PLZZ HELP!

Enter the value for h for each of the functions below in the
table below. Sketch the functions on the graph on the
left. (f (x) = x2 is graphed for you in red.)
Function
h=
f(x) = (x-6)2
f(x) = (x+3)2

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:

Step-by-step explanation:

same lenghts for sides, same measurements for angles and the orientation of the points is preserved

Answer:

22 mi ²

2×(1×1 + 1×5 + 1×5) = 22

Goodluck!

Given :

A Caterer Charges $275 for a 3 hour event  and $425 for a 5 hour event.

To Find :

The rate of change for this situation.

Solution :

Price per hour ratio for 3 hour event :

[tex]R_1= \dfrac{275}{3}[/tex]

Price per hour ratio for 5 hour event :

[tex]R_2= \dfrac{425}{5}[/tex]

Now, change in ratio :

[tex]R = R_1-R_2\\\\R = \dfrac{275}{3}-\dfrac{425}{5}\\\\R = \dfrac{100}{15}\\\\R = \dfrac{20}{3}[/tex]

Therefore, rate of change for this situation is [tex]\dfrac{20}{3}[/tex] .

Hence, this is the required solution.

Answer:

#2- A

#3- D

#4-1

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

c hj utschu85rx bcvb

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

4a + 4b - 2

Step-by-step explanation:

To evaluate h(a + b) , substitute x = a + b into h(x), that is

h(a + b) = 4(a + b) - 2 = 4a + 4b - 2

Answer:

Aniyah does not have enough for 14 cups, and needs 1 1/6 more.

Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.

Representing the problem thus:

4 cups of trail = 2/3 cups of raisins

14 cups of trails = x

Cross multiply

4x = (2/3) × 14

4x = 28/3

x = (28/3) ÷ 4

x = (28/3) × (1/4)

x = 7/3

Cups of raisins Aniya has = 1 1/2 = 3/2

Extra cups needed = 7/3 - 3/2 = 7/6 cups

Therefore, Aniya does not have enough, she needs 7/6 more cups.

Learn more : https://brainly.com/question/18998711

Answer:

x=5 y=1

Step-by-step explanation:

Like x^2-4x+3=0 or sin(x)=1.

short answer is that x equals 1.

Answer:

9x

Step-by-step explanation:

Answer:

C= 66°

B= 74°

A= 35°

Step-by-step explanation:

sorry I don't have much time to explain- but I hope this answer helps

Answer:

1140

Step-by-step explanation:

52/x=20/100

52(20)=100(x)

52(20) = 1040

100(x) = 100

1040+100= 1140

Price she paid, P = $80 .

She sells the bicycle at 1/4 of the price she paid.

Let, buying price is x.

So, as given in question selling price will be x/4.

Also, selling price is given as $80 .

[tex]\dfrac{x}{4}=80\\\\x = \$320[/tex]

Therefore, Steph pay $320 for the bicycle.

Hence, this is the required solution.

Answer:

[tex]\boxed {129\textdegree}[/tex]

Step-by-step explanation:

Both angles labeled, are actually Supplementary Angles (which two angles that add up to [tex]180\textdegree[/tex]). So, to find the missing measurement of an angle, which is the angle labeled in [tex]x[/tex], you need to take [tex]51\textdegree[/tex] and subtract it from [tex]180\textdegree[/tex] to get the missing angle measurement:

[tex]180\textdegree - 51\textdegree[/tex]

[tex]\boxed {129\textdegree}[/tex] (angle measurement for the angle labeled in [tex]x[/tex])

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Answer:

6.3  repeating

Step-by-step explanation:

Answer:

Switch .91 and .19 and you're good

Step-by-step explanation:

Answer:

here, np

Step-by-step explanation:

-2.86

-0.37

0.19

0.91

1.46

She used the associative property which should only be used with positive numbers (sorry if it isn't the answer you're looking for)

Answer:

She used the associative property which should only be used with positive numbers ( my bad I’m sorry if it wrong)

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

I did the following expressions:

1,350 / 75 = 18

1,080 / 60 = 18

Step-by-step explanation:

[tex]6x + 6 - x - 2 = 39[/tex]

[tex]5x + 4 = 39[/tex]

[tex]5x = 39 - 4[/tex]

[tex]5x = 35[/tex]

[tex]x = 35 \div 5[/tex]

[tex]x = 7[/tex]

See attachment for math work and answer.

Answer:

c

Step-by-step explanation:

Answer:

4x8=32

Step-by-step explanation: