Enter the polynomial function with the least degree and a leading coefficient of 1 that has the given
zeros.
3i, 2, and -2

Answers

Answer 1

Answer:

±4i, ±3

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.

Step-by-step explanation:

±4i, ±3

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.


Related Questions

Estimate the sum.

Pls help me I really need it​

Answers

Answer:

(Bro you gotta give me brainliest for this lol, I'm answering 6, 7, and 8. Tell me in comments if you need all of them.)

6. [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]

7. [tex]\frac{1117}{60}[/tex] = 18 [tex]\frac{37}{60}[/tex]

8. [tex]\frac{1849}{180}[/tex] = 10 49/180

Note: This is not an estimated sum, this is the exact answer calculated from the questions you provided.

Consider a student loan of 17,500 at a apr of 12% for 15 years

Answers

Answer: After 15years have passed, the loan will be at a total of $49K, which is 2.8 times the original price of the loan.

Step-by-step explanation: The first step in "considering" the price of a loan after a certain number of years is to multiply the original price of the loan by the Annual Percentage Rate (APR), and then multiply that number by the number of years that the student loan is growing. This gives a number that we then need to add to the original price of the loan, to give us the final price of the new loan.

In this problem the original price of the loan is $17,500, and the APR is 12%, which is equal to (0.12). We are trying to find the price of the loan after 15 years, which gives us the following equations.

(17,500) (0.12) = 2,100

(2,100) (15) = 31,500

17,500 + 31,500 = 49,000

49,000 ÷ 17,500 = 2.8 times the original

In this problem, multiplying the original price of $17,500 by the APR equals $2,100. Multiplying $2,100 by 15 years equals $31,500. Adding $31,500 to the original price of $17,500 equals the final price of $49,000.

Which statement is true for log3(x+1)= 2?

Answers

Answer:

og₃ (x+1) = 3

It could be written:

(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

Step-by-step explanation:

I really hope this helps

Please help I will give Brainliest please!

Answers

Part (a)

The domain is the set of allowed x inputs of a function.

The graph shows that x = 0 is not allowed because of the vertical asymptote located here. It seems like any other x value is fine though.

Domain: set of all real numbers but [tex]x \ne 0[/tex]

To write this in interval notation, we can say [tex](-\infty, 0) \cup (0, \infty)[/tex] which is the result of poking a hole at 0 on the real number line.

--------------

The range deals with the y values. The graph makes it seem like it stretches on forever in both up and down directions. If this is the case, then the range is the set of all real numbers.

Range: Set of all real numbers

In interval notation, we would say [tex](-\infty, \infty)[/tex] which is almost identical to the interval notation of the domain, except this time of course we aren't poking at hole at 0.

=======================================================

Part (b)

The x intercepts are x = -4 and x = 4

We can compact that to the notation [tex]x = \pm 4[/tex]

These are the locations where the blue hyperbolic curve crosses the x axis.

=======================================================

Part (c)

Answer: There aren't any horizontal asymptotes in this graph.

Reason: The presence of an oblique asymptote cancels out any potential for a horizontal asymptote.

=======================================================

Part (d)

The vertical asymptote is located at x = 0, so the equation of the vertical asymptote is naturally x = 0. Every point on the vertical dashed line has an x coordinate of zero. The y coordinate can be anything you want.

Answer: x = 0 is the vertical asymptote

=======================================================

Part (e)

The oblique or slant asymptote is the diagonal dashed line.

It goes through (0,0) and (2,6)

The equation of the line through those points is y = 3x

If you were to zoom out on the graph (if possible), then you should notice the branches of the hyperbola stretch forever upward but they slowly should approach the "fencing" that is y = 3x. The same goes for the vertical asymptote as well of course.

Answer:  Oblique asymptote is y = 3x

What is the area of the composite shape
A pentagon is shown.

Answers

Answer:

37in.^2

Step-by-step explanation:

So if the triangles at the top have a hypotenuse of 5, and a length of 4, then doing reverse Pythagorean theorem, you find out that the width is 3.[tex]a^{2} +b^{2} =c^{2}[/tex]. so reverse of that for this problem would be [tex]c^{2} -b^{2} =a^{2}[/tex] and if we plug it in, we get 25 -16=9 and the square root of 9 is 3. so if we find the are of the triangle, 3*4*1/2=6 and there are 2 triangles so 12 for both triangles. The square is 5*4=20. and the smaller triangles on the side are 1*5*1/2=2.5, and there are 2 traingles so 2.5*2= 5. So 5+20+12=37. You can do this on most calculators, and please put my answer as the brainliest.✌

segment MN is shown. Point M is located at (7,6). Point N is located at (7,-4) What is the midpoint segment of MN

Answers

Answer:

The midpoint of MN is (7,1)

Add the x coordinates 7+7=14 then you divide that by 2 giving you 7.

Then you add the y coordinates together 6+(-4)=2 then divide by 2 and that gives you 1. Therefore the answer is (7,1)

The company also has plans to open a third obstacle course, the gridrion where the first three checkpoints will have coordinates A"(0,-5)B"(9,-5), and C"(4,-5)
What relationship could this location have to the previous locations?

