A polynomial function has a degree 4, a negative leading coefficient, and real zeros 3 with multiplicity 2, -2 with a multiplicity of 1, and -3 with a multiplicity of 1

Answers

Answer 1

Answer: p(x) = -n*(x - 3)^2*(x + 2)*(x + 3)

Step-by-step explanation:

For a polynomial whit roots a, b, c, d, e, ... (Where those numbers are not necessarly different)

We can write a polynomial with those roots as:

A*(x -a)*(x - b)*(x - c)*....

Where A is a real number, and it's the leading coefficient (The coefficient that multiplies the highest power term)

In this case we have the roots:

3, 3, -2 and -3 (3 is two times, because it has a multiplicity of 2)

Then this polynomial can be written as:

A*(x - 3)*(x - 3)*(x + 2)*(x + 3)

And we know that the leading coefficient is negative, then we can write:

A = -n, where n > 0.

Then our polynomial is:

p(x) = -n*(x - 3)^2*(x + 2)*(x + 3)


Related Questions

What is the increasing interval?

What is the decreasing interval?

What is the maximum?

What is the minimum?

What is the axis of symmetry?

Please help me

Answers

Answer:

The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Answer:The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Step-by-step explanation:

-6 = 2/3r solve for r

Answers

r=-9


explanation: because

Answer:

r=9

Step-by-step explanation:

Mr.martin bought a microwave that was originally priced at 255$. He recieved a 30% discount. What is the sale price of the microwave?

Answers

Answer:

178.5$

Step-by-step explanation:

A 27- inch long ribbon was cut into 4 equal lengths. How long was each piece of ribbon?

Answers

Answer:

6.75 I think

Step-by-step explanation:

Just do 27 divided by 4

Your friend, Broseph, recently graduated from the University of Bros. During his last semester he passed "Introduction to Brotistics with an Emphasis on Tinder Applications". His final project required that he use the Binomial Distribution to calculate the probability of going on a date with more than half of his next 20 Tinder matches.

Broseph found that he had a 64% chance of going on a date with any given Tinder match from historical data.

Broseph should use the ____________ to calculate the probability. Since he is calculating the probability of going on dates with more than half of his next 20 matches--the number of successes is ________ , n = ________ , and p = ______ .

Broseph has a __________ chance of going on dates with at least half of his next 20 Tinder matches. Round the answer to nearest tenth as a percentage i.e. 14.2%.

Answers

Answer:

I need to know the net percentage to to calculate the quadratic function

Step-by-step explanation:

Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.
104 inches
146 inches
154 inches
168 inches plzzzz help

Answers

I’m pretty sure it’s the third one but I’m sorry if I get it wrong

Answer:

168 is the correct one hope it helped

Step-by-step explanation:

Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time. Henry's balloon begins 25 miles from the town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y= 7x + 15

Which ballon was farther from the town at the beginning, and which traveled more quickly?

A. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

B. Henry's balloon was farther from the town at the beginning, and it traveled more quickly.

C. Tasha's ballon was farther from the town at the beginning, but Henry's balloon traveled more quickly.

D. Tasha's balloon was farther from the town at the beginning, but it traveled more quickly.



Please help!!

Answers

Answer:

A

Step-by-step explanation:

solve nt+6-xt=s for t

Answers

Answer:

[tex]t=\frac{s-6}{n-x}[/tex]

Step-by-step explanation:

[tex]nt+6-xt=s[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]nt+6-xt-6=s-6[/tex]

[tex]Simplify[/tex]

[tex]nt-xt=s-6[/tex]

[tex]nt-xt[/tex]

[tex]=t\left(n-x\right)[/tex]

[tex]t\left(n-x\right)=s-6[/tex]

[tex]\frac{t\left(n-x\right)}{n-x}=\frac{s}{n-x}-\frac{6}{n-x};\quad \:x\ne \:n[/tex]

[tex]t=\frac{s-6}{n-x}[/tex]

Therefor the value of t after arrangement is t = (s-6)/(n-x)

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.

