A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer 1

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Answer 2

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

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Related Questions

If sin(2)=cos⁡(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°

Answers

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9

Step-by-step explanation:

jk its c

explain what is meant by balance stretching​

Answers

Answer:

Balance stretching is giving equal attention to stretching all parts of your body. It is also important to stretch opposite muscles in equal amounts. For example, you need to stretch your hamstrings as much as your quads, and you need to stretch your right arm as much as your left arm.

or

Balanced stretching refers to performing stretching exercises across the entire body. Stretching the entire body balances the fitness benefits across all muscle groups instead of limiting the benefits to a single or limited number of muscle groups.

Step-by-step explanation:

just took the test on edge

Good Luck!

Balanced stretching can be defined as the process of performing physical exercises to stretch the whole body which gives the body a complete balance and fitness.

What is exercise?

This means an activity which is done physically to improve health and fitness.

Many stretching exercises to help the body balance itself.

Alternating knee raises with each step as you walk.

Without using your hands, getting out of a chair and standing up.

Giving each portion of your body equal attention while stretching is known as balance stretching. Stretching opposing muscles equally is also essential. For instance, you should extend your right arm as much as your left arm and your hamstrings as much as your quads.

Learn more about physical exercise here:

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For a rhombus, which of the following statements are true? (select all that apply)

1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent

Answers

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Solve the inequality

Answers

the answer would be

-3 ≤ x ≤ 5

can't quite figure out the limit problem ​

Answers

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.

The blue shaded area of the graph described what about this function shown in the picture?

Answers

Answer:

the answer is c. constant interval

QUICK HELP PLEASE
Robert found an old game in a closet and and wanted to play it. However, a Portion of the spinner shown at the right could not be read. Find the missing portion of the spinner for Robert.

Answers

Answer:2/36 or 1/18

Step-by-step explanation:

ANSWER:

2/36

EXPLANATION: Find what the gcf factor of all the denominators are the gcf of all the denominators is 36 but what you do to the top do to the bottom then add 3/36+4/36+6/36+9/36+12/36=34/36 so you need 2/36 to have a full circle

1. What is 35% of 200?

Answers

Answer:

70 is 35% of 200

Step-by-step explanation:

Your welcome

Answer:

70 is 35 % of 200

Step-by-step explanation:

.35 × 200 = 70

which function represents the following graph.

Answers

Answer:

Option 3

Step-by-step explanation:

[tex]\left(x+3\right)^{\frac{1}{3}}+3[/tex]

Answer:

option 4 on edg

Step-by-step explanation:

y=3(x+3) +3

The function .... is symmetric with respect to what ?

Answers

Answer:

Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry

Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?

Answers

Answer:

600 km

Step-by-step explanation:

72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)

50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)

I hope this helps :)

Answer:

600

Step-by-step explanation:

took the test

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the
function with its graph

Answers

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

[tex]f(x)=(x-2)^{2}+1[/tex]

45)

The function g(x) is given by:

[tex]g(x)=f(x-1)[/tex]

using f(x) we can find f(x-1)

[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

[tex]g(x)'=2(x-3)[/tex]

[tex]2(x-3)=0[/tex]

[tex]x=3[/tex]

Puting it on g(x) we will get y value.

[tex]y=g(3)=(3-3)^{2}+1[/tex]

[tex]y=g(3)=1[/tex]

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

[tex]g(x)=f(x+2)[/tex]

[tex]g(x)=((x+2)-2)^{2}+1[/tex]

[tex]g(x)=(x)^{2}+1[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2x[/tex]

[tex]0=2x[/tex]

[tex]x=0[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(0)=(x)^{2}+1[/tex]

[tex]g(0)=1[/tex]

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

[tex]g(x)=f(x)+2[/tex]

[tex]g(x)=(x-2)^{2}+1+2[/tex]

[tex]g(x)=(x-2)^{2}+3[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}+3[/tex]

[tex]g(2)=3[/tex]

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

[tex]g(x)=f(x)-3[/tex]

[tex]g(x)=(x-2)^{2}+1-3[/tex]

[tex]g(x)=(x-2)^{2}-2[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}-2[/tex]

[tex]g(2)=-2[/tex]

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

Negative nine minus negative ten?

