HELP!!!!!!!!!!

A student divided f(x) = 3x^3 + 8x^2 + 5x – 4 by x + 2 and found the remainder was r = -6. Based
on the remainder theorem, what can be concluded about f(x)?

HELP!!!!!!!!!!A Student Divided F(x) = 3x^3 + 8x^2 + 5x 4 By X + 2 And Found The Remainder Was R = -6.

Answers

Answer 1

Answer:a

Step-by-step explanation:

Answer 2

The point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

Let's suppose the divisor is Q

Then from the remainder theorem:

f(x) = (x+2)Q -6

[tex]\rm 3x^3+8x^2+5x-4=(x+2)Q-6[/tex]

If we put x = -2, then

[tex]\rm 3(-2)^3+8(-2)^2+5(-2)-4=(-2+2)Q-6[/tex]

[tex]\rm 3\times-8+8\times4-10-4=-6[/tex]

-24 + 32 -10 -4 = -6

-6 = -6

It means (-2, -6) lies on the function(also refer the graph of the function)

Thus, the point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

HELP!!!!!!!!!!A Student Divided F(x) = 3x^3 + 8x^2 + 5x 4 By X + 2 And Found The Remainder Was R = -6.

Related Questions

Can u plz help me with 7,8,9

Answers

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Please I’m begging help me I don’t get this question I tried solving it these past 50 minutes ILL GIVE YOU BRAINLINEST

Answers

Answer:

Monday=275

Tuesday=330

thursday=360

Friday=440

Step-by-step explanation:

Add the entire number to itself since its above 100%

then figure out 10% of the number for  monday is 12.5 thats only ten so we gotta figure out 20% so 12.5x2=25

Hence its 125+125+25

250+25

275

This is for monday but this applies on all of them

In week 1 Marcus shot a total of 650 jump shots , if Marcus shot 120% more jump shots in week 2 that would mean he shot 780 jump shots in week 2
780 - 650 = 130 , 650 + 130 = 780
Marcus shot 130 more jump shots in week 2 compared to week 1.
Hope this helped

Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 50 gallons, while the fills have a standard deviation known to be 0.6 gallon. Suppose the mean fill for the shipment is actually 50 gallons. If we draw a random sample of 100 drums from the shipment, what is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons

Answers

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that [tex]\mu = 50, \sigma = 0.6[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{50.12 - 50}{0.06}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 49.88

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{49.88 - 50}{0.06}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

If you get the answer can you also explain how you go it

Answers

C I’m pretty sure, if wrong I’m sorry
The answer is C.

6/10 lines are shaded. 3 x 2/5 = 6/10

Beetles may be the most varied order of animals. New beetle species are authenticated, completely unpredictably, at a typical rate of one every 7.0 months. A supplement to a guide is planned to be published after 20 new species have been discovered. a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published

Answers

Answer:

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

Step-by-step explanation:

The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.

In this question, we have that:

Species are discovered at a rate of once every 7 months.

A supplement to a guide is planned to be published after 20 new species have been discovered.

a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?

Mean is: 7*20 = 140 months.

Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

The diameter of a tree trunk is 23 in. what is the circumference?​

Answers

Answer:

72.2566311

Step-by-step explanation:

Circumference = 2πr

We don't have the radius, but we do know that half of the diameter is the radius, so 23/2 = 11.5. r = 11.5

Now, plug the radius into the equation:

2π(11.5)

Solve:

2π(11.5) = 72.2566311

does -(-(-e) = -e?


qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Answers

Answer:

wth is this

show the pic of the question

Find the measure of 6

Answers

Answer:

6=101°{alternet exterior angle}

hope it helps.

Measurements of a Circle

(Giving correct answer brainliest)

Answers

Answer:

B. [tex] \frac{9}{20}\pi [/tex]

Step-by-step explanation:

Central angle [tex] \theta = 81\degree [/tex]

Radius (r) = 1 unit

[tex] l(\widehat {HJ}) = \frac{\theta}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81\degree}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81}{360} \times 2\pi (1)[/tex]

[tex] l(\widehat {HJ}) = \frac{9}{40} \times 2\pi [/tex]

[tex] l(\widehat {HJ}) = \frac{9}{20}\pi [/tex]

1) Solve for r: 4= r/8
2) What symbol makes the statement true? 27×(36_6)=162
3) Solve for h: 19h=15

Answers

Answer:

1) r = 32

2) symbol is '÷'

3) h = 15/19

Step-by-step explanation:

HELP PLS HURRY
Which table represents a nonlinear function
A.) x y
2 -9
4 1
6 11

B.) x y
2 -14
4 -16
6 -18

C.) x y
2 0
4 6
6 16

D.) x y
2 -9
4 6
6 -3

Answers

Answer:

(C)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to tysm☺️♨️♨️☺️

Can someone help me pls

Answers

Answer:

Yes, but a diagonal of the rectangle must be a diameter of the circle.

This is because a rectangle is made up of two right triangles.

i just need this solved please
2x+(7x+4)=3x-22

Answers

Answer:

All I got is this I'm sorry

Step-by-step explanation:

Exact form -13/3

Decimal form -4.3

Mixed -4 1/3

Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?


The side adjacent to angle E is side ____?


The hypotenuse is side ____?

Answers

Answer:

See below

Step-by-step explanation:

The side opposite angle E is side e (DF)

The side adjacent to angle E is side d (EF)

The hypotenuse is side f (ED)

Write an equation. Putri Qis buys 8 packs of markers. Each pack contains the same number of markers. Putri Qis gave 10 markers to her brother. Then, she has 54 markers left.

