A polynomial function P(x) has a degree n. If n is even is the number of turning points of the graph of p(x) even or odd? What can you say about the number of turning points if n is odd?

Answers

Answer 1

I think the number of turning points if n is even is odd.
For n = odd it could be odd or even.

Answer 2

The number of turning points if n is odd if A polynomial function P(x) has a degree n, is even.

What is polynomial?

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.

Given:

A polynomial function P(x) has a degree n,

A turning point is when the derivative's sign changes. A relative maximum or relative minimum might mark a turning point (also known as local minimum and maximum). A turning point is a stationary point if the function is differentiable, however not all stationary points are turning points.

For example, if the degree is 2 then the number of turning points will be 1

The general formula is, the number of turning points = n - 1

Thus, for odd n, the turning point will be even.

To know more about polynomials:

https://brainly.com/question/20121808

#SPJ2

Related Questions

translate the following points 5 units up (-5,-2) (-2,1) (-4,-7)

Answers

Answer:
(-5, 3)
(-2, 6)
(-4, -2)

Explanation:
To translate 5 units up means to add 5 to the y value since the y-axis dictates the vertical positioning of a coordinate. However, the x-values remain unchanged.
So all the y values are -2, 1, and -7. Add 5 to all of these.
-2 + 5 = 3
1 + 5 = 6
-7 + 5 = -2
Then re-pair them with their x-values like so:
(-5, 3)
(-2, 1)
(-4, -2)
Víola.

MATH HELP
WILL AWARD BRAINILEST

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. After each cut, the remaining area is % of the previous area.

I think its 25% but idk

Answers

The remaining area is 20% of the previous area.

Hope this Helps!

Let's just take a look at the first two points plotted, (0,100) and (1, 80). The difference between 100 and 80 is 20, but what percent of 100 is 20? Well, since any percent x% can be represented as a fraction in the form [tex] \frac{x}{100} [/tex], and the the ratio of 20 to 100 is already [tex] \frac{20}{100} [/tex], our answer is a 20% decrease, which means that you're taking 100 - 20 = 80% of the previous area at each point.

Edit: Since I misread the question, I want to reframe my previous explanation instead in terms of what percent of the area of the previous point is left.

Looking again at the areas plotted, what percent of 100 sq. cm is 80 sq. cm? We want to translate the question into math, and our first indicator of where to start is the phrase "what percent of 100 sq. cm." When we talk about taking a fraction or percent of another quantity, we're usually referring to multiplying that fraction by that quantity. In this case, we have our unknown percent, [tex] \frac{x}{100}[/tex], multiplied by 100, which, of course, just leaves you with x. And we're told that this quantity is equal to 80, so we have our answer. x = 80, so we're going to be taking 80% of the area each step.

Please help!!

Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.

Answers

Final answer:

The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.

Explanation:

To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is

(x - h)² = -4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.

Substituting the values for the vertex and p, we get

(x - 0)² = -4(3)(y - 0)

which simplifies to

x² = -12y

This is the standard form of the parabola with the given focus and directrix.

A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a limo ride. Which caller will be first one to win both?

Answers

for this, we need to find the lowest common multiple of 12 and 15....

common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60

the caller that will be the first to win both is the 60th caller

Answer: Every 60th caller would win both.

Step-by-step explanation:

Since we have given that

every 12th caller receives a free concert ticket.

And

every 15th caller receives a limo ride.

We need to find the first caller who would win.

So, for this we would find L.C.M. of 12 and 15.

And we know the least common multiple of 12 and 15 is 60.

Hence , every 60 th caller would win both.

Find to slope of the line passing through the points 0,4 -8,-1

A,-8/5
B,-5/8
C, 5/8
D, 8/5

Answers

Given points: (0, 4) and (-8, -1)

First, find the slope.

m=(y₂-y₁)/(x₂-x₁)
m=(-1-4)/(-8-0)
m=(-5)/(-8)
m=5/8 <--- this is positive because a negative divided by a negative is positive)

The correct solution is B.

Hope I helped :)

If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years

Answers

35.36 of the carbon-14 will still remain. Hope this helps!:)

Answer:

If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.

35.36

atoms

Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.

