12. If f"(x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when x =
A.-1only
B. 2only
C.-1 and 0only
D.-1 and 2 only
E. -1,0 and 2 only

Answers

Answer 1

Answer:

C. - 1 and 0 only

Step-by-step explanation:

(x + 1) / x = 0, - 1, 2

inflection points / when sign Changes

+  /   -   /  +       /  +

"- 1 "   "0"      2

  ^      ^

"Hope this helps"

Answer 2

The graph of f has inflection points when x = 0 and -1.

Given that,

If graph =  f"(x) = x(x + 1)(x - 2)^2

We have to determine,

The graph of f has inflection point when x is.

According to the question,

Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.

These points are generally not local maxima or minima but stationary points.

[tex]f''(x) = 0[/tex]

Therefore,

The graph of f has inflection point at,

[tex]f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2[/tex]

On taking intersection of these points,

The graph has inflection points at x = 0 and -1.

Hence, The graph of f has inflection points when x = 0 and -1.

To know more about Inflection points click the link given below.

https://brainly.com/question/2289668


Related Questions

f(x)= −2x^2 + 8x − 10
{Find } f(-4)

Answers

Answer:

simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74

A population has a mean of 110.22 and a standard deviation of 5.68. For which sample size does 95% of the sample means fall within the interval between 109.08 and 111.36?
a. 100
b.80
c. 60
d. 120

Answers

Answer:

100

Please give me brainliest, I really need it.

Answer:

a.100

Step-by-step explanation:

got it right on edmentum

The equation y= 12x-9 has its y-intercept at the point

Answers

Answer:

-9

Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =

Answers

Answer:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Step-by-step explanation:

Given

[tex]24c + 36d + 18[/tex]

Required

Factorize

[tex]24c + 36d + 18[/tex]

Expand each term

[tex]6*4c + 6 *6d+6 *3[/tex]

Factor 6 out of the expression

[tex]6(4c + 6d+3)[/tex]

Hence:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Answer:

6(4c+6d+3)

Step-by-step explanation:

hat is the solution for the equation?

a + StartFraction 8 over 3 EndFraction = two-thirds
a = negative StartFraction 10 over 3 EndFraction
a = negative 2
a = 2
a = StartFraction 10 over 3 EndFraction?

Answers

Answer:

a = -2

Step-by-step explanation:

I'm assuming that the equation is a + 8/3 = 2/3, and you are supposed to solve for a.

Answer:

A.

a=-2

Step-by-step explanation:

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?

Answers

Answer:

The first picture/20 cans = 1 dollar

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

What is X 2(x+5)=3x+1

Answers

Answer:

X = 9

Step-by-step explanation:

Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!

Answers

Answer:

$1608.48

Step-by-step explanation:

A = P(1 + r/n)^nt

P: 1100   3: 3.8% / year     n: 365/year   t: 10 years

A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48

A book is 9 inches wide and 13.5 inches tall.

What will the area of the front of the book?

Answers

Answer:

121.5

Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.

Answer:

[tex]area = (l \times w) \\ = (13.5 \times 9) \\ = 121.5 \: {inches}^{2} [/tex]

Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group

Answers

Answer:

[tex]P_4= 0.2[/tex]

Step-by-step explanation:

From the question we are told that

Consider all seven-digit numbers

Created from the digits 0-9

Generally number of digits that starts with 6 is mathematically  given as

The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10

The total amount of even digits within 0-9 (0,2,4,6,8) = 5

The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250

The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50

Probability the number starts with 4

      [tex]P_4 = \frac{50}{250}[/tex]

      [tex]P_4= 0.2[/tex]

So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest ton ?

Answers

Answer:

least: 4 tons, greatest: 8 tons

Step-by-step explanation:

.4 round down (5 and up, round up rule)

.7 round up

I need help on graphing the coordinates.

Point G:
Point H:
Point I:
Point J:
Point K:
Point L:

Answers

G - 1,5
H - 5,0
I - 0,-1
J - 3,-4.5
K - 0,2.5
L - -2.5,4

Answer:

im not sure that i couldnt help...

Step-by-step explanation:

A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?

Answers

Answer:

720 employees

Step-by-step explanation:

Number of responded employees = 90% of 2000 employees = 1800 employees

Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.

Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)

The Empirical Rule says that: Group of answer choices outliers are within three standard deviations of the mean. about 32 percent of the data are beyond one standard deviation from the mean most business data sets are normally distributed in most business data we expect the mean and median to be similar.

Answers

Answer:

The Empirical Rule says that:

outliers are within three standard deviations of the mean.

Step-by-step explanation:

An outlier is an observed data value which lies some abnormal distance from other values in a population's random sample.  The cut-off for an outlier is three standard deviations from the mean in a normal distribution.  Therefore, the Empirical Rule concludes that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.  In summary, the empirical rule concludes that 68% of the data falls within one standard deviation, 95% percent falls within two standard deviations, while 99.7% falls within three standard deviations from the mean.

86
Work out the size of angle x.
47°

Answers

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

And corresponding anglea are the same.

Thereforw, x = 133 degrees

hope this helps :)

answer all pls
1) The first 2 sentences of the first paragraph are main sentences. They give some important information.

a) What 3 things are the nervous system made up of?

b) What 2 things does the nervous system do?

