Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 1)(x - 3)(x - 4)

Answers

Answer 1

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

Answer 2
the are three roots -1,3,and 4

Related Questions

A random sample of 2,500 people was selected, and the people were asked to give their favorite season. Their responses, along with their age group, are summarized in the two-way table below.

Among those whose favorite season is spring, what proportion are adults?
1.)250/1000
2.)250/2500
3.)475/2500
4.)250/475
5.)225/475

Answers

Answer:

250/475

Step-by-step explanation:

If m<1=55, find m<8.

Answers

Four-hundred forty i believe is your answer

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of new words (words not used in the poet's other works). The standard deviation of the number of new words is . Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z ?
b. The p-value is greater than ?
c. What is the conclusion?
a)The sonnets were written by another poet
b) There is not enough evidence to reject the null.

Answers

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

write 3 numbers that make this inequality true: x>4​

Answers

Answer:

8, 10, 24

(Basically every number above 4)

Answer:

5,6 and 7

> means more than or greater than.

In this situation, its asking for numbers greater than 5.

Hope this helps. ;)

7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)

Answers

After a reflection across line y=x the vertices of triangle P’Q’R’ are as follows
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)

The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3)

Here,

To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.

Original vertices of the triangle:

P(-7, -1)

Q(-7, -8)

R(3, -3)

Now, swap the x and y coordinates to get the reflected image:

Reflected image vertices:

P'( -1, -7)

Q'( -8, -7)

R'( -3, 3)

So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3).

To learn more on reflection click:

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It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84? What do I know? What do I want to find out? What do we expect the answer to be? How do I go from what I know to what I want to find? Does this answer seem reasonable?

Answers

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36]  = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42]  = 42/72  = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84]  = 30

30/42  = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

Find the midpoint of the segment with the following endpoints.
(-4,-9) and (4, -1)

Answers

Answer:

[tex](0,-5)[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -9)

Point (4, -1)

Step 2: Find midpoint

Substitute:                    [tex](\frac{-4+4}{2},\frac{-9-1}{2})[/tex]Add/Subtract:               [tex](\frac{0}{2},\frac{-10}{2})[/tex]Divide:                          [tex](0,-5)[/tex]

select all the equations on which the point (10, 0) lies. A. 5x+2y=15 B. 2x+4y=20 C. x+6y=10 D. 3x+3y=13 E. 4x+2y=20 F. 6x+y=50

Answers

Answer:

The answer to this problem is B, C, and E.

Step-by-step explanation:

The true equations are B. 2x+4y=20 and C. x+6y=10

How to determine the equations?

The point is given as (10,0)

This means that:

x = 10 and y = 0

Next, we test the options by substituting the above values.

So, we have:

A. 5x+2y = 15

5(10) + 2(0) = 15

50 = 15 ---- false

B. 2x+4y = 20

2(10) + 4(0) = 20

20 = 20 ---- true

C. x+6y=10

10 + 6(0) = 10

10 = 10 ---- true

D. 3x+3y=13

3(10) + 3(0) = 13

30 = 13 ---- false

E. 4x+2y=20

4(10) + 2(0) = 20

40 = 20 ---- false

F. 6x+y=50

6(10) + 0 = 50

60 = 50 ---- false

Hence, the true equations are B. 2x+4y=20 and C. x+6y=10

Read more about linear equations at:

https://brainly.com/question/14323743

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Find the zeros of f(x) =x^3+2x^2-3x

Answers

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

Can someone help me??

Answers

Answer:

24 i think if im wrong im sorry :(

Step-by-step explanation:

The difference between a number y and 9 is -34. What is the number?

Answers

Answer:

y-9=34

y=34+9

y= 43

Step-by-step explanation:

please Mark as brainliest

Answer:

y= -25 because if you add -25 to 9 it gives you -34

The $199.99 camera Anne purchased was on sale for 25% off. What amount did Anne get off the price rounded to the nearest dollar?

Answers

Answer:

50 dollars

Step-by-step explanation:

199.99 x .25

Answer:

the answer is 50 dollars

PLEASEEE HELPPPPPPP :))))))))

Answers

Answer:

False

Explanation

The x-intercept of a line occurs when the line intersects with the x-axis.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?

Answers

C = 5h + 3
C = 5(5) + 3
She will make $28

A store bought a shirt for $20 dollars.
They sold it for some $23 dollars.
What is the percent of change here?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Thanks for posting your question! Let's solve your problem:

The answer to your question is: 280% increase!

When we do percent of change, we will set up this ratio.

 CHANGE IN QUANTITY (23 - 20)

------------------------------------------

  ORIGINAL QUANTITY (3)

The change in quantity is : 23 - 20

The original quantity would be 3, 23 - 20 = 3.

Now, we will convert that into a fraction.

20 / 2 = 10

23 - 20 = 3

Fraction - 3/10

Make the fraction into a decimal.

3/10 = 0.15

Make the decimal into the percent.

0.15 = 15% increase

Best of Luck!

Select the scenario below that demonstrates sampling bias. Select the correct answer below:

A. Justin wants to estimate the ethnic background distribution of residents of his town. He collects data from 1000 randomly selected town residents by using a random number generator.

B. To estimate the mean salary of accountants at her bank, Patricia collects data by recording the salaries of all accountants included in 12 randomly selected bank sites.