Answers

24.56m. your problem should look like a^2+29^2=38^2. you the. have a^2+841=1444. you subtract 841 from 1444 and are left with 603. < this is a^2. you take the square root of that and get 24.56

a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point where the shot needs to land. given that the maximum height of the shot is 120 feet, and that the intended distance of 500 feet is reached, by how much did the ball clear the tree?

Answers

We can create a parabola equation of the trajectory using the vertex form:

y = a (x – h)^2 + k

The center is at h and k, where h and k are the points at the maximum height so:

h = 250

k = 120

Therefore:

y = a (x – 250)^2 + 120

At the initial point, x = 0, y = 0, so we can solve for a:

0 = a (0 – 250)^2 + 120

0 = a (62,500) + 120

a = -0.00192

So the whole equation is:

y = -0.00192 (x – 250)^2 + 120

So find for y when the golf ball is above the tree, x = 400:

y = -0.00192 (400 - 250)^2 + 120

y = 76.8 ft

So the ball cleared the tree by:

76.8 ft – 60 ft = 16.8 ft

Answer:

16.8 ft

Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?

Answers

Use the formula d = rt (where d is the total distance traveled, r is the average rate of travel, and t is the total time taken to travel the distance given) to solve this problem.

We'll simply substitute the known values in and solve for r.

3 = 0.75r (The reason I am substituting 0.75 for t instead of 45 is that the problem is asking for how fast he travels in terms of miles per HOUR, not hours per minute. 45 minutes is 0.75 of 1 hour.)

4 = r

Barry walked at an average speed of 4 miles per hour!

What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?

Drag the steps and drop them in order from start to finish.
-------------------------------------------------------------------------------------------------------------------------------

Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
-------------------------------------------------------------------------------------------------------------------------------
Construct a circle with its center at point H.
-------------------------------------------------------------------------------------------------------------------------------
Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
-------------------------------------------------------------------------------------------------------------------------------
Construct horizontal line l and point H on line l.
-------------------------------------------------------------------------------------------------------------------------------
Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
-------------------------------------------------------------------------------------------------------------------------------

Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

Answers

The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:

1. Construct a circle with its center at point H.

2. Construct horizontal line l and point H on line l

3. Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

4. Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ

5. Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.

6. Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .

I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?

____foreign stamps

How many domestic stamps does Malik have?

____domestic stamps

Answers

OKAY listen up
So we have two equations
x - y = 34
x + y =212
Let's take the first equation and put it in terms of x
x-y+y= 34+y
x= 34 + y
Now that we have a value for x, substitute it into the second equation for x and solve for y.
(34+y)+y=212
34+y+y = 212
34+2y= 212
34-34+ 2y=212-34
2y= 178
2y/2=178/2
y= 89
Now that we know the value for y, we can substitute it into the first equation and solve for x.
x-89=34
X-89+89=34+89
X=123
Y= 89
X =123

ANSWER
Domestic Stamps: 123
Foreign Stamps: 89

After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.

Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.

Given the following system of equations:

[tex]x - y = 34\\\\x + y = 212[/tex]

To solve the system of linear equations, we would use the elimination method:

Adding the two equations together, we have:

[tex]2x = 246[/tex]

Dividing both sides by 2, we have:

[tex]x = \frac{246}{2}[/tex]

x = 123 domestic stamps

To find the value of y:

[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]

y = 89 foreign stamps

Read more: https://brainly.com/question/3600420

There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there

Answers

Hi. In order to solve this word problem, you must make two equations and solve them together. To make it easy, we will let the letter "p" represent the pigs and the letter "c" for the chickens. So our first equation will be:

p + c = 13

Now to count the legs - we know that pigs have 4 legs and chickens have 2 so our next equation will be:

2c + 4p = 40

Using the first equation we see that c = 13 - p Now we insert this into the second equation and solve:

2x(13-p) +4 pm = 40
26 - 2p + 4p = 40
2p = 14
p = 7 (there are 7 pigs so now we know there are 6 chickens.

Answer: 7 pigs and 6 chickens

I hope this helps.

Take care,
Diana

How to solve x^2+bx+c=0 when b and c are negative by factoring?

Answers

Answer:

The "x² + bx + c = 0" ; is treated as:

"x² + (-b)x + (-c) = 0 " ;

or, put simply:
___________________________________
" x² − bx − c = 0 ;

in which: b = - (insert number);
and "c" = - (insert number);
___________________________________
Then, the expression on the "left-hand side" of the equation is "factored"; and set equal to "0" .
___________________________________
Note of interest: This is done even if "factoring" cannot be done; and/or if one wishes to proceed using the "quadratic equation formula" to solve for "x".
___________________________________
Hope this helps!