Answers

Answer:

M = number of markers in a pack

8M = 54 + 10

solution:

8M = 64

M = 8 markers per pack

There are twenty classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.

Number of Students in Each Class at Poplar Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.

Number of Students in Each Class at Oak Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.

Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.

Answers

The dot plot is missing, so i have attached it.

Answer:

B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Step-by-step explanation:

From the dot plot attached, we can find the average number of students per class for each school.

For Poplar Middle School;

Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.

There are 20 classes.

Thus;

average number of students per class = 435/20 = 21.75

For Oak Middle School;

Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483

Average number of students per class ; 483/20 = 24.15

Difference in average = 24.15 - 21.75 = 2.40

This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Answer:

da answer is B lesss goooo

Step-by-step explanation:

Find the circumference of the circle and round to the nearest tenth

Answers

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

[tex]d = 14.4[/tex] --- diameter

Required

Determine the circumference

The circumference is calculated as:

[tex]C =\pi d[/tex]

So, we have:

[tex]C =\pi * 14.4[/tex]

Take pi a 3.14

[tex]C =3.14 * 14.4[/tex]

[tex]C =45.216[/tex]

Approximate

[tex]C =45.2yd[/tex]

Solve the system by substitution

Answers

☁️Answer☁️
Hope this helps :)

HELP MEEE
Manny had to guess a chosen number
from 5 to 10 (including 5 and 10) What's the
probability he'll choose the correct number?

Answers

Answer:

1/6

Step-by-step explanation:

Since there are 6 numbers in the possibilities and he only gets to choose once it will be 1/6

The ratio of 8:5=(?)%​

Answers

Answer:

The ratio of 8:5 = 160%

Step-by-step explanation:

1. Divide the first number by the second number

2. Multiply by 100 to convert to a percentage

the ratio of 8:5 is 160%!!

someone help me plzz

Answers

Answer:

1/4

Step-by-step explanation:

.

What is the value of the expression below?
64^1/3​

Answers

21.33 is the answer because you have to multiply 64 times 1/3

Answer:4

Step-by-step explanation:

Just did this question

Edwin buys a video game that is $55. It is on sale for 20% off, and he has to pay 10% sales tax. Is the final cost the same as a 10% discount? Why or why not?

Answers

Answer:

No  If it would be 10 percent of the total would be the price tag without tax

Step-by-step explanation:

Help! I am being timed. Thank you

Answers

Answer:

C

Step-by-step explanation:

Suppose a polling agency reported that 48.0​% of registered voters were in favor of raising income taxes to pay down the national debt. The agency states that results are based on telephone interviews with a random sample of 1033 registered voters. Suppose the agency states the margin of error for 95​% confidence is 3.0​%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt. ▼ We are 48.0% confident There is a 95% probability We are 95% confident There is a 3.0% probability We are 1033% confident We are 3.0% confident There is a 48.0% probability There is a 1033% probability that the proportion of ▼ all Americans registered voters adult Americans aged 18 or older in favor of raising income taxes to pay down the national debt is between nothing and nothing

Answers

Answer:

The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters  who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.

Step-by-step explanation:

A confidence interval is the sample proportion plus/minus the margin of error.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

Sample proportion of 48%.

Suppose the agency states the margin of error for 95​% confidence is 3.0​%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

48% - 3% = 45%

48% + 3% = 51%

The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters  who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.

The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
used to find the two numbers and solve it.

Answers

Answer:

+/- 2 both work.

Step-by-step explanation:

Remark

To make sure they are even, you need to use 2x and 2x + 2

Equation

2x (2x + 2) = 2x + 2x + 2 + 14      Combine like terms on the right

Solution

2x(2x + 2) = 4x  + 16                    Remove the brackets

4x^2 + 4x  = 4x + 16                    Subtract 4x from both sides.

          -4x    -4x

4x^2  = 16                                   Divide by 4

x^2 = 16/4

x^2 = 4                                        Take the square root of both sides

x = +/- 2

Question

Does - 2 work?

2(-2)(-2*2 + 2) = 4(-2)+2 + 14

-4(-4 + 2) = - 8 +2+ 14

-4( - 2) = - 8 + 2+ 14

8 = 8

Yes it does

A flagpole casts a shadow that is 50 feet long At the same time, a woman standing nearby who is five and a half feet tall casts a shadow 4 feet long How tall is the flagpole? Draw a picture to help, if needed

Show your work please :’).

Answers

Answer:

68.75 feet tall

Step-by-step explanation:

Create a proportion where x is the height of the flagpole

[tex]\frac{x}{50}[/tex] = [tex]\frac{5.5}{4}[/tex]

Cross multiply and solve for x

4x = 275

x = 68.75

So, the flagpole is 68.75 feet tall

Which angles are supplementary to each other?

Answers

i think it is 10&3
explanation:

it taken 12 days for 10 men assemble a machine how long could it take for 15 men to assemble the machine?​

Answers

It will take 17 men to assemble a machine

Question A researcher wants a 30 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 11%. How much of each solution must she use to get the desired concentration?​

Answers

Answer:

The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.

Step-by-step explanation:

Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:

100 x 0.11 + 0 x 0.02 = 11

90 x 0.11 + 10 x 0.02 = 10.1

80 x 0.11 + 20 x 0.02 = 9.2

70 x 0.11 + 30 x 0.02 = 8.3

66.666 x 0.11 + 33.333 x 0.02 = 8

30 x 0.6666 = 20

Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.

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