Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 4, -3+i​

Answers

Answer 1

Answer:

Step-by-step explanation:

f

(

x

)

=

(

x

1

)

(

x

(

3

i

)

)

(

x

(

3

+

i

)

)

f

(

x

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=

(

x

1

)

(

x

2

x

(

3

+

i

)

x

(

3

i

)

+

9

+

1

)

f

(

x

)

=

(

x

1

)

(

x

2

6

x

+

10

)

 

f

(

x

)

=

x

3

x

2

6

x

2

+

16

x

10


Related Questions

What size cardboard does Thomas need to buy to make his box? 12 by 18 inch piece of cardboard 10 by 16 inch piece of cardboard 8 by 12 inch piece of cardboard 9 by 14 inch piece of cardboard

Answers

Answer:

12 by 18

Srry if I am wrong

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged $1650. What was the rate charged per hour by each mechanic if the sum of the two rates was $140 per hour?

Answers

x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours

Then

x + y = 235
5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Please solve or help:)

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

x=25

Step-by-step explanation:

5x-10=4x+15

5x-4x=15+10

       x=25  

QUICK?!!
For each ordered pair, determine whether it is a solution to 3x-5y=-13

Answers

Answer: (9,8) is Yes, (-8,2) is No, (-6,-1) is True and the last one is No! Hope that helps!

Step-by-step explanation: Use the desmos scientific calculator!

need help with these 3

Answers

Answer:

1) Radius = 3yd Diameter = 6yd

2) Radius = 19ft Diameter = 38ft

3) Radius = 18in Diameter = 36in

Step-by-step explanation:

Diameter = r*2=d

Radius = d/2=r

1. Radius: 3yd

Diameter: 6yd

2. Radius: 19ft

Diameter: 38ft

3. Radius: 18

Diameter: 36

For next time the radius is half the diameter. If you want diameter it’s Rx2 and if you want radius you do D divided by 2

The graph of y = x2 –7x +12 is a parabola with x-intercepts at and a vertex that is the
point on the curve.

Answers

The vertex of the parabola is at the point (3.5, 0.75).

To find the x-intercepts of the given quadratic equation [tex]y = x^2 - 7x + 12,[/tex]we set y = 0 and solve for x.

[tex]0 = x^2 - 7x + 12[/tex]

Factoring the quadratic equation, we can rewrite it as:

0 = (x - 3)(x - 4)

Setting each factor equal to zero, we find the x-intercepts:

x - 3 = 0 => x = 3

x - 4 = 0 => x = 4

Therefore, the parabola represented by the equation [tex]y = x^2 - 7x + 12[/tex] has x-intercepts at x = 3 and x = 4.

To find the vertex of the parabola, we can use the formula:

x = -b / (2a)

In this case, a = 1 (coefficient of [tex]x^2[/tex]) and b = -7 (coefficient of x). Plugging these values into the formula, we get:

x = -(-7) / (2[tex]\times[/tex] 1)

x = 7 / 2

x = 3.5

To find the y-coordinate of the vertex, we substitute this value back into the original equation:

[tex]y = (3.5)^2 - 7(3.5) + 12[/tex]

y = 12.25 - 24.5 + 12

y = 0.75

Therefore, the vertex of the parabola is at the point (3.5, 0.75).

In summary, the graph of the equation [tex]y = x^2 - 7x + 12[/tex]is a parabola with x-intercepts at x = 3 and x = 4. The vertex of the parabola is located at the point (3.5, 0.75).

For similar question on parabola.

https://brainly.com/question/29635857

#SPJ8  

Where do I graph it pls help

Answers

You would start by putting a point at (0,-1) and then one at (5,1)

place a point at (0,-1) then go up 2 and 5 the right, mark another point and continue going up two over 5

Please answer super easy 10 points

Answers

Answer:

D. 1.9 inches

Step-by-step explanation:

u did the butterfly method so just multiply across & divide so 95 • 9 = 855 and 450 • x = 450x

so 450x = 855

now isolate the variable so divide 450 on both sides

855 ÷ 450 = 1.9

hope this helps

Which equation best represents the following situation?
Joel is trying to save money for a vacation. He saves $30 every month. He also already saved the $100 he got for
his birthday. Write an equation that models this situation where (s) represents the amount of money he has
saved and (t) represents the number of months he has been saving.

