Arrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5 + 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓

Answers

Answer 1

The increasing order of maximum number of extrema they could have is;

y = 3x² + 5y = x³ + 21x + 2y = x⁴ − 17x² + 72y = x5 + 4x³ − 5xy = x6 − 6x3 + 5x

What is the maximum number of extrema they could have in increasing order?

The extrema of a polynomial is otherwise termed it's "turning point(s)". It follows that a polynomial with a degree n would have (n-1) number of turning points. It therefore follows on this basis that the arrangement of the polynomial equations in increasing order of possible extrema they could have is;

y = 3x² + 5

y = x³ + 21x + 2

y = x⁴ − 17x² + 72

y = x5 + 4x³ − 5x

y = x6 − 6x3 + 5x

Read more on extrema;

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Related Questions

Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.

Answers

Answer:

[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]

[tex](b)\ Area = 16.75cm^2[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](a,b) = (-6,5)[/tex]

[tex]r = 5[/tex]

Required

The equation of the circle

This is calculated as:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

So, we have:

[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]

[tex](x+6)^2 + (y-5)^2 = 25[/tex]

Solving (b):

Given

[tex]r = 8cm[/tex]

[tex]\theta = 30^o[/tex] --- Missing from the question

Required

The area of the sector

This is calculated using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]

[tex]Area = \frac{1}{12} * 200.96[/tex]

[tex]Area = 16.75cm^2[/tex]

please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?

Answers

Answer:

x² - 9x + 20

You are correct.

None of the listed choices are correct.

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

I think the question originally had 5 and -4 as the solutions

https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf

x = {-4, 5}

(x + 4)(x - 5) = 0

x² - 5x + 4x - 20 = 0

x² - x - 20 = 0     Answer E

Step-by-step explanation:

x = {4, 5}

y = (x - 4)(x - 5)

y = x² - 5x - 4x + 20

y = x² - 9x + 20

Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.

Answers

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answers

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)Evaluate exponents:                                                                                         V = π(169 in²)(30 in)Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinderh is the height of cylinderSolution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

When -3x + 6 − 3x − 24 + 2y is simplified, the result is

Answers

Answer:

- 6x - 18 + 2y

Step-by-step explanation:

- 3x + 6 - 3x - 24 + 2y

- 6x + 6 - 24 + 2y

- 6x - 18 + 2y

Answer:

-6x -18 + 2y

Step-by-step explanation:

1. Collect like terms:

-3x + -3x = -6x

-24 + 6 = -18

2. Rewrite expression:

-6x -18 +2y

Hope this helps, good luck! :D

Find y.
Round to the nearest tenth:
29°
500 ft
у
X
y = [? ]ft

Y’all please help :,,,)

Answers

Answer:

Step-by-step explanation:

sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]

Sin 29 = [tex]\frac{y}{500}[/tex]

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.

What is the total cost to build, paint, and fill a silo with the least surface area?

Answers

Answer:

all i know is that the answer is

above 2,400

Step-by-step explanation:

George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?

Answers

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

What is the equation of the line

Answers

The answer is

The equation for this line is (0,4)

please help me solve
please show how you got the answer

Answers

Answer:

Step-by-step explanation:

New questions in Mathematics

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

Pls help this is due at 8 !!!!!!

6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…

somebody help me out

Which rational functions have an oblique asymptote? Check all that apply

what is the estimate product of 345 and 34? [tex] \\ [/tex] ​

what is the estimate product of 345 and 34?​

ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…

somebody help me out

How many parallelograms are in an octagonal prism?

Tn=2n-5 write down four term in a sequence

somebody help me out !

Find the value of angle n

PLEASE I NEED HELP IM GOING TO CRY I HAVE A TOPIC TEST TOMORROW PLEASE REPLY ASAP.!!!!

Find the value of angle y

What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi

Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.

Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a

Please help me asap!​

what is lcm of 15 and 143​

Can someone help me identify what quadrilateral is this?

Answers

Answer:

Its C

Step-by-step explanation:

Question 2
Which of these expressions is equal to 4m + 8m?

Answers

Answer:

12 m

Step-by-step explanation:

Given the expression : 8m + 4m

The numbers 8m and 4m are bound by the addition operator.

When using the addition operator, the Coefficient are are the values added for like terms.

