3 it gives you 3.333333 and if you round that it would still be 3 or if you do it the other way around you would get .3 witch wouldnt be right so that should be your answer

Step-by-step explanation:

please can someone express √5 as a fraction? ​

Answers

Answer:

SInce this continued fraction does not terminate, we can tell that √5 cannot be represented as a terminating fraction - i.e. a rational number. So √5 is an irrational number a little smaller than 214=94 . For better rational approximations you can terminate the continued fraction after more terms.

hope this help!

Can someone give me the answers to this please I will give you brainlyest
(100 points)​

Answers

Answer:

9-81881=992

Step-by-step explanation:

My question is how do you write 2×10^-4 in standard form

Answers

Answer:

[tex]2*10^{-4}[/tex]

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

-10.2+c=-8.14
Helpppp

Answers

Answer:

c=18.34

Step-by-step explanation:

what is 18 divided by y

Answers

Answer:     0

 

Step-by-step explanation:

Find the slope of the line that passes through these two points.
(-2, 11) and (5, 6)

Answers

Answer:

-5/7

Step-by-step explanation:

(y2-y1)/(x2-x1) (6-11)/(5--2)

make p the subject of the formula q - p = 3p + 5

Answers

Answer:

p=- 5-q/4

Step-by-step explanation:

i hope this is the answer

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