Answers

Answer:

-9 - 10 = -19

Step-by-step explanation:

If both numbers are a negative, then add them together but keep the negative or minus sign

Hope this Helps!!!

Solve for n. 24 = 3(n-5)​

Answers

Answer:

Step-by-step explanation:

Given

24 = 3(n - 5)

24/3 = n - 5

n- 5 = 8

n = 8+5

n = 13

hope it helps :)

Answer:

n = 13

Step-by-step explanation:

8=n-5

-n=-5-8

-n=-13

n=13

If I'm building a dog house that is 3ft by 2ft, and I only want to line the floor with tile, and the tiles are 1.5 square feet each, how many do I need?

Answers

Answer:

4

Step-by-step explanation:

identify the part of the drawing that is highlighted in blue​

Answers

A line. A segment would be any line that has a dot on each end. A ray would have a dot on one end and the other end with an arrow continuously going. A line is when there is an arrow on both sides therefore having the line go on forever. A line never stops

(5,-6) and (2,-6) find the distance between each pair points in units​

Answers

Answer:

The distance between the points is 3.

Step-by-step explanation:

Hope it helps ;)

what is the value of 4/15 divide 2/3

Answers

Answer:

0,4

Step-by-step explanation:

4/15 : 2/3 = 4/15 × 3/2 = 2/5 × 1 = 0,4

An equilateral triangle has a side length of 10 units. What is its area?

Answers

Answer:

Hope my ans help you plz if u can mark me brainlist

Step-by-step explanation:

A = 43.3

The area of an equilateral triangle has a side length of 10 units is 43.3 square units.

What is an equilateral triangle?

An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.

Given the side of an equilateral triangle  = 10 units

the area is given by,

A = √3/4 × a²

where a is the length of the side,

A = √3/4 × 10²

A = 1.732 x 100/4

A = 43.3 square units.

Therefore, the area of a triangle is 43.3 square units.

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The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3 what is the common ratio in this sequence

Answers

Answer:

The common ratio in this sequence is 6:2 or 4:3

Step-by-step explanation:

hopes this heklps

Pls help I don't need an explanation just the answer please :)

Answers

I believe it is the second answer choice

the speed of the current in a creek is 2 mph. A person can kayak 4 mi upstream in the same time that it takes him to kayak 8 mi downstream. What is the speed of the persons kayak in still water?

Answers

Answer:

I think 6 mph

Step-by-step explanation:

I needore characters so ingnor this sentence.

i just need the bottom one​

Answers

The bottom of what?! I don't see anything

Answer:

X _> 3

Step-by-step explanation:

6/2 = 2x/2

3 = x

x = 3

1. Which solid has one base that is a rectangle and four lateral surface that are triangles?
A- Triangular Pyramid
B- Cone
C- Rectangular Prism
D- Rectangular Pyramid

2. A solid with at most one base CANNOT be which of the following?
A- Cone
B- Cube
C- Pyramid
D- Sphere

Answers

1. Triangular prism
2. Sphere i think

P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.

Answers

Interest = (principal)(rate as a decimal)(time in years)

I = (16,000)(0.1)(0.5)
I = $800
$800 I believe, don’t take my absolute word I could be wrong

i will give you brainliest whoever answers correct first!!

Answers

Answer:

X = 24

Step-by-step explanation:

180 - 156 = 24

These are supplementary and equal to 180.


Help please please!!!!!

Answers

Answer:

x=28

Step-by-step explanation:

Look at attached image.

Round 1231.50432 to the nearest tenth

Answers

Answer:

1231.5

Step-by-step explanation:

I hope this help.

An employee at a store makes $6 an hour. If she has made $237.38 in a week, how
many hours, did she work that week? Write an equation showing how to solve for how
many hours she worked using "h"as the variable.

Answers

Answer:40 hours

Step-by-step explanation:divide 237.36 by 6 and you will get 39.5633

so basically what you're going to do is round it up and your answer will be 40

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