Answers

Answer:

s(t) = 30t + 100

Step-by-step explanation:

This is a linear function y = mx + b with:

Slope m = 30Y-intercept b = 100

The equation is:

s(t) = 30t + 100

A string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters
long. How many pieces were cut from the 27.2-meters string?

Answers

Answer:

8 peices

Step-by-step explanation:

Sorry it went without any work.

work: 27.2/3.4 = 8

Answer:

8 pieces

Step-by-step explanation:

27.2 divide 3.4 then you will get as answer which is 8 pieces from 27.2 meters string.

-7.2x < -50.4x + 432

Answers

Answer:

x<10

Step-by-step explanation:

We can start off with adding 50.4x to both sides:

Once we do that we get the following: 43.2x < 432

If you notice, they both are almost the same number with the different of the decimal place. Lets multiply both sides by 10 to get rid of the decimal place:

432x < 4320

Now, if you see, they're basically the same number but the second place is x10 greater.

We can divide both sides by 432 and get x<10 as our answer!

If this answer helped you, consider marking this as brainliest!

Cheers!

0.3(1/4-1)+0.35 help put as de final heeeelllppp plz noo links

Answers

Answer:

0.125 or 1/8

Step-by-step explanation:

Pictomath lol

Answer:

0.125

Step-by-step explanation:

Hope this helps! Have a great day!

Carl owns a horse trailer that can transport up to 8000 pounds of livestock and tack.

Answers

1st One

Reason: The total weight of the horses is 6240 and the weight of the tack is unknown. We know the max weight is 8000 so we know the total weight must be less then 8000

We know that the horses and tack must be equal or less than 8000

6240+t <(equal or less than) 8000

(will give brainliest for first answer) Indicate YES or NO as to whether the transformation will map hexagon ABCDEF onto itself.


A. Reflecting over AC¯¯¯¯¯

B. Reflecting over BE¯¯¯¯¯

C. Rotating 120° counterclockwise about point X

D. Rotating 240° clockwise about point F

Answers

Answer:

I believe it is A or D

Step-by-step explanation:

I took this a while ago I can't remember the answer fully, but I believe it's a or d

If three times a number is at least four more than eight times the number, which of the following is true?
- The number is at least negative four-fifths.
- The number is at most four-fifths.
- The number is at least four-fifths.
- The number is at most negative four-fifths.

Answers

Answer:

The first one is correct.

Step-by-step explanation:

Your equation is 3n ≥ 4+8n

Simplify:

3n ≥ 4+8n

-8n      -8n

-5n ≥  4

-5       -5            Dividing by negative 5

n ≤ - 4/5   sign was flipped because you divided by a negative number.

Hope that helps!

Answer:

The answer is A

Step-by-step explanation:

A poster is 1 3/5 feet wide and 3 1/8 feet long. What is the area of the poster?

Answers

Answer:

5 feet squared.

Step-by-step explanation:

You can multiply the length by the width to get the total area of the poster.

1 3/5 x 3 1/8 is equal to 5, therefore, the area of the poster is 5 feet squared.

Answer: 5 ft^2

Step-by-step explanation:

Area=length times width. In this problem, the lenght is 3 1/8 and the width is 1 3/5. We have to multiply these two:

1 3/5*3 1/8= 8/5*25/8=5.

So the area is 5 ft^2.

Use the graph to determine the following
a. the function's domain
b. the function's range
c. the x-intercepts, if any
d. the y-intercept if any
e. the function value indicated below.
f(-2)
a. What is the function's domain?
(Type your answer in interval notation)
b. What is the function's range?
(Type your answer in interval notation)
c. Enter the x-intercept(s). Select the correct choice below and fill in any answer boxes within your choice.
O A The x-intercept(s) is(are)
Type an integer Use a comma to separate answers as needed.)
B. There is no x-intercept

Answers

Answer:

the answer you are looking for is e

Which expression has a base with an exponent of 4?

Answers

Answer:

The expression that has a base is 3m⁴

Step-by-step explanation:

I hope it helps!!!

Answer:

3m^4

Step-by-step explanation:

I got it right on i-Ready

I hope this helps!

