How many turning points are in the graph of the polynomial function?

2 turning points
3 turning points
4 turning points


Answers

Answer 1

Graph with their Turning Point is shown with different degree of different degree Equation

What is Turning Point?

Where a graph changes, either from increasing to decreasing, or from decreasing to increasing, is called a turning point.

How to find Turning Point?

Factorization Technique

The turning point of the parabola lies exactly at the midway between the (two) x-intercepts of a quadratic function, as shown by the fact that a vertical line of symmetry divides the parabola into two equal half and crosses it. In light of this, we can use a factorisation-based method to locate the solution of a quadratic equation. The process involves five steps.

Step 1: By looking at the coefficient of x2, determine if the graph is a minimum or maximum;

Factorize the supplied quadratic function in Step 2 and set it to Zero;

Step 3: Define the function's antecedents;

Take the midpoint of the pair of roots to find the x-coordinate of the turning point in step 4;

2 turning points

Let f(x)=x³+ax²+bx+c, where the coefficients a, b and c are real numbers. The figure below shows a section of the graph of y=f(x). The curve has two distinct turning points; these are located at A and B, as shown.

But there is come limitations in this case too, a function has to follow certain conditions to have two turning points.

3 turning points

If we get 4 roots of any equation it may be containing 3 turning Points.

With some limitations in this as well.

4 turning points

If we get 5 roots of any quadratic equation it may be containing 4 turning points with some limitations in this as well.

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Related Questions

Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy

Answers

Hello,

3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy

Write the quadratic equation in standard form:
3x2 – X – 4= -30
x

Answers

Answer:

3x²-29x+4

Step-by-step explanation:

3x²-x-4=-30x

0=-30x-3x²+x+4

0=-3x²-29x+4

A propane gas tank consists of a cylinder with a hemisphere at each end. Find the volume of the tank if the overall length is 15 feet and the diameter of the cylinder is 6 feet, as shown in the figure. (Round your answer to two decimal places.)

A propane gas tank consists of a cylinder with a hemisphere at each end. Find the volume of the tank

Answers

The volume of the tank that is shown here is 282.31

How to solve for the volume

In mathematics, the capacity of a 3D object is denoted by its volume. Volume is typically computed in cubic units like cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³) or cubic inches (in³). Depending on an object's form, various formulas can be used to calculate its volume.

15 - 6 = 9

Radius = 6 / 2

= 3

Then the volume =

4 / 3 π (3)³ + π (3)²6

= 112.75 + 169.56

= 282.31

The volume is 282.31

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pls help fastttttttt

pls help fastttttttt

Answers

Exterior angle = (large arc - small arc) divided by 2

So it would be 175(other arc) -65 divided by 2
X=55

when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part ​

Answers

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

How do you do 9&10?

How do you do 9&10?

Answers

Answer:

Step-by-step explanation:

9) 9xt

10) r-10

the greatest common factor of 12x-18

Answers

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

On a certain hot​ summer's day, 386 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $807.50. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Call x is childrens

Call y is adults

x + y = 386 (1)

1,75x + 2,5y = 807,5 (2)

(1) => x = 386 - y => (2) 1,75 ( 386-y )+2,5y = 807,5

0,75y=132 => y = 176 and x = 210

Step-by-step explanation:

which angles are alternate interior angles​

which angles are alternate interior angles

Answers

Answer:

angle NOR and SRO

Step-by-step explanation:

which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) a fraction 12 over 2 b fraction 2 over 12 c fraction 48 over 2 d fraction 2 over 48

Answers

The expression that can be used to calculate the rate per second at which the machine launches the balls is a) Fraction 12 over 2.

To calculate the rate per second at which the machine launches the balls is:

First, we need to know the meaning of rate is: it is the amount of something per unit of time. In this case, we want to find the rate at which the machine launches the balls per second.

The fraction 12 over 2 represents the number of balls launched by the machine in 12 seconds. If we want to find the rate per second, we need to divide this number by the number of seconds.

12/ 2 = 6, so the machine launches 6 balls in 1 second.

Therefore, the rate per second at which the machine launches the balls is 6.

So, the expression that can be used to calculate the rate per second at which the machine launches the balls is Fraction 12 over 2, which simplifies to 6.

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What is the value of d?
790
260
d

What is the value of d?790260d

Answers

Answer:

Your answer would be:
D = 53 d.

First off notice how the top left and bottom right angels are obtuse angels (larger than 90 degrees). The top right and bottom left angels are acute (less than 90 degrees).

We will focus on the acute angels to finger out the problem. The value D that we are trying out must add to 26 degrees to equal the value of the other cute angle, 79 degrees (top right corner).

