Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.

Answers

Answer 1

Answer:

[tex]x_4 = -5 + i[/tex]

Step-by-step explanation:

See comment for complete question.

From the complete question, we have:

[tex]Zeros \to -2, -6, -5-i[/tex]

Required

Determine the other zero

The zeros can be represented as:

[tex]x_1 = -2[/tex]

[tex]x_2 = -6[/tex]

[tex]x_3 = -5-i[/tex]

Considering the 3rd zero, which is a complex number.

If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero

A conjugate pair is given as:

[tex]a + bi[/tex] and [tex]a - bi[/tex]

For [tex]x_3 = -5-i[/tex]

The conjugate pair is:

[tex]x_4 = -5 + i[/tex]

Hence, the other zero is: [tex]-5 + i[/tex]


Related Questions

Please answer all of them! SHOW WORK!!

Answers

Wait I can help fm dm

Hi guys can you answer this question​

Answers

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....

What is the total surface area of the square pyramid? ​

Answers

Answer:

add them all together you will get 240m I think

Step-by-step explanation:

What is the slope of the line?

A. 0
B. 1
C. 5
D. Undefined ​

Answers

Answer:

D undefined

Step-by-step explanation:

yeah the picture sums it up, I just dont remember how to do this

Answers

Answer and Step-by-step explanation:

To find the length of AB, we have to use Distance Formula.

Distance Formula takes two points on a graph, and puts it into the following formula to calculate the distance between those two points.

The formula:

D = [tex]\sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2 }[/tex]

Where:

D = The Distance between two points

[tex]x_2[/tex] = The x value of the second point

[tex]x_{1}[/tex] = The x value of the first point

[tex]y_2[/tex] = The x value of the second point

[tex]y_{1}[/tex] = The x value of the first point

Point A will be the first point and point B will be the second point. All we have to do now is plug those points into the formula and solve.

[tex]\sqrt{(10 - 5)^2 + (0 - 10)^2 }\\\\\\\\\sqrt{(5)^2 + (- 10)^2 }\\\\\\\\\sqrt{25 + 100 }\\\\\\\\\sqrt{125}\\\\\\\\\sqrt{125} = 5\sqrt{5}[/tex]

The length of side AB is [tex]5\sqrt{5}[/tex] units, or 11.18 units.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewable area is 5,550 square meters.

Answers

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]

Given functions f(x) and g(x):
f (x) = x + 2

g(x) = x + 1/2

...what is the coefficient of the x term of f(x) · g(x)?
Find the coefficient for the x term of the answer to (fºg)(x). Write the answer as a fraction
(enter fractions write as a slash i.e. 1/2 for ) or as
a decimal. Do not include spaces in your response.
Type answer here. Be careful with spelling.

Answers

Answer:

5/2

Step-by-step explanation:

f*g = (x+2)(x+1/2) = x^2+5x/2+1

the x term is 5x/2, and the coefficent is 5/2

18.
Find the common difference of the arithmetic sequence.

–2, [tex]-1\frac{4}{5}[/tex], [tex]-1\frac{3}{5}[/tex], [tex]-1\frac{2}{5}[/tex], . . .

A. [tex]-\frac{1}{5}[/tex]

B. -5

C. 5

D. [tex]\frac{1}{5}[/tex]

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

Answer:

The common difference is  or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ =  

Third term     = a₃ =  

Fourth term = a₄ =  

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴  

The common difference is  or 0.2

find the area of each sector shown (the shaded section)

Answers

Answer:

The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].

Step-by-step explanation:

Area of a sector = (θ ÷ 360) [tex]\pi[/tex][tex]r^{2}[/tex]

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = [tex]\frac{diameter}{2}[/tex]

 = [tex]\frac{26}{2}[/tex] = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = [tex]20^{o}[/tex]

Thus,

area of the given sector = [tex]\frac{20}{360}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]

                                        = [tex]\frac{20}{360}[/tex] x x [tex]\frac{22}{7}[/tex] x 169

                                         = 29.5079

The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].

i need help with all of them lololol

Answers

Answer:

(If you need the actual explanations for each one, just ask in comments)

Step-by-step explanation:

1: D

2: G

3: A (60/100 = 6/10 = 3/5)

4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)

5: C (2:6 = 1:3; 3:9 = 1:3)

6: J (2:15 = 10:75; multiply each side by 5)

7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).

Need some help please, I'm super stuck on this. :/

Answers

Minimum y value, is correct

Which inequality is true?

