If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.

Answers

Answer 1

9514 1404 393

Answer:

  turning points

Step-by-step explanation:

The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.

The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.


Related Questions

Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​

Answers

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Someone please answer this quickly!


Note: T is the center of the circle.

Answers

Here is my answer. I hope it is helpful.

Solve for W.
A=6W
help timed

Answers

-6W=-A
6W=A
W=A/6 is the answer your looking for
Hope this helped!

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Solve for x: 4(x-5) 8. = 9y​

Answers

Answer:

X=18y+5

EXPLANATION

4(X-5)/8 =9Y

(4X-20)/8 =9Y

4X-20=9Y×8

4X=72Y+20

X=(72Y+20)/4

X=18Y+5

solve the following equation ​

Answers

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one​

Answers

[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]

L.H.S

[tex]\tt cos^2x \times sec^2x[/tex]

[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]

[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]

[tex]\tt 1[/tex]

R.H.S

Hence proved

Step-by-step explanation:

[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]

• Remember → 1 + tan²x = sec²x

[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]

• But sec²x → 1/cos²x

[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]

• Remember from the first identity of trignometry;

[ cos²x + sin²x = 1 ].

• Therefore: [ cos²x = 1 - sin²x ]

[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]

Hence proved.

There are 16 pieces of candy. Jack
has 5 empty bogs and puts 3 pieces
of candy nto each bag How many
pleces of candy are left?

Answers

There’s 1 piece of candy left.

5 x 3 = 15
16 - 15 = 1
1 piece of candy
you take 5•3=15 and 16-15=1 so there is one left over

Express 1 19/100 as a decimal

Answers

Answer:

1.19 if its not that its 0.19 but i believe its 1.19.

Step-by-step explanation:

Answer:  1.19 Is 1 19/100 as a decimal

Step-by-step explanation:

I need help with this without links

Answers

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

Which of the following values for x will make relation A shown below a function?

A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7

Answers

I’m as confused as you are
I think that is is 3

A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.

Answers

Answer:

30000 is mean, 25000 is median

Step-by-step explanation:

Just a logical explanation

if you have a lot  of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more

and with executives making a lot more, the mean is 30000

sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median

Interpreting Composite Functions in the Real World
Try it
The volume of air in a balloon is represented by the function von = = nr?, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function rt) = 42
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements

Answers

Answer:

Answer is A and C on edge

Step-by-step explanation:

The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

What is composite function?

When the two or more than two functions are written in the form of single function. Then such function is called the composite function.

Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,

[tex]f[g(x)][/tex]

The volume of air in a balloon is represented by the function,

[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]

Here, r is the radius of the balloon, in inches.

The radius of the balloon increases with time, in seconds, by the function,

[tex]r(t) = \dfrac{1}{4}t^2[/tex]

The composite function that can be used to determine the volume of the balloon after t seconds is,

[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]

After the 6 seconds,

[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]

Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

Learn more about the composite function here;

https://brainly.com/question/10687170

#SPJ2

a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.​

Answers

Step-by-step explanation:

hope it will help you.....

The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.

Answers

Answer : 52 boys : 26 girls

Step - by - step explanation :

Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .

26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls

52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D

Annie, Brianna & Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 boxes of fruit. Carly has sold ten more than three times Brianna's sales. Brianna sold five more than Annie. How many boxes of fruit did Carly sell?

Answers

Step-by-step explanation:

Annie = x

Brianna = y

Carly = z

Now,

x + y + z = 105 ...(1)

Carly has sold ten more than three times Brianna's sales.

z = 10 + 3y ...(2)

Brianna sold five more than Annie.

y = 5 + x ...(3)

Now,

z = 10 + 3y

z = 10 + 3(5 + x)

z = 10 + 15 + 3x

z = 25 + 3x

Now,

x + y + z = 105

x + (5 + x) + 25 + 3x = 105

5x + 30 = 105

5x = 105 - 30

5x = 75

5x/5 = 75/5

x = 15

So,

y = 5 + x

y = 5 + 15

y = 20

Now,

z = 25 + 3x

z = 25 + 3(15)

z = 25 + 45

z = 70

Thus,

Annie Sold 15 boxes

Brianna Sold 20 boxes

Carly Sold 70 boxes

URGENT!!!!!!!!!!!!!!! :

m(x) = -1/2f(x - 3) - 1

Answers

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Write the integer from least to greatest. 4, 12, -12, -11

Answers

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =

Answers

Answer: 3/25

Step-by-step explanation:

Can someone solve this/give me an answer choice??ASAP if possible

Answers

Answer:

Step-by-step explanation:

C is right.

5(a + b + c + d)

when you express it it's gonna be 5a + 5b + 5c + 5d

f (x) = 3 (x– 4)^2– 12

based on this value, select ALL that APPLY for the following function:

Answers

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter

Answers

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

expand and simplify (x-2)³

Answers

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

Will Give Brainliest

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thats easy B ur welcome !!!!

Answer:

The answer is B

Step-by-step explanation:

HELP PLS! The dotplot below displays 26 students' scores on a 30-
point statistics quiz.
Which of the following statements best describes the
dotplot?
Statistics Quiz
O The distribution of quiz scores is skewed left with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is skewed right with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 24 and varies from
12 to 30. There are possible outliers at 12, 14, 15,
and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 26 and varies from
20 to 30. There are possible outliers at 12, 14, 15,
and 16.
10
30
15 20
25
Scores (in Points)

Answers

Answer:

Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.

The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.

What is the correct option?

The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.

To learn more about outliers, please check: https://brainly.com/question/27197311

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What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.

Answers

The remainder of the equation is [tex]\rm x+1[/tex].

Given that,

When the equation is [tex]x^3+1[/tex]  divided by [tex]x^2-x+1[/tex].

We have to determine,

The remainder for the equation?

According to the question,

The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]

Hence, The required remainder of the equation is [tex]\rm x+1[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer: a

Step-by-step explanation:

on edge

Find y
Find m Find m

Answers

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.

[tex]\sf -9(8-2h)[/tex]

Answers

Answer:

[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]

Answer:

[tex]-72+18h[/tex]

Step-by-step explanation:

[tex]-9(8-2h)[/tex]

[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-9(8-2h)[/tex]

[tex]-9\cdot8=-72[/tex]

[tex]-9\cdot-2=18[/tex]

[tex]=-72+18h[/tex]

expand and simplify (m+7) (m+3)

Answers

Answer:

m^2+10m+21

Step-by-step explanation:

Distribute:

m times m is m^2

m times 3 is 3m

7 times m is 7m

7 times 3 is 21

=> m^2+3m+7m+21

Add 3m and 7m

=> m^2+10m+21

Thus the equation is

m^2+10m+21

Hope this helps!

(m + 7)(m + 3)

= m(m + 3) + 7(m + 3)

= m² + 3m + 7m + 21

= m² + 10m + 21

____

Hope it helps ⚜

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