We can solve with the following equations:

26 degrees + D degrees = 79 degrees

79 d. - 26 d. = D d(egrees)

Summary:
79 d. - 26 d. = 53 d.

In conclusion, the value of angel D would equal 53 degrees.
D = 53 degrees



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What is the value of d?790260d
i think d=53. i’m not 100% on that i’m sorry if it’s wrong.

Pls answer……………………..

Pls answer..

Answers

Answer:

They are not congruent because the lines aren't parallel.

Step-by-step explanation:

For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.

Say whether the given function has limit at the point (0,0). If the limit exists, then find it. (a) f(x, y) = 5ry² 3x² + y² (Hint: the parabola z = - y²); (b) f2(x, y) = Vel+V sin(y). (Hint: [√x + √] × [√ √U] ...). [2,3]

Answers

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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How many years is 1 billion seconds?

Answers

for an approximate result, divide the time value by 3.154e+7

so the answer is 31.71 calendar years

There are approximately 31.71 years in 1 billion seconds. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same attribute in a different unit of measurement. Instead of using hours to represent time, you could use minutes, and instead of using miles to express distance, you could use feet. Measurements are frequently requested in one set of units, such as chains, but are given in another set, such as feet.

We are given 1 billion seconds which are to be converted into years.

We know that 1 second = 3.171e-8 years

So,

⇒1,000,000,000 seconds = 1,000,000,000 * 3.171e-8

⇒1,000,000,000 seconds = 31.71 years

Hence, there are approximately 31.71 years in 1 billion seconds.

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Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
A.
14%
B.
81%
C.
19%
D.
23%

Answers

Answer:

C.) 19% decrese

Step-by-step explanation:

575.00 - 465.75 = 109.25

109.25/575.00 = 0.19

0.19 = 19%

575.00 - 465.75 = 109.25

109.25/575.00 = 0.19 = 19%

Therefore, the percentage decrease of the amount of available credit in Dylan's account is 19%.

Will mark brainliest if ur right! if not, u wont get it.

Will mark brainliest if ur right! if not, u wont get it.

Answers

Answer:

(-4,4)

Step-by-step explanation:

I believe that's it

Show how you arrived at your answers.
Kenzie says that x? + 25 can be factored into (x + 5). Ariana says that
it cannot. Who is correct? Explain your answer.

Answers

Step-by-step explanation:

if that's x^2+25

they can be factored to x+5

because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25

The heights of married men are approximately normally distributed with a mean of 70 inches and a standard deviation of 2 inches, while the heights of married women are approximately normally distributed with a mean of 65 inches and a standard deviation of 3 inches. Consider the two variables to be independent. Determine the probability that a randomly selected married woman is taller than a randomly selected married man.

Answers

The heights of married men are approximately normally distributed with a mean of 70 inches and a standard deviation of 2 inches, while the heights of married women are approximately normally distributed with a mean of 65 inches and a standard deviation of 3 inches. Consider the two variables to be independent. Determine the probability that a randomly selected married woman is taller than a randomly selected married man.

According to the problem statement, the two variables are independent. Therefore, we need to find the probability of P(Woman > Man).  We have the following information given: Mean height of married men = 70 inches Standard deviation of married men = 2 inches Mean height of married women = 65 inches Standard deviation of married women

= 3 inches We need to calculate the probability of a randomly selected married woman being taller than a randomly selected married man. To do this, we need to calculate the difference in their means and the standard deviation of the difference. \(μW - μM = 65 - 70 = -5σ2W - σ2M = 9 + 4 = 13σW - M = √13σW - M = √13/(√2)σW - M = 3.01\)Now, we can standardize the normal distribution using the formula,

(X - μ)/σ, where X is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation of the distribution. \(P(Woman > Man) = P(Z > (W - M)/σW-M) = P(Z > (0 - (-5))/3.01) = P(Z > 1.66)\) Using the normal distribution table, we can find the probability of Z > 1.66 to be 0.0485. Therefore, the probability of a randomly selected married woman being taller than a randomly selected married man is 0.0485.

