Create polynomial functions using the given information:
A degree 9 polynomial with at max 5 positive zeros and at max 3 negative zeros

Answers

Answer 1

It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :

X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X

This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5

And it has 3 negative zeros : - 1, -1, - 3

And it has 0 as a zero too.

There is also this one :

(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144

It has 4 positive zeros : 1, 2, 3, 4.

It has complex zeros : i and - i

3 negative zeros : - 1, - 2 , - 3

Good Luck


Related Questions

Please answer! Only if correct, please.

Answers

Answer:

f(-4) = -6

g(2) = -14

Step-by-step explanation:

To evaluate a function we must plug in the values of x. So for:

f(x) = 2x+2

we have:

f(-4) = 2(-4)+2

then we simplify:

f(-4) = -8+2

so f(-4) = -6

Now the same steps are taken for g(x) in which the answer would be -14.

find the slope and y intercept of y = -2x -18

Answers

Answer:

Slope = -2

y-intercept = -18

Step-by-step explanation:

In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.

Hope this helps you :)

when 8 is subtracted from a certain number and the result is multiplied by 3 and the answer is 21 what is the original number

Answers

Step-by-step explanation:

The Real Answer Is 63

Maybe Positive Or Negative

Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.

Answers

Answer:

f(x) = 15x + 1,000

Step-by-step explanation:

y = mx + b

the 15 is the slope or rate and 1000 is the fixed value ( y intercept)

The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.

Answers

Answer:

{-8, 3, 4, 7}

Step-by-step explanation:

range is y values in the ordered pairs

{-8, 3, 4, 7}

What decimals are equal to 1.5^3

Answers

Answer:

3.375

Step-by-step explanation:

What is 5 times 9 divided 5 add 40 subtract 100

Answers

Answer:

-51

Step-by-step explanation:

Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4

Answers

Answer:

Step-by-step explanation:

would be nice to have a look at the options.

Here's a few I could come up with

44

32 + 12

8(4) + 3(4)

11(4)

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?

Answers

Answer:

Copies cost for the first case = $ 12

Copies cost for the second case =$16

Number of Copies = 4

Step-by-step explanation:

Let the number of copies = N

. for the first case: total cost (T1) = 38 + 3N

. for the second case: total cost (T2) = 34 + 4N

Determine the ‘N’ when the cost is equivalent

So, 38 + 3N = 34 + 4N

38 – 34 = 4N – 3N

N = 4

Therefore, number of copies = 4

Copies cost for the first case = 3 × 4 = $12

Copies cost for the second case = 4 × 4 = $16

#1.

Set up fee=$38Cost per copy=$3

Expression

[tex]\sf\longmapsto 38+3x[/tex]

#2

Set up fee=$34Cost per copy=$4

Expression

[tex]\sf\longmapsto 34+4x[/tex]

Now

[tex]\sf\longmapsto 4x+34=3x+38[/tex]

[tex]\sf\longmapsto x=4[/tex]

There were 4copies

$10.25 per hour x 25 hours round to the nearest cent

Answers

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

which one is true and why

Answers

Answer:

the first one is true

Step-by-step explanation:

√36>5 = 6>5

7<√10 = 7<3.162

√9>√25 = 3>5

Therefore, the first one is correct

Solve the inequality -3/4(12x+16)<9-5x.

Answers

Answer:

x > -21/4

Step-by-step explanation:

Answer:

x > -24/4

Step-by-step explanation:

-3/4 (12x + 16) < 9 - 5x

-3/4 * 12x - 3/4 * 16 < 9-5x

-9x - 3/4 * 16 < 9 - 5x

-9x - 12 < 9 - 5x

-4x - 12 < 9

-4x < 21

Find m/_ABC if BD is an angle bisector of ABC

Answers

Answer:

im not quite sure but i think u do it like this:

Step-by-step explanation:

4x-6=x+6

(add 6 to both sides as well as subtracting x from both sides)

3x=12

(divide 3 from both sides)

x=4

Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?