2) Which 2 parts are included in the Central Nervous System?

3) Nerves make up the Peripheral Nervous System.

a) What do motor nerves do?

b) What do sensory nerves do?

4) Autonomic nerves work _________________________, or without thinking about them.

5) Somatic nerves are the ones we _________________ _________________ by thinking about them.

6) A nerve cell is called a _____________________. Some of them can be very long like the ones that go all the way from your ____________ to your spinal cord.

7) Look at the picture. Each nerve cell has 3 main parts. Name each part from the description below.

a) The middle of the cell is the cell body labeled the "Neuron".

b) The short branches coming of the cell are called ______________________ and they pick up signals from other cells to send to the brain.

c) The long branch coming down from the cell body is called the __________. It carries messages from the brain to tell the muscles what to do.

8) The spaces between nerve cells are called ____________________. One nerve will release chemicals to "send" a message to be picked up by the next nerve cell.

9) The brain sends messages all over the body as______________________ impulses. They tell the body what to do.

10) Movements that happen faster than the brain can think are called _______________. They usually happen when your body is responding to something painful or frightening.

Answers

I think answer should be a. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

- 4+-3 - (-11) =
O
O 10
0-18
04

Answers

The answer is 4
-4+-3-(-11)
-4-3+11
-7+11
=4

What is an equation of the line that passes through the points (3, 0) and (6, -1)

Answers

Y= -1/3x + 1

Please mark BRAINLEST!!

Answer:

(Note: This is assuming that the answer can be in any format.)

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

Step-by-step explanation:

When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.

Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:

[tex]\frac{-1-0}{6-3}[/tex]

[tex]\frac{-1}{3}[/tex]

So, the slope is [tex]-\frac{1}{3}[/tex].

Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute  [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

is the 24 and 32 are coprime number?​

Answers

Answer:

32 and 24 are not coprime numbers.

α + 4/5 = 3
Solve for a to make the proportion true

Answers

4/15 should be your answer!
Answer:
a=11/5
i think is right

3 1/2 x 1/8 =

I need help!,!,!!!!!

Answers

Answer:

0.4375

Step-by-step explanation: calculator

Step-by-step explanation:

[tex] \tt{3 \frac{1}{2} \times \frac{1}{8}} [/tex]

Convert mixed number into improper fraction. For this : Multiply 3 and 2 and add 1. Also , remember that the denominator stays the same. ( i.e [tex] \sf{ \frac{3 \times 2 + 1}{2} = \frac{7}{2} } [/tex] )

⟼ [tex] \tt{ \frac{7}{2} \times \frac{1}{8}} [/tex]

To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator.

⟼ [tex] \tt{ \frac{7}{16}} [/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \tt{ \frac{7}{16}}}}}}}} [/tex]

Hope I helped ! ♪

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

when he was born Frank weighed 4.2 kg.This was 500g more than Sally.What did Sally weigh at birth?​

Answers

Answer:

3.7kg

Step-by-step explanation:

4.2kg =4200

4200-500=3700

49 – 3m = 4m + 14 please help

Answers

Answer:

m=5

Step-by-step explanation:

Typed oral Question –
Each stand at the cricket stadium can seat 200 people. If there are 100 stands in the stadium.Create the multiplication problem using this information.

Answers

Answer:

If the stadium has 100 stands, it can accommodate 20,000 spectators.

Step-by-step explanation:

In order to determine the number of spectators that can enter the cricket stadium, knowing that it has 100 stands and that each of these has a capacity of 200 seated spectators, the following calculation must be performed:

200 x 100 = X

20,000 = X

Therefore, the cricket stadium has a capacity of 20,000 people seated.

please hrlp....??????​

Answers

Answer:

147

Step-by-step explanation:

180-33=147

HELP PLEASE PLEASE!!!

Answers

x=64Step-by-step explanation:

Greta has 12 pens and 20 pencils in her desk drawer. What is the ratio of pens to pencils in her desk?

Answers

Answer:

every 3 pends there is 5 pencils

Step-by-step explanation:

hm every 3 pens there is 5 pencils

Which inequality describes all the solutions to -5x + 6 < 2(-3 − x)?

Answers

Answer: x>4

Step-by-step explanation:

The solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.

The given inequality is 5x + 6 < 2(-3 - x).

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality can solved as follows:

5x + 6 < 2(-3 - x)

Multiply 2 to the bracket

5x + 6 < -6 - 2x

Add 2x to both the sides of inequality

5x + 6 + 2x < -6 - 2x + 2x

⇒7x+6<-6

Subtract 6 to both the sides of inequality

7x+6-6<-6-6

⇒7x<-12

Divide 7 to both the sides of inequality

7x/7<-12/7

⇒x<-12/7

⇒x<-1.7

Solution set = {-2, -3, -4, -5, -6,.......}

Therefore, the solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

Kelli has $33 in her checking account. She then writes a check for $42. What is the balance of Kelli's bank account?

Answers

Answer:

-9

Step-by-step explanation:

42-33= 9

But she is writing a check for $42 and only has $33 so that will send her into negatives.

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