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Answer this true or false question please:4x-1<2x+7 when x =0​

Answers

true!
4(0) -1 = -1
2(0) +7 = 7

find value of x so w(x) = 1/6x - 3; w(x) = -4

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(w(x) = \frac{1}{6} x - 3 \\ \)

\(w(x) = - 4\)

Thus ;

\( \frac{1}{6} x - 3 = - 4 \\ \)

Add sides 3

\( \frac{1}{6} x - 3 + 3 = - 4 + 3 \\ \)

\( \frac{1}{6} x = - 1 \\ \)

Multiply sides by 6

\(6 \times \frac{1}{6} x = 6 \times( - 1) \\ \)

\(x = - 6\)

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

28.50 divided by 2.50

Answers

Answer:

Step-by-step explanation:

okay so it’s gonna be 11.400

ms. lee is shopping for a new electric warer heater. brand A cost $575 and uses 442 kiliwatt- hours per month. brand B cost $651 and uses 397 kiliwatt-hours per month. if electricity costs $0.17 per kilowatt-hour, how much would ms. lee save on electricity per month by buying brand B

Answers

Answer:

7.65

Step-by-step explanation:

Brand A:

442(times)0.17=75.14 each month

Brand B:

397(times)0.17=67.49 each month

75.14-67.49=7.65

Ms.Lee would save 7.65 each month with brand B

This diagram is a straightedge and compass construction. A is
the center of one circle, and B is the center of the other. A
rhombus is a quadrilateral with 4 congruent sides. Explain why
quadrilateral ACBD is a rhombus.

This diagram is a straightedge and compass construction. A isthe center of one circle, and B is the center

Answers

From the construction, quadrilateral ACBD is a rhombus because circles A and B have the same radius.

A chord is a line that do not pass though the center of a circle and joins two points on its circumference. It majorly divides the circumference of a circle into major and minor arcs.

With the given conditions in the question, quadrilateral ACBD sides ae chords. As regards the circles, sides AC and AD are chords circle B. Also, CB and BD are chords on circles A. So that the sides of quadrilateral ACBD are equal.

The main reason why the quadrilateral is a rhombus is because circles A and B have the same diameter, thus the same radius.

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BRAINLIEST ASAP! Please someone help

BRAINLIEST ASAP! Please someone help

Answers

Answer:

B. Distributive Property

Step-by-step explanation:

You are distributing the 2 to the x and 3.

Hopefully this helped!

Brainliest please?

What is AC?
А
А
D
5
B

What is AC?D5B

Answers

Alternating current (AC) is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction. ... A common source of DC power is a battery cell in a flashlight.

(x+4) ² remove bracket and simplify

Answers

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Given an equation as follows: \[ R \frac{d i}{d t}+L \frac{d^{2} i}{d t^{2}}+\frac{1}{C} i=\frac{d V}{d t} \] Convert the linear ODE to block diagram. Fill in the blank

Answers

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.

The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.

The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.

Therefore, the block diagram representation of the given equation is as follows:

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

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In a Spelling Bee
Then wore 240 contestants.
1/6 were eliminated in round 1
1/5 in round 2 and 1/3
in round 3. How many
are left?

Answers

Answer:

There were 240/6=<<240/6=40>>40 contestants eliminated in round 1.

There were 240/5=<<240/5=48>>48 contestants eliminated in round 2.

There were 240/3=<<240/3=80>>80 contestants eliminated in round 3.

Altogether, there were 40+48+80=<<40+48+80=168>>168 contestants eliminated.

Therefore, there are 240-168=<<240-168=72>>72 contestants left.

Step-by-step explanation:

Which combinations of study times and test scores
would be considered unusual observations? check all
that apply.
2 hours, score of 74
6 hours, score of 35
8 hours; score of 92
9 hours, score of 40
14 hours, score of 55

Answers

Unusual observations in this context refer to combinations of study times and test scores that deviate significantly from the general pattern or trends observed in the dataset. Based on the given options, the combinations that can be considered unusual observations are:

1. 6 hours, score of 35

2. 9 hours, score of 40

3. 14 hours, score of 55

These combinations stand out because they demonstrate lower test scores despite relatively higher study times. The expected trend would be that longer study durations are associated with higher test scores, so these combinations deviate from the expected pattern.

In the dataset, the majority of students who studied for 6 hours or more achieved higher test scores. The observations with 6 hours of study and a score of 35, 9 hours of study and a score of 40, and 14 hours of study and a score of 55 go against this trend. They suggest that other factors might be influencing the test scores for these specific individuals, such as ineffective study methods, distractions, or personal circumstances. These combinations can be considered unusual as they deviate from the general relationship between study time and test scores. Further investigation could be warranted to understand the reasons behind these outliers and determine if there are any underlying factors contributing to the deviations from the expected trend.

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Review the table of values for function j(x) = StartFraction x squared minus 7 x minus 8 Over x squared minus 4 x minus 32.

x j(x)
7.9 0.747899
7.99 0.749791
7.999 0.749979
8 undefined
8.001 0.750021
8.01 0.750208
8.1 0.752066
What is Limit of j (x) as x approaches 8, if it exists?

0.375
0.75
8
DNE

Answers

Answer:

B: 0.75

Step-by-step explanation:

Edge

Answer:

.75

Step-by-step explanation:

Unit Test

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