In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.

Given equation is  nt+6-xt=s

Now solving for t by separately variables and constant :

 nt+6-xt=s

t(n-x) = s-6

t = (s-6)/(n-x)

Therefor the value of t after arrangement is t = (s-6)/(n-x)

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Help me pls
Jehsksvdksbshzjdhs

Answers

Answer:

5

Step-by-step explanation:

formula is y=kx where k is constant of variation

then k=15/3=5

are 3 6 9 12 15 and 18 a related function

Answers

yeah bc they all share 3
Yes, they are shared the number 3!

Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he rides at an average of 15 miles per hour. What is x in real world context?

Answers

Answer: 11.3 hours

Step-by-step explanation:

Before this question is another asking for an equation depicting this with Jordan's progress in miles (y) after a number of hours (x).

That would be y = 15x

x in the real world context would be the number of hours it would take for Jordan to finish the 170 mile bike race.

To solve this make y to be 170 and solve for x.

170 = 15x

x = 170/15

x = 11.3 hours

which statements about the trend line in item 3 are true? select all that apply.​

a. the slope is the cost of one book
b. the slope is the cost if Hana's lunch
c. the y-intercept is the cost of one book
d. the y-intercept is the most if Hana's lunch​

Answers

Answer: A and D

Step-by-step explanation:

I took the test online and the answer is A and D the y intercept is the cost of her lunch and the slope is the cost of one book

The true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch​.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

as, from the graph the slope tells us about the  cost of one book.

Now, From the graph if we talk about y- axis then we can see that the y- axis tells us about cost if Hana's lunch​.

Hence, the true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch​.

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Name the bases of the prism

Answers

Answer:

D

Step-by-step explanation:

im 79% sure

Monica uso 1,2 litros de leche para hacer 12 flanes iguales ¿cuantos litros de leche necesitaria para hacer 60 flanes? ¿cuantos flanes haria con 0,5 decalitros de leche?

Answers

Answer:

1. 6 L de leche.

2. 50 flanes.

Step-by-step explanation:

1. Determinación del volumen (en litros) necesario para realizar 60 natillas.

De la pregunta dada arriba,

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará xL de leche para hacer 60 natillas, es decir

xL de leche = (1.2 × 60) / 12

xL de leche = 6

Por lo tanto, necesitará 6 L de leche para hacer 60 natillas.

2. Determinación del número de flanes (natillas) que se pueden producir utilizando 0,5 decalitros de leche.

Empezaremos por convertir 0,5 decalitros (deca) a litro (L).

Esto se puede obtener de la siguiente manera:

1 deca = 10 L

Por lo tanto,

0.5 deca = 0.5 deca × 10 L / 1 deca

0,5 deca = 5 L

Por tanto, 0,5 deca equivale a 5 L.

Finalmente, determinaremos el número de flanes (natillas) que se pueden obtener a partir de 0.5 deca (es decir, 5 L) como se muestra a continuación:

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará 5 L de leche para producir = (5 × 12) /1.2 = 50 natillas

Por lo tanto, puede hacer 50 flanes (natillas) usando 0.5 deca (es decir, 5 L).

Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC

Answers

I'm pretty sure this is the right answer..

6,780,000 in scientific notation

Answers

Answer:

105 = 100,000 x 6.78 = 678,000

Step-by-step explanation:

Answer:

6.78 x 10 ^ either -6 or positive 6

Step-by-step explanation:

move the decimal to make it a number between 1 and 10

The total price of apples (y) at an orchard can be calculated with the equation y=1.25x+5, where x is the number of pounds of apples picked. What does the slope represent?

Answers

Given:

The total price of apples (y) at an orchard can be calculated with the equation

[tex]y=1.25x+5[/tex]

where, x is the number of pounds of apples picked.

To find:

The interpretation of slope for the given situation.

Solution:

The slope intercept form is

[tex]y=mx+b[/tex]       ...(i)

where, m is slope and b is y-intercept.

We have,

[tex]y=1.25x+5[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=1.25, b=5[/tex]

Slope = 1.25.