Answers

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Let us assume that the previous locations are at A(0, 5), B(9, 5), and C(4, 5). Since the new coordinates are A"(0,-5)B"(9,-5), and C"(4,-5), hence:

The relationship is given by:

(x, y) ⇒ (x, -y)

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

Find out more on transformation at: https://brainly.com/question/1620969

Eloise needs 358 yards of fabric to make a costume

Answers

Answer:

So what do you need me to help you with because in a little new to this kind of thing

If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?

Answers

Answer: -6i

Step-by-step explanation:

Part B
In the equation you wrote in part A, which is the independent value and which is the dependent value?
B I y X? X2
15px
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AV
:
Characters used: 0 / 15000
hp

Answers

Answer: P is independent and 2b is dependent

Step-by-step explanation:

If P=2b is the answer. Then the Independent Value is P and the Dependent Value is 2b.

Carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur are the strengths of the cell. The first four are the most significant since they are utilized to build the molecules required to create live cells.

What are the strengths and weaknesses of the cell model?

The models draw attention to characteristics that are less obvious in actual cells. Color is used by the models to highlight various components. example of a weakness The models are static, but real cells feature moving elements. While the models depict cross-sections in two dimensions, real cells are three dimensional.

The inadequacy of cellular models to accurately represent the function of complicated decision-making by human beings is one of their shortcomings. Although transition rules are handled probabilistically in Markov models and may be affected by temporal lags in cell response, cellular frameworks can be coupled with these models.

Carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur are the strengths of the cell. The first four are the most significant since they are utilized to build the molecules required to create live cells.

The complete question is:

What are the strengths and weaknesses of the cell model?

To learn more about the cell model refer to:

brainly.com/question/19450928

#SPJ7

what is the one thousand place in 981,443​

Answers

the 1! 9 is the one hundred thousand, 8 is the ten thousand, 1 is the on thousand, 4 is the one hundred, 4 next to the three is the ten place, and the 3 is in the tens place


so the 1!

Answer:

1 Is In The Thousands Place

Step-by-step explanation:

Uhm You Should Know This But Heres The Answer

900,000

80,000

1,000

400

40

3

An experiment consists of drawing a single card from a standard deck of 52 cards. Event A is "drawing a heart and event B is "drawing a face card
(jack, queen, or king)."
Are events A and B dependent or independent? Why?
Select the option that correctly answers both questions.
O Events A and B are dependent, because P(A) + P(BLA).
O Events A and B are independent, because P(B) = P(B|A) -
O Events A and B are dependent, because P(B) P(BA).
O Events A and B are independent, because P(A) = P(BA) = 4

Answers

Answer:

I just took workbook 26.2 and the answer is

ANSWER: events a and b are independent, because p(b) = p(b | a) = 3/13

Step-by-step explanation:

Simplify the expression:
3b+8c=

Answers

Answer:

Nothing further can be done to this equation.

Step-by-step explanation:

Since the variables dont match you can add, subtract, divide, or multiply the number.

Hope this helps : )

Answer:

The expression is simplified.

Step-by-step explanation:

Nothing can be done to it.

Jessica is 2 years older than Maggie. The sum of their ages is 26. Define variables and write an algebraic equation to represent the situation.

Answers

Let Maggie’s age be x
then Jessica's age is (x+2)
The sum of their ages (Jessica + Maggie =26) is (x+2) +x = 26
2x+2=26
2x=24
x=12 years (Maggie’s age) and Jessica's age is (12+2)= 14 years
(x+2) + x = 26 is the equation

every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Which customer will e the first to get both?

Answers

We are told that every 9th person gets free popcorn and every 6th person gets free apple juice at the movie theater. We want to show if the 36th person is the first to get both free popcorn and apple juice.
Since every 9th gets free popcorn, then the 9th and 18th and 27th and 36th people get it. We can use numbers and show this as multiples of 9.
9, 18, 27, 36, 45, 54, ...
And we repeat it for every 6th and the free juice.
6, 12, 18, 24, 30, 36,....
Shani thinks 36 comes first, and she's wrong. 18 appears on the list before 36 as something that's common. What are we finding is the lowest common muliple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
The lowest common multiple will have a 2, a 3, and a second 3 (because we don't double count). 2 x 3 x 3 = 18. This matches up to the list of multiples.

Thus, Shani is wrong that the 36th person gets both free items, as she did not account for the 18th person gettting both free items

help please!!!!! ASAPPPPPPPPPP

Answers

The answer is
-5/8+9/2=3 7/8 or 31/8
so you should put 31 in the green box

Find the missing value to the nearest hundredth. cos (______) = 3/7

Answers

Answer:

64.62

Step-by-step explanation:

[tex]cos(x)^{-1} = \frac{3}{7}[/tex]

On a piece of paper graph this system equation y=x-2 y= x2-6x+8

Answers

Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.

given the equation g(x)= – x2–5x + 12
find g(9)

Answers

Answer:

g(9) = 48

Step-by-step explanation:

g(x)= – x2–5x + 12

I'll assume this is

g(x)= – x^2–5x + 12

find g(9)

find g(9)

g(9)= – 9^2–5(9) + 12

g(9)= 81–45 + 12

g(9) = 48

Find the length of the missing side of these right triangles?