From: Aug1e

Luis rents a 17-foot moving truck for 3 days. The rate for the truck is $60 for the
first day and $21.95 for each day after that. He also has to pay $0.79 per mile for
every mile over 50 miles. Luis also purchases insurance which cost him $20. If Luis
drives 200 miles before he returns the truck, how much will he pay?
$242.40
$204.35
$222.40
$281.90.

Answers

Answer:

Luis will pay $242.40

Step-by-step explanation:

60.00(1st day)+21.95(2nd day)+21.95(3rd day)+20.00(Insurance)=123.90

200 (mi driven) - 50 (mi allowed)= 150 miles must be paid for

150*0.79(rate per mile)=118.50

123.90+118.50=$242.40 Total Cost

Please allow me to know if I helped by clicking thank you, rating or brainly.

Miss Hawaii

Log 16 - Log64/Log 128​

Answers

Answer:

1.785074354

Step-by-step explanation:

I don't know the ans want how many significant so I put all

i had 30 yards of fabric. i made 3 dresses and used 2 5/6myards of fabric on each dresses. i also made 4 blouses and used 1 3/5 yards of fabric on each blouse. how much fabric is left?

Answers

Answer:15.1

Step-by-step explanation:

Help plz! I don't understand this problem!

Write the slope-intercept form of the equation for each line.

Answers

Step-by-step explanation:

First, let's find the slope of the line. Note that it passes through P1(-8, -1) and P2(0, -5). So the slope of this line is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-5 - (-1)}{0 - (-8)}[/tex]

[tex]\:\:\:\:\:= \dfrac{-4}{8} = -\dfrac{1}{2}[/tex]

The slope-intercept form of the equation can be written as

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

To solve for b, we can use either P1 or P2. Let's use P2.

[tex]-5 = -\frac{1}{2}(0) + b \Rightarrow b = -5[/tex]

Therefore, the slope-intercept form of the equation for the line is given by

[tex]y = -\frac{1}{2}x - 5[/tex]

Write a verbal expression to represent the given equation,
X - 25 = 3

Answers

A number (X) minus 25 is equal to three.

Need help don’t want to fail help help help

Answers

Answer:

photosynthesis is a processes by which plants get their proteins

Step-by-step explanation:

ok

Answer:

C. is not true

Step-by-step explanation:

Hole at x = 1, numerator has factor x-1, while vertical asymptote x = -3 means there is factor of x-3 in denominator.

horizontal asymptote y=0: degree of numerator less than denominator.

No real zeros.

Steve has been collecting baseball cards for a few months. Last week he added 5 more baseball cards to his collection yesterday his dog ate half of all this baseball cards and now he only has 12 cards left. How many cards did he start with

Answers

Answer:

19

Step-by-step explanation:

19 + 5 is 24 and if the dog ate half and there is 12 left 24/2 is 12

Answer:

19

Step-by-step explanation:

Well, all you got to do is firstly, multiply 12 by 2 (24). Then, subtract 5 from it (19).

Hope this helped!

Hello I need help? please!!

Answers

Answer:

I'm pretty sure your right keep up

If the area of this rectangle is 30cm square what would the missing side be?

Answers

The area of a rectangle is calculated with this formula: Area = Length • Width. Given the area of the rectangle, we can substitute it in for “A” (area) in the formula, so that we can solve for the missing width value.

A = L • W [Area if Rectangle Formula]

A = 30cm^2 [Given]

(30) = (6) • W [Substitution Property of

Equality]

30 / 6 = 6 • W / 6 [Division Property of

Equality]

5 = W [Definition of Equality]

W = 5 [Symmetric P.O.E]

Therefore, the width of this rectangle is 5.
We can check this because A = 6 • 5 = 30cm^2

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

.

Answers

Answer:

I think the answer of the slope is 1

Answer:

I think the answer is 1 for the slope of the line

Stuck on letter b, please help

Answers

Answer:  f(3)=10

Step-by-step explanation:

In order to calculate f(3) you need to substitute 3 for x in function

f(x)=3x +1 :

f(3)=( 3x3) + 1

f(3)= 9+1

f(3)=10

On the first day of a family road trip, Tamara's family travels 540 miles,
On the second day, they travel 10% fewer miles,
How many miles does Tamara's family travel on the second day?

Answers

Answer:

the right answer is 486 and if I am right can brainlist

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