If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?

Answers

The sales tax will be $28.39. 339*.08375

How would I graph and solve this inequality?? Help please! Press question to view image.

Answers

well, x has to be anything from 5 or below, as it has to be subtracted by three and the answer has to be less than 4. so, x=y<5 (first one)

negative 3 times a number = less than negative 12. so, the higher the number, but negative, is less than. (example:-52<-3) so, |x| is x=4>y
sorry if unclear...

check the picture below.

[tex]\bf |x|-3\le 4\implies |x|\le 7\implies \boxed{-7\le x\le 7} \\\\\\ -3|x|\ \textless \ -12\implies |x|\ \textgreater \ \cfrac{-12}{-3}\implies |x|\ \textgreater \ 4\implies \boxed{4\ \textless \ x\ \textless \ -4}[/tex]

The school bookstore sold 8 more pencils than pens one day. A pencil costs $0.05 and a pen costs $0.20. If the day's sales of pens and pencils totaled $8.90, how many pencils were sold?

Answers

amount of pens sold = p
amount of pencils sold = p + 8
0.05(p + 8) + 0.20(p) = 8.90 each pen is $0.20 while each pencil is $0.05
0.05p + 0.4 + 0.20p = 8.90
0.25p = 8.50
amount of pens: 34
amount of pencils: 34 + 8 = 42

Final answer:

To solve this problem, we use algebraic equations to represent the situation. By setting up an equation for the total sales and solving for the number of pens, we can then calculate the number of pencils sold based on the given information. In this case, 34 pens and 42 pencils were sold.

Explanation:

Let's solve this problem using algebra. Let the number of pens sold be x. According to the problem, the number of pencils sold is x + 8. Now we can set up an equation to represent the total sales:

0.20x + 0.05(x + 8) = 8.90

Simplifying the equation, we get:

0.20x + 0.05x + 0.40 = 8.90

Combining like terms,

0.25x + 0.40 = 8.90

Next, we can subtract 0.40 from both sides of the equation to isolate x:

0.25x = 8.90 - 0.40

Subtracting, we find that

0.25x = 8.50

Finally, we can divide both sides of the equation by 0.25 to solve for x:

x = 8.50 / 0.25

Calculating, we find that x = 34. This means that 34 pens were sold. Since 34 pens were sold and there were 8 more pencils sold than pens, there must have been 34 + 8 = 42 pencils sold.

Learn more about Algebraic Equations here:

https://brainly.com/question/32183344

#SPJ2

How to find out how likely it is to get 13% chance at something 13 times?

Answers

im speechless for this one .

Rounded to the nearest 3 decimal places, what is the value of r for this data set?

Answers

Using geogebra (see attached), I get roughly r = 0.98886 which rounds to r = 0.989

Answer: 0.989

Side Note: The fact that r is very close to +1 means the data set has strong positive linear correlation. The points all fall very close to a line with positive slope.

Solve the system by elimination.

-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5

Please go step by step, thanks!

Answers

equation 1 plus equation 3 to cancel x, you will get: 5y+6z=5
equation 2 plus equation 3, you will get: 2y+4z=2
Now focus on these two new equation you've just got; Let's eliminate y next. To eliminate y, we first have to make the coefficient the same.
multiple 5y+6z=5 by 2 and multiple 2y+4z=2 by 5, we'll get:
10y+12z=10
10y+20z=10
subtract the second of these two equations from the first, you'll get: -8z=0, therefore z=o
Plug z=0 into either one of these two equations, you'll get y=1
plug z=0, y=1 into any of the original three equations, you will get x=1

an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?

Answers

x is the number of movies for the cost of the plan to be the same.

4.25x=36+3.5x
4.25x-3.5=36
0.75x=36
x=36/0.75
x=48

x=48
x is the number of movies for the cost of the plan to be the same.

jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week additional 2 gallons running errands. how many gallons of gas does john juse for work and errands

Answers

gallon he uses to and from work = (2 / 3) of 12

12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work

+ 2 additinal for errands

therefore gallons for work + gallons for errand = *8 + 2
= 10

your answer is 10

How many pairs of triangles appear congruent? The triangles may overlap

Answers

We will need an image but i am happy to change my answer with the correct answer as soon as we have what we need

Answer:

4. If i know the picture you're talking about it would be 4.

Step-by-step explanation:

Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?

