p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.

Answers

Answer 1

Answer:

P(x) =  -0.69x³ + 2.76x² - 11.04x + 44.16

Step-by-step explanation:

Let P(x) is the function with zero's 2 and 4i.

It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.

The function has the shape of:

P(x) = a(x - 2)(x - 4i)(x + 4i)

And we have P(0) = 22.08

Let's substitute and find the value of a:

22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69

The function is now:

P(x) = -0.69(x - 2)(x - 4i)(x + 4i)

      = -0.69(x - 4)(x² + 16)

      = -0.69(x³ - 4x² + 16x - 64)

      = -0.69x³ + 2.76x² - 11.04x + 44.16


Related Questions

is 24:4 equivalent to 6:1

Answers

If you divide 24 and 4 by 4 then you would get 6 and 1, so yes it is equivalent.

this week sage spent $30 for hot dogs and supplies. he earned $18. Did he make money or lose money this

Answers

Answer:

He lost $12.

Step-by-step explanation:

Money Earned=$18

Money Spent=$30

Here, Money Spent is larger than Money Earned, which means that he lost money.

$30-$18

$12

He lost $12.

Answer:

he made money and lose money this week

Step-by-step explanation:

HOpe this helps

What do I put in the blank box? Could you also add step by step explanation? If you cant its fine :)

Answers

Answer:

its 34/5

Step-by-step explanation:

change that mixed fraction by simply multiplying 6×5 then add 4 you'll get 34 then place it over the denominator 5 =34/5........ hope it helps

What is -(x + 4) - 3x = x in Distributive property?

Answers

Answer:

x = -4/5

Step-by-step explanation:

Original equation: -(x+4)-3x=x

Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.

-(x+4) = -x-4

= -x-4-3x=x

Now we combine like terms in this case we have (-x) and (-3x)

= -4x-4=x

Subtract x from both sides

= -4x-4=x

  -x      -x

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

 -5x-4=0

Add 4 to both sides

-5x-4=0

    +4 +4

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

-5x=4

Our final step is to divide both sides by -5

-5x=4

----  ----

-5    -5

x = -4/5

Hope this helps!!!

Graph the inequality. x < 2

Answers

Step-by-step explanation:

there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2

pls correct answer for brainliest answer

Answers

Step-by-step explanation:

let tye number Ahmed thinks be x.

so, a/q

the equation is,

2x/5 = 4

2x = 4×5 = 20

x = 20/2

x = 10

therefore, he thinks the number 10.

hope this answer helps you dear!

Answer:

10

Step-by-step explanation:

I'm doing it from the end.

if the answer is 4, you have to multiple it by 5 and then divide it by 2

4 x 5 ÷ 2 = 10

10 multiple by 2 is 20 and 20 divided by 5 is 4 so

10 is correct answer

10.
Find the measure of angle 1.
8x - 4
16x + 8

Answers

the answer is C: 44 degrees

Answer:

53°

Step-by-step explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2

Now calculate the angles of ∠3 and ∠7.

∠36x+86×15/2+845+853°

∠78x-78×15/2-760-753°

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

∠3 = ∠7 = ∠1 = 53°

Hence the measure of ∠1 is 53°.

♦♦♦♦♦Hope it helps♦♦♦♦♦

PLEASE help!! I’ll give brainliest!!

The graph shows the number of gallons in a pool being drained and
represents a linear function.

Which statement about this function is correct?

A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.

B. The y-intercept is (0, 8500), and the 8500 represents the number of
gallons drained per hour.

C. The y-intercept is (8500, 0) and represents the number of hours it
takes to drain the pool.

D. The y-intercept is (8500,0) and represents the number of gallons
drained per hour.

Answers

Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number

of gallons before draining the pool.

Step-by-step explanation:

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The graph shows the number of gallons in a pool being drained and represents a linear function.

Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,

(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)

y - 6340 = - 540x + 2160

y = - 540x + 8500

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

In the inequality 4>-4, which number appears farther right on a number
line and why?
O A. -4 appears farther right because -4 is smaller than 4.
O B. -4 appears farther right because - 4 is larger than 4.
C. 4 appears farther right because 4 is larger than -4.
D. 4 appears farther right because 4 is smaller than -4.
PLEASE HELP ASAP!! THIS IS ONE OF MY FINAL TEST… AKA- ITS MOST OF MY GRADE

Answers

Answer:

"C" 4 appears farther right because 4 is larger than -4.

i am confused and this is my last test on my khan academy due list

Answers

Answer:

[tex]3^{3}[/tex]= 3*3*3 or 27

[tex]4^{3}[/tex]= 4*4*4 or 64

[tex]3^{4}[/tex]= 3*3*3*3 or 81

Step-by-step explanation:

Hope this helps! :)

Answer:

[tex]X^{3}[/tex] = [tex]3^{3}[/tex] = 3*3*3 = 27    ( Because X is equal to 3 )

[tex]4^{X}[/tex] = [tex]4^{3[/tex] = 4*4*4 = 64

[tex]X^{4}[/tex] = [tex]3^{4}[/tex] = 3*3*3*3 = 81

Step-by-step explanation:

Hope this helps!

