Which equation represents the vertical line passing through (1.-9)?
A X=-9
В. x= 1
C y=-9
D. y = 1

Given:

Zero: 2, multiplicity: 3

Zero: 0, multiplicity: 2

Degree: 5

Leading coefficient = 1

To find:

The polynomial function.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeroes with multiplicity [tex]m_1,m_2,...,m_n[/tex].

Using the given information and the general form of a polynomial, we get

[tex]P(x)=a(x-2)^{3}(x-0)^{2}[/tex]

[tex]P(x)=ax^2(x^3-6x^2+12x-8)[/tex]

[tex]P(x)=a(x^5-6x^4+12x^3-8x^2)[/tex]

Leading coefficient is 1, so the value of a is also 1.

[tex]P(x)=1(x^5-6x^4+12x^3-8x^2)[/tex]

[tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex]

Therefore, the required polynomial is [tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex].

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

Leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in general form we can write the equation of polynomial as follows

[tex]\rm y (x) = a(x-\alpha)^m (x-\beta)^n........(1)\\Where \\a = Leading \; coefficient\; of\; polynomial\; expression \\\alpha ,\beta = Roots \; of \; the\; polynomial\; expression\\m\; and \; n \; are \; multiplicities \; of \; the \; roots \; \alpha,\beta \; respectively\\Degree = m+n[/tex]

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in equation (2)

[tex]\rm y(x) = 1\times (x-2)^3(x-0)^2 .......(2)[/tex]

So the polynomial for the conditions given in question is expressed as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

For more information please refer to the link given below

https://brainly.com/question/15301188

Answer:

D. $56.94

Step-by-step explanation:

52 * 0.095 = 4.94

Add $52 + $4.94

Answer:

D

Step-by-step explanation:

sry if im wrong i tried

Answer:

0; 1; 2; 3. The slopes are 2, 0, 1, 3 from top to bottom, but from least to greatest it is 0, 1, 2, 3

Answer:

I think OA because you would need to know how much yarn for each cap and how many caps she will make

Answer:

80%

Step-by-step explanation:

70-14=56

56/70=80%

Answer:

"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

Answer:

4/18

Step-by-step explanation:

Answer:

you have to divide the gallons with the money per gallon

Step-by-step explanation:

Answer:

$842.40

Step-by-step explanation:

2.70 x 312

Answer:What’s the question that we have to answer?

Step-by-step explanation:

Answer: it would be 2 1/3 cups

Step-by-step explanation:

Answer:

J.

Step-by-step explanation:

It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.

Answer:

Work shown below;

Step-by-step explanation:

Factor by grouping:

[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]

Answer:

y=1/4x-7; can't put graph on here

Step-by-step explanation:

m=y2-y1/x2-x1

m=-8+6/-4-4=-2/-8=1/4

put it in point-slope form with (4,-6) as the base

y-y1=m(x-x1)

y+6=1/4(x-4)

y+6=1/4x-1

y=1/4x-7

Answer:

The number is 623.

Step-by-step explanation:

[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]

dbhzhxgushshebnxjxjkxdhxhdh bdbdhxjdnbdbdb

Answer:

x=-14

Step-by-step explanation:

think the number is x

According to the question

x/7+12=10

=>x+84=70 (multiply both side by 7)

=>x=70-84

x=-14

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)

Step-by-step explanation:

Answer:

They are supplementary angles so they add up to make 180°

So you do the reverse

180°-100°=x

80°=x

Step-by-step explanation:

Please give me brainliest

Answer:

for the domain, find the point on the farthest side (the left) and the closest (the right)

so for yours it would be [-3,2]

it's brackets because the points are closed.

for the range, same thing but for the y intercept.

so it's [-2,4]

there's your answer!

Answer:

The required equation of the line is:

[tex]y=\frac{1}{4}x-1[/tex]

Step-by-step explanation:

Given the equation

[tex]y=-4x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is  -4.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x-8\right)[/tex]

add 1 to both sides

[tex]y-1+1=\frac{1}{4}\left(x-8\right)+1[/tex]

[tex]y=\frac{1}{4}x-1[/tex]

Answer:

1/3 or 3.33

Step-by-step explanation:

There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.

I hope this helps and good luck!

Answer:

1/3 or 3.3333333333333333333 repeating

Step-by-step explanation:

A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating

I Hope That This Helps! :)

Answer:

y=2x

it already gives you that in 2 hours four inches of snow has fallen. to find one hour you would basically just divide it in half

Answer: the length of GH is half the length of KL

Step-by-step explanation: edge 2021

Answer:

a and d are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

800+20%

20%= (20/100)

800/100=8*20=160

add to original price= 800+160=960