Answers

Answer: they are uneven

Step-by-step explanation: the 30 has to be 15 on each side and the 16 stays the same

Which of these is the standard form of the following function?
f(1) = -3(x + 6)2 + 6
OA. f) = 3.2 - 365 - 102
OB. f(1) = -3,2 - 361 - 102
OC. f(1) = 3.12 - 720 + 102
OD. f(1) = -342 - 725 - 102​

Answers

Answer:

The answer for this question is 3.2 minus 365 minus 102

BRAINLIEST !
The equation of a straight line is x + 2y + 6 = 0. write the equation in the form y = mx + c, state the gradient and y intercept.

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

x + 2y + 6 = 0 ( subtract x + 6 from both sides )

2y = - x - 6 ( divide terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

with gradient m = - [tex]\frac{1}{2}[/tex] and y- intercept c = - 3

Please help me I don’t understand a pi that well.

Answers

Pi is what helps us calculate the radius, diameter, and circumference of a circle.

choose the sentence that complete the fact family 5×6=30 30÷6=5 6×5=30 which one is correct a 30÷5=6 b 30÷3 =10 c 6÷2=3 d 30÷15=2 is it abc or d​

Answers

Answer:

B

Step-by-step explanation: its B.    because 2 means B in abc so yes

a rectangle with area 12 square units is dilated by a scale factor of k find the area of the image for each given value of k​

Answers

When the rectangle is dilated, the new and the old rectangles will have a different area

The area of the image of the rectangle is 12k^2

How to determine the area of the image

The area of the rectangle is given as:

A = 12

The scale of dilation is given as k.

So, the area of the image of the dilation is:

[tex]A_2 = A * k^2[/tex]

This gives

[tex]A_2 = 12 * k^2[/tex]

Evaluate the product

[tex]A_2 = 12k^2[/tex]

Hence, the area of the image of the rectangle is 12k^2

Read more about dilation at:

https://brainly.com/question/10253650

draw the line of symmetry in each figure below (please need answers asap!!)

Answers

Solution:

A line of symmetry is a figure that can be divided in 2 equal parts.

The first figure has 1 line of symmetry since it can be divided into 2 equal parts horizontally. (According to image)The second figure has 1 line of symmetry since it can be divided into 2 equal parts. (According to image)

I have drawn and attached the image!!~

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

The line of symmetry is the line that divides the figure in two equal parts.The figure could be either closed or open, it doesn't matter.Even the shape of figure doesn't matter, the only thing that should be observed is if the figure is equal on both sides or not.A line of symmetry can be drawn only when the figure is equal at both sides...

NO LINKS!!! Part 6 Please help me with this problem​

Answers

Answer:

14.93

Step-by-step explanation:

tan x = 4/15

tan x = 0.2666666667

x = inv tan 0.2666666667

x = 14.9314171799

x = 14.93

Hope this helps :)

Answer:

14.93°

step-by-step explanation:

Find the distance, (opposite side) above the basketball player:

distance: 10 ft - 6 ft = 4 ft

Given the distance(adjacent side) from the pole to player:

distance = 15 ft

Using tan rule:

[tex]\rightarrow \sf tan(?) = \dfrac{opposite }{adjacent}[/tex]

[tex]\rightarrow \sf tan(?) = \dfrac{4}{15}[/tex]

[tex]\rightarrow \sf ? = tan^{-1}(\dfrac{4}{15} )[/tex]

[tex]\rightarrow \sf ? = 14.93^{\circ \:}[/tex]

Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5 centimeters, and height of 6 centimeters. The trapezoid is divided into a rectangle and a right triangle. The height of the triangle is aligned with the width of the rectangle and it has a hypotenuse of 6.5 centimeters.

Answers

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

Perimeter: 29 cmArea: 49.5 cm²

How can the area and perimeter of the trapezium be found?

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid = 29 cm

Perimeter: 29 cm

The area of the trapezoid is given as follows;

[tex]Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}[/tex]

Which gives;

[tex]Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5[/tex]

The area of the trapezoid = 49.5 cm²

Area: 49.5 cm²

Learn more about the area and perimeter of geometric shapes here:

https://brainly.com/question/359059

https://brainly.com/question/11461461

PLEASE HELP ASAP!!! Evaluate 7p + 6(p ÷ q)^2 - 2q (if p = 6 and q = 3). Show your work and explain each step.
(no answer choices)

Answers

Answer:

[tex]60[/tex]

Step-by-step explanation:

Evaluate 7p + 6(p ÷ q)^2 - 2q (if p = 6 and q = 3)

[tex]7p + 6(p \div q)^2 - 2q\\\\7(6) + 6(6 \div 3)^2 - 2(3)\\\\7(6) + 6(2)^2 - 2(3)\\\\7(6) + 6(4) - 2(3)\\\\42 + 24 - 6\\\\66-6\\\\60[/tex]

Hope this helps!

Brainliest if correct

Answers

4w-4y-2

hope this helps

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