Please solve no.a) from here for me

Answers

Answer:

x < 1 and x > -2

Step-by-step explanation:

5x - 1 < 4 and 3x + 5 > x + 1

Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.

5x < 5 and 3x + 5 > x + 1

Step 2.) Divide 5 by 5 to get the variable alone

x < 1 and 3x + 5 > x + 1

Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4

x < 1 and 2x > -4

Srep 5.) Divide -4 by 2 to get the variable alone and you get -2

x < 1 and x > -2

somebody please just answer.......................

Answers

Answer:180 is what it need to be

Step-by-step explanation:

help please !! geometry​

Answers

2 and 5. Because of congruence rule. It tries to confuse u but don’t let it. Also always remember if those lines are there u know there congruent no matter what.

the heights in cm of some pupils are 138 119 182 174 142 117 152 152

Answers

mean; 147

median; 147

mode; 152

a
Convert 0.58 into
percentage

Answers

Answer:

58%

Step-by-step explanation:

Answer:




Is 58% converted from 0.58

PLEASE HELP ILL MARK BRAILIEST!!!!!

Answers

Answer:

(-6,2)

Step-by-step explanation:

Answer:

y=4/5x-17/5

Step-by-step explanation:

Hope this helps!

The second picture is the same as the picture you have thus the equation is correct

HELP PLEASE SHOW ME HOW TO DO THIS

Answers

Answer:

Step-by-step explanation:

Salary increase in 2 years = Salary in fifth year - salary in 3rd year

    = 87,023 -  43,250

     = $ 43,773

Salary increase per year= 43773/2 = $ 21,886.50

Can someone answer this for me

Answers

x=60° (equilateral triangle)

y=120°
Working: (360°-120°)/2

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The two corresponding angles of the Triangles are equal and the the side between them is common between them (so equal).

So, the stated triangles are congruent by :

ASA criterion.

A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?​

Answers

Answer:

6 loads would be required to fill the truck with 2¼ tons

Step-by-step explanation:

1 ton= 2000 pounds

2¼ tons= 4500 pounds

4500/750=6

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

Thank you,

Miss Hawaii

Answer:

6 loads

Step-by-step explanation:

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

Step-by-step explanation:

(1860-11)=1849

√(1849) = 43

(A quick trial)

find f'(x)of f(x)=x^2-6x​

Answers

Answer:

[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]


The difference of half
of a number and three
is equivalent to
negative
five.

Answers

3/2=3-5

Step-by-step explanation:

jdjdnsnsnsmanzna

Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)

Answers

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 6

2.

4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

[tex]\sf 8x-6+4x[/tex]

Combine like terms:

[tex]\sf (8x+4x)[/tex]

[tex]\sf 12x[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

[tex]\sf (4x+(-6x))[/tex]

[tex]\sf -2x[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\sf 17[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]

Answers

Step-by-step explanation:

= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex](a+1)(\sqrt{a} +2)[/tex]

please give me a brainliest answer

Dont leave any links please

Answers

Answer:

m^2/n

Step-by-step explanation:

The following laws of exponent are useful to this problem:

[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]

We are given the expression:

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]

Use the first law of exponent above.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]

Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.

From the expression, apply the second law of exponent to n^-1.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]

Multiply m in.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]

Thus the answer is m^2/n.

the length and breadth of a piece of land are 20meters and 15 meters respectively. What is the perimeter of this land?

Answers

Answer:

20x15=300

When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.

Step-by-step explanation:

When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.

2x4=?

When you do 2x4, you have to do 2+2+2+2=

but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.

I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.

Thank You! I hope I made your day just a little better!

Have a great time studying!

You just multiply both those numbers by two then add them together

Helppp I will give u 100 if you give me a good answer

Answers

Answer: it allows you to see both sets of data more clearly and compare them rather than having them on two different charts.

Step-by-step explanation:

Help! What can we do to kill off the zombies?? The scientists realize that salt kills the zombies, if enough is poured on them (one full can). The reaction between the salt and zombie blood causes the zombie to disintegrate. Morton's salt has a plant in Tooele county just west of Grantsville, and can distribute cans of salt to people residing in Utah. If Morton's salt can distribute 300,000 cans of salt each day, write an equation to model the number of cans of salt distributed after n days.

Question 4 options:

f(n)=300,000n

f(n)=300,000+n

f(n)=300,000n

f(n)=300,000n/n

Answers

Answer:

I think its f(n)=300,000n

Step-by-step explanation:

Answer:

f(n)=300,000n

Step-by-step explanation:

In the algebraic expression 5x + 8y – 12z, the values 5, 8, and –12 are _____

Answers

Answer:

Coefficients!!!

Step-by-step explanation:

They're numbers that are multiplied by a variable.

Answer:

Step-by-step explanation:

I believe the answer would be coefficients. Coefficients are the number that is being multiplied by the variable.

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