Answers

C HE WILL GET LOANS MORE EASILY

Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set

Please help with all 3 questions thank you.

Answers

question 1. is C

question 2. is There is not enough information to prove that the triangles are congruent. The ongruence statement can you write about the triangles in the previous problem is △JFE≅△SFV

question 3. i think itd be D

Charles has read 180 pages of book. This isn’t 3/4 of the total number of pages in the book. If p represents the number of pages in the book, what is p?
a.135
b.240
c.320
d. 420

Answers

3/4p = 180
3p = 720
p= 720÷3 = 240
p= 240

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario? g(x) = 0.4x + 35.5 g(x) = 0.4x + 67 g(x) = 2.5x + 25 g(x) = 2.5x + 50

Answers

answer is

g(x) = 2.5x + 25

5 newspapers, 2.5(5) + 25 = 12.5 + 25 = 37.5
20 newspapers, 2.5(20) + 25 = 50 + 25 = 75

The linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered.

x = the number of newspapers Pedro delivers

y = the earnings he receives in dollars.

From the data given the linear function can be framed as follows:

y = mx + b

Plug x = 5

y = 37.50

37.50 = 5m + b ...(I)

Plug x = 20, and y = 75

75 = 20m + b ...(II)

After solving equation (I) and equation (II):

m = 2.5

b = 25

y = 2.5x + 25

Replace y with g(x)

g(x) = 2.5x + 25

Thus, the linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March

Answers

Final answer:

Rodney sold 16 cars and Greg sold 8 cars in March.

Explanation:

Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.

Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.

In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.

Greg sold 3 more cars than he did in March, so we have the equation G + 3.

Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.

Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.

Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.

Rodney: 16 cars

Greg: 8 cars

the equation y= -5.131x^2 +31.821x -3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.
What is the best estimate for the number of people in line at 8 a.m?
A. 77
B. 46
C. 40
D. 32

Answers

B. 46 Replacing x with 3 (= 8-5) gives -5.131*3^2 +31.821*3 -3.333 = 45,951

Answer:

The answer is 42!!! I just took test.

Step-by-step explanation:

5 hundred 25 thousand six hundred minutes

Answers

5 hundred 25 thousand six hundred moments so dear.

answer is center of rotation

Answers

In a rotation, the point that does not move. The rest of the plane rotates around this one fixed point.

Other Questions

Please answer VVVVConvert 1.580 hectoliters to deciliters. Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of these angles is 72 degrees, what are the measures of the other three angles. Explain your answer Which statement accurately describes the supremacy clause of the constitution? multiply (X-Ai)(X+Ai) the volume of a box is 1344 cubic inches. how many cubic inches are in one cubic foot? what is the volume of the box in cubic feet? What landform is 0 to 500 feet above sea level? Herpes can be passed via oral sex. True or False During the Lewis and Clark expedition, what happened during the expedition?A.Sacagawea and her child helped smooth relations with American Indians.B.the explorers found a water route from the Atlantic to the Pacific.C.the explorers ignored the natural world and focused on American Indians.D.many skilled people of the frontier helped to smooth relations with American Indians. How does fever help protect the body from pathogens is? In the necklace how did Mathilde's actions beliefs or interactions with others develop the conflict in the story? During meiosis, genetic recombination may occur more than once through the process of ____________________, resulting in an increase in genetic variability. A)transcription B)crossing over C)allele sequencing D)frameshift mutation With ______, books don't have to be printed on paper to be distributed. Whats 40% in fraction For a store contest, four out of every 65 people who visit the store will receive a free DVD. If 455 people visit the store, how many DVDs were given away Can please help me with this worksheet What are two key characteristics of a good scientific investigation? During the first phase of the American Revolution, most major battles took place near the cities of Boston, New York, and Philadelphia. Why would controlling this region have been an important goal for both sides in the war? images observed under the light microscope are reversed and inverted . explain what this meand Why did gender divisions of labor emerge during the industrial revolution? What was the purpose of Franklin Roosevelt's WPA Steam Workshop Downloader