Helpp due now

Answers

Answer:

b is true

Step-by-step explanation:

i hope this helps :)

Kevin and Clark each bought a new book for $50. Kevin sold his book to the used bookstore for 25% less than the original price. Clark sold her book to the used bookstore for 40% less than the original price. How much more money, in dollars, did Kevin receive for his book than Clark received for her book?

Answers

Answer:

i think kevin made $7.50 more than clark

Step-by-step explanation:

25% of 50 is 12.5. 50-12.5= 37.5

40% of 50 is 20. 50-20=30

an area rug is Rachel's room is shown below​

Answers

Answer:

1272 ft^2

Step-by-step explanation:

The area is 144*106= 15264 inches and to convert inches to feet we divide by 12 because a foot has 12 inches

15264/12 = 1272 ft^2

PLEAS EHEKP ILL GIVE BRAINLIEST
SHOW WORK SO I CAN UNDERSTAND PLEASE

Answers

Answer:

$49.72

Step-by-step explanation:

The tip is 11% of the price of the pizza.

The price of the pizza is $452.

The tip is 11% of $452.

To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.

11% of $452 =

= 0.11 * $452

= $49.72

Answer: $49.72

Rita is making chili. The recipe calls for 3 3/4
cups of tomatoes.

How many cups of tomatoes are used in the recipe?

Answers

Answer:

3 3/4

Step-by-step explanation:

Giving brainliest, easy question
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?

(x − 5)2 + (y + 9)2 = 12
(x − 5)2 + (y + 9)2 = 144
(x + 5)2 + (y − 9)2 = 144
(x + 5)2 + (y − 9)2 = 12

Answers

Answer:

(x − 5)2 + (y + 9)2 = 144

Step-by-step explanation:

Hope this helps

Find the surface area of the prism.​

Answers

Answer: 136 m

hope this helped :)

Which figure is described below?
The points in a plane equidistant
from the endpoints of PQ.
A. ray
B. plane
C. 2 circles
D. line

Answers

Answer:

It’s a line

Step-by-step explanation:

The figure that is described below is D. A line

What is a Line?

This refers to the one-dimensional figure that has a length but does not have any width.

Hence, we can see that from the described figure, it is said that the points in a plane are equidistant from the endpoints of PQ, this shows that a line is being described because it is one-dimensional.

Read more about lines in a plane here:

https://brainly.com/question/1655368

#SPJ6

What is the equation of the given line?

Answers

Answer:

y=0x+5

Step-by-step explanation:

Answer:

2,2gggffgigzrfgcf gg cyg

hi someone help with these two questions. Thanks

Answers

Answer:

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]

   Any expression with negative exponent is not a polynomial.

b). [tex]4\sqrt{x}+5[/tex]

   Any expression having variable with square root is not a polynomial.

c). [tex]\frac{4x+5}{3x-1}[/tex]

   Any expression having variables in the form of a fraction is not a polynomial.

d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]

   It's a polynomial.

e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.

which type of polynomail is 4x-3

Answers

Answer:

Binomial

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

2(x-3)=4x-1
what's the answer?

Answers

Answer:

x = -5/2 or -2.5

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

2(x-3)=4x-1

2x-6=4x-1

2x-5=4x

2x=5

x=2.5

there are 6 soccer teams playing in a weekend tournament. 2 players are removed from each team to form a new team. The total number of players at the tournament is 90 .....
I NEED HELPPPPP PLEASEEEEEE​

Answers

Yes I think 24 is 1 and I can

Look at the photo to answer

Answers

answer is two .....

which number lies half-way between 356 and 1025​

Answers

Answer is 695

(365+1025)/2= 695

The sales tax rate is 10%. If Jason buys a laptop computer priced at $868, how much tax will he pay?

Answers

Answer:

the tax will be 86.8 I hope it helps

What is the surface area of the rectangular prism shown above?​

Answers

Answer:

The surface area of the rectangular prism is [tex]160in^2[/tex].

Step-by-step explanation:

The surface area of a 3-dimensional shape is found by adding the area of each side of the shape together. In this case, the areas of each side of the rectangular prism are 20 in, 20 in, 50 in, 50 in, 10 in, and 10 in. Find the surface area by adding each area together and you'll get [tex](50*2)+(20*2)+(10*2)=100+40+20=160in^2[/tex].

Answer:

The answer would be 160 .

Step-by-step explanation:

Good luck honey

What is the equation of a circle with center (−3, 0) and radius 20?

Answers

Answer:

(x + 3)^2 + y^2 = 20^2

Step-by-step explanation:

If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or

(x + 3)^2 + y^2 = 20^2

What is the radius of this circle?

Answers

Answer:

5 cm

Step-by-step explanation:

Here, In given circle the radius is 5cm

-TheUnknownScientist

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