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

D. To estimate the mean satisfaction level of coworkers at her company, Annie collects data by recording the satisfaction level of every 25th coworker on the list of coworkers after a randomly selecting first coworker.

Answers

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance.  Hence, this is Sampling Bias

1.2, 1.05, 1.5, 1.005
In order from smallest to largest

Answers

1.005, 1.05, 1.2. 1.5

Answer:

1.005, 1.05, 1.2, 1.5

Step-by-step explanation:

think of it as:

1.200

1.050

1.500

1.005

then we can see that from least to greatest, it is: 1.005, 1.05, 1.2, 1.5

Patrick is 5.432 feet tall, Ivan is 5.503 feet tall, Laura is 5.413 feet tall, and Daisy is 5.510 feet tall. Which of the following lists them in order from tallest to shortest?

Answers

Answer:

Daisy, Ivan, Patrick, Laura

Step-by-step explanation:

That's just the numbers biggest to smallest.

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Answers

Answer:

lol

Step-by-step explanation:

Oil ??.................

Solve four and six eighths minus two and three fifths.

(GIVING EXTRA POINTS AND BRAINLIEST ON THIS ONE!! *v*)

A) one and six thirteenths

B) one and three fortieths

C) two and six fortieths

D) two and three thirteens

(Here is an image if needed) :

Answers

I'm pretty sure the answer is number 2.

Answer:

b

Step-by-step explanation:

In simple terms what exactly would cause this county to experience a food shortage

Answers

Answer:

obese people eating millions a day.

Step-by-step explanation:

here is some info about a play

starts at 7:30

1st act lasts 46 min

interval 20 min

2nd act 53 min

what time does the second act end

Answers

Answer:

The answer would be 9:29

Step-by-step explanation:

7:30 and add 46 min would be 8:16

8:16 and 20 min would be 8:36

8:36 and 53 min would be 9:29

What compound inequality describes the graph shown below?

Answers

Answer is less than or equal to -7 or -5greater than or equal to

At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?

Answers

Answer: 117 tickets left

Step-by-step explanation:

The answer is 117

9x17=153
153-36=117

On a television game show, contestants earn 5 points for each correct answer, but lose 2 points for each wrong answer. On last week's show, the winning contestant earned 80 points and answered 30 questions.

Given that x represents the number of questions answered correctly, and y represents the number of questions answered incorrectly, determine which system of equations correctly represents this situation.
A. 5x-2y=30
x+y=80
B. 5x-2y+80
x+y=30
C. 5x+2y=80
x-y=30
D. 5x+2y=30
x+y=80

Answers

Sorry to inform that I can't find the answer to this question.

Socratic can help! This learning app, powered by Google AI, helps you understand your school work at a high school and university level. Ask Socratic a question and the app will find the best online resources for you to learn the concepts.

Find the 15th term of the arithmetic sequence whose common difference is d = 8 and whose first term is a,=5.​

Answers

Answer:

117

Step-by-step explanation:

Tn=a+(n-1)d

5(15-1)8

117

cual es la formula del rombide.help me​

Answers

Answer:

Step-by-step explanation:

The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).

B is the base of the rhomboid and a is the length of the side of the rhomboid.

Hope this helped! If so, plz mark brainliest.

Answer question 9 plz its a test and i will mark u brainliest

Answers

#1,#3, reflect across the axis

PLEASE HELP MATH 100%: How does Newton’s Second Law apply to the field of robotics? why is this a litreal math question like i know-

Answers

I- I’m bouta SUE that math teacher-
Also the answer is

2.2.1 Newton's Second Law of Motion Applied to Mechanical Systems Modeling
Newton's second law of motion states that the acceleration of a particle
(
a
=
x
¨
=
d
2
x
(
t
)
/
d
t
2
)
is proportional to the force applied to it and is in the direction of this force. The proportionality constant is the mass m for a constant-mass particle or a rigid body undergoing translatory motion whose inertia can be reduced to a point. In cases where several external forces act on the particle in the motion direction, the acceleration is proportional to the algebraic sum of external forces fj
(2.34)
m
x
¨
=

j
=
1
n
f
j
An equation similar to Eq. (2.34) can be derived from Newton's second law of motion (which is formulated for translation), expressing the dynamic equilibrium of a body of constant mass moment of inertia J rotating about a fixed axis:
(2.35)
J
θ
¨
=

j
=
1
n
m
t
j
where mtj are the torques acting on the rotating body and the rotary acceleration is
θ
¨
=
d
2
θ
(
t
)
/
d
t
2
(the symbol mt has been used for moments to avoid confusion with the mass symbol m). Equation (2.35) is also valid for a particle rotating about an external axis.
Equation (2.34) for translation and Eq. (2.35) enable deriving mathematical models formed of the differential equation(s) connecting the input and the output through system component parameters. Instrumental to correctly applying these equations is the free-body diagram, which isolates a mechanical element from its system using external forcing as well as reaction forces and moments from the elements that have been separated from the studied element. The equations based on Newton's second law of motion and the free-body diagrams are utilized for the remainder of this chapter, as well as in Chapter 3, to determine the free and forced responses of mechanical systems
PHEW thank GOD for copy and paste-
Take what you will from this

Which number lines have points that represent additive inverses? Check all that apply.

Answers

2 Answers: B and D

===================================================

Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

Answer:

B and D

Step-by-step explanation:

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