We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.

Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.

slope = 6/5 , y- intercept = -3 write the slope-intercept form of the equation

Answers

Answer:

y=6/5x-3

Step-by-step explanation:

Just remember this formula

y=mx+b

So the m is out slope and the b is our y-intercept

Just subtitute m to 6/5 and y-intercept to -3

I really hope you understood

Can someone please help me!! I been struggling for hours on this problem. I need to find a 5-digit code, if anyone could get my answer by midnight it would help a lot. :)

Answers

Answer:I wrote an equations for A & D

Step-by-step explanation:

Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

Answers

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7)

0.356

b) log₇ (¹⁴⁷/₁₆)

log (¹⁴⁷/₁₆)

        log (7)

1.1397

help me
I need someone.
plsss​

Answers

Answer:

it would be an arrow facing up

The arrow point will be facing upwards

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

Answers

Answer:

(-3,1), (3,-2), (1,5), (4,6)

Step-by-step explanation:

For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.  

The inverse relation for the given relation is  {(-3, 1), (3, -2), (5, 1), (6, 4)}.

What is relation?

A relation in mathematics can be defined as a set of a pair of elements belonging to each set. It is also called as a mapping from one set to the other.

The given relation is { (1, -3), (-2, 3), (5, 1), (6, 4) }.

The domain of the given relation is set of all the first elements of each pair and the range is the set of all the second elements of each pair.

The range and domain set can be written as,

Domain = {1 , -2, 5, 6 }

Range =   {-3, 3, 1, 4}

In order to find the inverse relation the domain and range sets sre interchanged.

Thus, the inverse relation for the given relation can be written as,

{(-3, 1), (3, -2), (5, 1), (6, 4)} .

Hence, the inverse relation is given as {(-3, 1), (3, -2), (5, 1), (6, 4)}.

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Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation

Answers

Answer:

A

Step-by-step explanation:

look it up on google

Answer:

d

Step-by-step explanation:

At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown.​

Answers

Answer:

The number of pounds of food harvested by each employee is proportional to the number of hours worked

Step-by-step explanation:

Divide 540 in ratio 2:1

Answers

Answer:

180:360

Step-by-step explanation:

so its basically saying make it 1/3 and 2/3 so start with dividing it by 3 to get 180 thats your first answer for 1/3 to get 2/3 simply double that and you have 360 so the answer is 180:360

(1.8 x 10°) (6.7 x 1012)

Answers

Answer:

did you type that correctly?

Step-by-step explanation:

(BRANLIEST IF CORRECT)Your balance sheet shows $6,400 worth inventory in hair products. Items are recorded in inventory at cost, and the average cost per unit is $2.43. How many untidy of hair products do you have?
A) 2,467
B) 2,510
C)2,576
D)2,634

Answers

Answer:

D

Step-by-step explanation:

Divide 6,400 by 2.43

Answer:

D) 2,634

Step-by-step explanation:

Drag and drop the steps to show the process for finding the inverse of the function below.

h(x)=x−43

Answers

Answer

h^-1(x)= x+43

Explanation

h(x)=x-43

Use substitution

y=x-43

Interchange the variables

x=y-43

Swap the sides

y-43=x

Move the constant to the right

y=x+43

Use substitution

h^-1(x)=x+43

Mark which ratios are equivalent to 5/7. Mark all that apply.
2/6
3/6
5/10
10/14
50/100
20/28
1/3
8/24

Answers

Answer:

5/10 20/28

Step-by-step explanation:

i think only these.. hope this helps..

Answer:

10/14

Step-by-step explanation:

5x2=10

7x2=14

Brenda won 59 lollipops playing hoops at
the county fair. At school she gave two to
every student in her math class. She only
has 1 remaining. How many students are
in her class?

Answers

30. since there is 1 remaining, you take that away from 59, leaving you with 58. you would then divide 58 by 2 since each classmate gets 2. that results in the final answer of 29. however, she’s in that class too so you would add one for her making it 30
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