What are the possible degrees for the polynomial function?

Answers

Answer 1

Answer:

and "Bumps"

Purplemath

Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.

I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".

For instance, the following graph has three bumps, as indicated by the arrows:

y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0

Answer 2
4
6
8
That is the answer for this question
Hope this helps

Related Questions

Someone help me with this, please! i’ll mark u as brainlist

Answers

Answer:

x = 8

Step-by-step explanation:

2x + 5 = 21

      -5    -5

      2x = 16

     2x/2 = 16/2 ( divided 2 on both sides)

     you get x= 8

to check your work, replace x with 8 in the equation

                            2 x 8 + 5 = 21    ( don't forget PEMDAS!!)

                               16 + 5 = 21  

Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.

1. 246.00
2. 245.00
3. 246.08

Answers

Answer:

246.00

Step-by-step explanation:

58.75+23.25=82 then 82*3

Answer:

246.000

Step-by-step explanation:

Well If you take it and Line it up like this,

(A)Amy; 58.75

(J)Jeremy; A+23.25

(O)Oscar; A+23.25= ?x3

This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.

  Hope this helps.

Draw a scaled copy of the circle
using a scale factor of 2.

How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?

Answers

Answer:

the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps

Step-by-step explanation:

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the radius of the circle = r

The circumference of the circle = 2πr

The area of a circle = πr²

Now,

Scale factor = Original circle / Scaled circle

Now,

Scale factor = 2

2 = Circumference of the Original circle / Circumference of the Scaled circle

Circumference of the Scaled circle = (1/2) Circumference of the Original circle

Again,

Scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

Area of the scaled circle = (1/2) Area of the original circle

Thus,

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 278 279 185 299 245 281 291 234 278 227 281

Answers

Answer:

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Step-by-step explanation:

First of all, we will sort the data.

185 227 234 245 278 278 279 281 281 291 299

Mean:

Mean is defined as the sum of values divided by the number of values.

n = 11

[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]

Median:

As the number of values is odd,

The median will be:

[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]

The 6th value is 278

Median = 278

Mode:

Mode is the most frequent value in a data set.

In the given dataset,

278 and 281 are modes as both are repeated twice

Mid-range:

Mid-range is the average of maximum and minimum value

So,

Min = 185

Max = 299

So,

[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]

Hence,

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Please help me out !!!

Answers

Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66

URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))

Answers

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?​

Answers

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Of the factors of 12 shown, which also have a sum of 7?

A: 12,1

B: 2,6

C: 3,4

Answers

The answer is C because 3 and 4 add together to equal 7

Please please please hellllllppp meeeeee !!!!!!!!!

Answers

ANSWER: 77
Explanation: Making 88 in 8 minutes means that the machine is making 11 per minute thus being said if the machine worked for 7 minutes it would make 77 pens.
88/8=11
11*7=77

the answer below thanks

Answers

Answer:

The equation of the circle having centre (-5,-9) and radius r=3  is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

Explanation:-

From graph  The centre of the circle  C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle



From graph the centre ( h, k) = ( -5,-7) and r = 3cm

                 [tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]

                x² + 10 x +25 +y² + 14 y + 49 =9

              x² + 10 x +25 +y² + 14 y + 49 -9=0

 The equation of the circle

                x² + 10 x  +y² + 14 y + 65 = 0  

 



                     

Suppose we have universal set U. What does it mean to say that X is a subset of U?

Answers

Answer:

All of the elements of X are elements of U.

Step-by-step explanation:

What is 3/5 converted into a percent.

Answers

Answer:

60%

Step-by-step explanation:

multiply 3/5 by 20

Answer:

60%

since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%

A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?

Answers

Answer:

you mean 2.5?????? in two quart????

There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?


ANWSER:





STEP BY STEP EXAMPLE:​

Answers

Answer: 22

Step-by-step explanation: 65 divided by 3 is 22

Answer:

21or22

Step-by-step explanation:

65/3

The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?


I. If m > n the absolute value of the function approaches positive infinity as x gets very large.


II. If m < n the value of the function approaches zero as x gets very large.


III. If m = n the value of the function approaches a constant as x gets very large.

Answers

Answer:

g

Step-by-step explanation:

x goes to f m to 5 :-)

There are 5 students in Mrs. Templeton's art class. Each student has 2 paintbrushes on his desk. Which of the following shows how to find the total number of paintbrushes in the classroom?

Answers

You would have 5 students and you would give them 2 paint brushes each and that would give you 10 because 5x2=10

Daryl has 7 hats. David has h times more hats than Daryl. How many hats does David
have?
for 10 points!!

Answers

Answer:

David has 7h hats

Step-by-step explanation:

Daryl: 7

David: 7h

solve for the missing value (?) 3:9=? ?:81=

Answers

Answer:

27

Step-by-step explanation:

First you need to figure out what times 9 = 81

9 x 9 =81

since you have to do the same thing on both sides of the equation you do

3 x 9

which gets you 27

Evaluate the limit, if it exists. PLEASE SHOW WORK
lim x 5 x^2-3x-10\2x-10

Answers

Answer:

-350

Step-by-step explanation:

5×2-3×-10/2×-10

=10-3×-50

=7×-50

=-350

Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?

Answers

Answer:

The lines will not intersect, because this system has no solutions

Step-by-step explanation:

Answer:

They will not intersect!

Step-by-step explanation:

A-P-E-X

a) Solve x² + 4x - 8 = 0 by completing the square​

Answers

Answer:

x = 2 + 2i, x = 2 - 2i

Step-by-step explanation:

[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]

Find sin θ. Right Triangle Trigonometry.

Answers

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Substitute [Sine]:                    sinθ = 16/20

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?

Answers

Answer:

Elena scored 22 points.

Step-by-step explanation:

Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.

HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]

     = [tex]\frac{7-1}{3+3}[/tex]

     = [tex]\frac{6}{9}[/tex]

     = [tex]\frac{2}{3}[/tex]

Answer:

To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3),  6 / 6, the slope is 1

Help please!!!

Triangle ABC is similar to triangle PQR, as shown below​

Answers

Answer:

b:q

Step-by-step explanation:

im pretty sure its that. ive learned this before.

if you flipped them so that c and r were facing the same direction, then b and q would be too.

Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6

Answers

Answer:

Y = 3x - 6

Step-by-step explanation:

- 3y = -9x + 18

divide by -3

y = 3x - 6

complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,

Answers

Answer:

x = -1, 0, 1, 2, 3, 4

y = 3, 2, 1, 0, -1, -2

Answer:

x = -1, 0, 1, 2, 3, 4

y = 3, 2, 1, 0, -1, -2

simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?

Answers

Answer:

[tex] - \frac{x + 2a}{3a + x} [/tex]

Step-by-step explanation:

[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]

i) write ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]

ii) write -2ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]

iii) factor out x from the expression

[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

iv) factor out -a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

v) factor out a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]

vi) factor out -x from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]

vii) factor out x+2a from the expression

[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]

viii) factor out 3a+x from the expression

[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]

ix) factor out the negative sign from the expression and rearrange the term

[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]

x) reduce the fraction a-x

[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]

[tex] - \frac{x + 2a}{3a + x} [/tex]

−k+2(−2k−5) please help me

Answers

Answer:

-5k - 10

Step-by-step explanation:

-k + 2 (-2k - 5)

-k - 4k - 10

-5k - 10

Answer:

-K+2(-2K-5)

-K-2K-10

-3K=10

K= 10÷(-3)

K=-3.333333

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.
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