Since both values given can be like terms based on 'm', the Coefficient of m in each vlaue is added ;

Hence, we have ;

8m + 4m = 12m

Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.

Answers

Answer:

Step-by-step explanation:

Answer:△LMK △MNK △LNM

im pretty sure thats it

find the volume of a triangular prism ​

Answers

Answer:

96 cu.ft must be the answer to the question..

Answer:

I think 96 cu.ft is the answer

SUPER URGENT: Find cscθ.

Answers

Answer: -5/4

Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.

A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.

A) 13.0
B) 10.5
C) 1.3
D) 1.05

Answers

Answer:

[tex]\text{C. }1.3[/tex]

Step-by-step explanation:

The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].

What we're given:

[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8

Substituting given values, we get:

[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]

the graph below have the same shape.
what is the equation of the blue graph?

Help me please ​

Answers

The answer is D.

the blue parabola is 1 y value up from red. So you have a +1. It is 4 values to the right of red, but when x is in the format of (x + a) ^2, then the sign of operation is opposite of the action in graph. So positive means subtracting and negative means adding. So you put in x - 4

What is the inverse of the function g(x) = 1/2x + 1/2?

Answers

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Tell whether the angle is complimentary, supplementary or neither

Answers

The answer is supplementary

Helpppppppp meeeee please ASAP

Answers

Answer:

(9, 13, 22)

Step-by-step explanation:

We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!

Simplify: 4x(x² - 3x + 1)

Answers

Answer:

[tex]4x\left(x^2-3x+1\right)[/tex]

[tex]Distribute\:parentheses[/tex]

[tex]=4xx^2+4x\left(-3x\right)+4x\cdot \:1[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]+\left(-a\right)=-a[/tex][tex]=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x[/tex]

[tex]Simplify[/tex]

[tex]=4x^3-12x^2+4x[/tex]----------------------------hope it helps...have a great day!!

solve for x y=7x+5
y = 9x+4

Answers

Answer:

x = 1/2

Step-by-step explanation:

y = 7x+5

y = 9x+4

7x+5 = 9x+4

1=2x

x = 1/2 = 0.5

Answer:

1. [tex]x = - \frac{5}{7} [/tex]

2. [tex] x = - \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]

[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]

[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]

[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]

What is the mean, outlier & mean without outlier for 4; 4; 5; 6; 8; 9; 27

Answers

Answer:

the mean is 9.

Step-by-step explanation:

mean=4+4+5+6+8+9+27

7

= 63 7 9 is the answer.

The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.

pls writ abt 1-2 sentences asap :(((

Answers

Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

Write the following number by entering one digit in each box of the place value chart.

Answers

Answer:

The number itself is 508.231

Step-by-step explanation:

Any multiplying each of the numbers, we will have the specific places

Hundreds

5 * 100 = 500

Tenths

0 * 10 = 0

ones

8 * 1 = 8

Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2

Hundredths = 3/100 = 0.03

Thousandths = 1/1000 = 0.001

So we simply sum all these to get the number itself as follows

500 + 8 + 0.2 + 0.03 + 0.001 = 508.231

Find the length of CD

Answers

Answer: CD=18

Explanation: Use the side-splitter theorem and solve.

1) (3/x)=(4.5/(x+6)), cross multiply and solve for x
2) 6x+36=9x
3) x=12
4) Solve for CD
5) (12)+6=18

Find the equation of the straight line passing through the point (-1,2) which is perpendicular to the line y=x+4

Answers

The answer is y = -x + 3

Sergio is buying plums at $1.60

per pound. He buys at least 1

pound. The weight of each plum

is a quarter of a pound. Sergio

states he can buy a number of

plums that cost exactly $3.80.

Complete Parts A and B to show

Sergio's statement is false.



PLEASE HELP QUICKLY NO LINKSS!

Answers

Answer:

Sergio's statement is false

Step-by-step explanation:

Cost of one pound of plum = 1.60

Total quantity of plum bought = 1

Weight of each plum = 1/4 pound

If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum

Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5

Since 0.5 pound of plum means half plum which is not possible to buy

Hence Sergio's statement is false

theres $10.30 and the discount is 25% how much will he save

Answers

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved

which inequality best represents the graph?

Answers

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is

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