Answers

Answer:

24.49

Step-by-step explanation:

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

if a2-b2=c2. find c if a=5 and b=3

Answers

Answer:

c=2

Step-by-step explanation:

translation:

5x2-3x2=c2

10-6=4

4=c2

4/2=c2/2=c=2

When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].

Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.

Substituting a = 5 and b = 3:

[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]

Taking the square root of both sides:

c = √16

c = 4

Therefore, when a = 5 and b = 3, the value of c is 4.

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Complete Question:

If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.


What is the decimal multiplier to decrease by
15%?

Answers

Answer:

0.85

Step-by-step explanation:

Answer:

first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity

Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?


Answer options:

5 in


59 in


7 in


62 in

Answers

Answer:

62 in

Step-by-step explanation:

the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.

Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm

Answers

Answer:b

:D

Step-by-step explanation:d

504

A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.

Answers

Answer: 13 3/4

Step-by-step explanation:

The gopher’s new elevation relative to the surface of the ground will be

[tex]13 \frac{1}{4}[/tex] inches.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.

And, Then digs [tex]7 \frac{1}{2}[/tex]  in. deeper.

Now,

The gopher’s new elevation relative to the surface of the ground will be calculated as;

⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]

⇒ 25/4 + 15/2

Make denominators same as;

⇒ 25/4 + 30/4

⇒ (25 + 30) / 4

⇒ 55 / 4

⇒ [tex]13 \frac{1}{4}[/tex] inches.

Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.

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The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon​

Answers

Given that

The cost of 1 m ribbon = Rs.75

The cost of 7/5 m ribbon

→ (7/5)×75

→ (7×75)/5

→7×15

→₹ 105

The cost of 7/5 m ribbon is ₹105.

You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided

Answers

Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.

First thing to do is to add up the numbers in the ratio:

= 1 + 2 + 0.5

= 3.5

The amount that Zach invested is:

= Zach's ration/ Sum of ratio x Amount invested

= 1 / 3.5 x 360,000

= $102,857.14

In conclusion, Zach invested $102,857.14.

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Describe fully the tranformation that takes shape P to shape Q

Answers

Answer:

Enlargement (aka: Dilation)

Step-by-step explanation:

As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.

Answer:

dilation by a scale factor by 3 about (1, 0)

Step-by-step explanation:

it is dilation by a scale factor of 3

see the below picture to find the center of dilation formula

(2, 1)  (4, 3) points of transformation

center = (3*2 - 4 / 3 - 1,  3*1 - 3 / 3 - 1)

= ( 6 - 4 / 2,  0)

= (1, 0)

so single transformation is  dilation by a scale factor by 3 about (1, 0)

How to factor out a polynomial with a 3rd degree.

Answers

Answer:

How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256

Answer:

long division is probably the simplest method of finding out the factors

Step-by-step explanation:

For example,  let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.

HELP IF CORRECT WILL GIVE BRAINLIEST (if you are trying to play around i will report u u-u)

Answers

Answer:

synthetic.

Step-by-step explanation:

I don't know how to give a step by step.

Answer:

Well I don't have the previous reading stated in the question obviously, but fossil fuels are natural resources. They form from decomposing plants and animals and are mainly found in the Earth's crust. These fuels are made of hydrogen and carbon which can be burned for energy.

I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?

Answers

Answer:

The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.

A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?

Answers

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

The acceleration of the car after t seconds that the brake was applied is given as:

[tex]a=-0.08t m/s^2[/tex]

The speed of the car after  3 seconds that the brake was applied, u = 5 m/s

The speed of the car when it eventually stops, v = 0m/s

3 seconds after the brake was applied:

The time, t = 3 seconds

substitute t = 3 into the acceleration  [tex]a=-0.08t m/s^2[/tex]

[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]

To calculate the distance traveled by the car after the brakes are applied, use the equation below

[tex]v^2=u^2+2as[/tex]

Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance

[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

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What’s 28,561 in expanded form

Answers

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.

Answers

Answer:

L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money

Step-by-step explanation:

so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10

the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4

of the three lines in the graph one has slope m = 1 one has slope m = 2, and one has slope m = 1/5.
Put the lines in order from greatest to least slope.​

Answers

Answer:

1/5    1   2  

Step-by-step explanation:

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