Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

–2

–3

2

3

4

Answers

Answer 1

Answer:

Roots are -2, 3, and 4

Step-by-step explanation:

Let's use the rational roots test.

Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).

Starting with 2.

8 - 20 - 4 + 24 = 8 (so 2 is not a root).

Let's try 3.

27 - 45 - 6 + 24 = 0 (so 3 is a root).  (x-3) is a factor.

Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.

x3-5x2-2x+24 / x-3

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

Answer 2

Answer:

A, D, E

Step-by-step explanation:

For edge


Related Questions

George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?

Answers

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

Solve for y
3(7y + 4) = 15y + 6y +4+8

Answers

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation:

Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes

Answers

9 because 39\3 =13 and 13 divide by 117 =9

which equation represents a proportional relationship? ​

Answers

Answer:

y = 1 - 1/3x

Step-by-step explanation:

Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay

Answers

Answer:

100

Step-by-step explanation:

5% of 2000 is 100

A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?

Answers

4.5 hrs because 162.50-50 = 112.50
112.50/25= 4.5

ILL GIVE YOU A BRAILLEST???

Answers

Answer:

K= 4

Step-by-step explanation:

Cross multiply

Answer:

k = 4

Step-by-step explanation:

To solve ANY proportion, you can cross multiply. For example, in this case, you can multiply 7 x 32 and k x 56. Remember, a proportion is always equal, so 7 x 32 = k x 56. That means 224 = 56k. Which means k = 4. Hope that helped!

need help asap!!!!!!​

Answers

Answer: x=4

Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this  E         F          G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.

y=.2x proportional or non-propertional

Answers

Answer:

If the ratios are equivalent then the relationship is proportional. With the graph, the origin is 0,0 (the starting point). A straight line through the origin = proportional. equation is of the form y=kx (y=2x).

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Give me the answers for a free brainly

Answers

Cockkkkkkkkkkkkkkkkkkkkkkkkkkkk

10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(

Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?

a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.

b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.

d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.

Answers

Answer:

Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

Mark as brainliest if it's correct!

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)

Answers

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements

Answers

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

Problem 2. A random variable has the following density function:
f (x) = 1- 0.5x 0 < x < 2


a. Graph the density function.
b. Verify that f(x) is a density function.

Answers

If f(x) is a density function, then its integral over the entire real line should be 1:

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2(1-0.5x)\,\mathrm dx=(x-0.25x^2)\bigg|_0^2=2-1=1[/tex]

so yes, f(x) is indeed a density function.

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.
C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

what is the dit between -4 and 6​

Answers

the difference is 2 , just -4 + 6 .

The serving size for toddlers daily vitamin C is 3/4 cup of orange juice if there are 21/4 cup of orange juice how many servings of vitamin C are there for a toddler

Answers

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

68 over 100 is what %

Answers

Answer: it should be 68%

Select the correct answer. Kylie has finished creating her résumé. What should be her final step to complete the résumé? A. include a photograph B. include her contact details C. proofread the document D. mention her age

Answers

Answer:

C. Proofread the document

Step-by-step explanation:

All of the other steps should have already been done when she was creating her résumé. Hope this helps!

50 POINTS PLS HELP!!!!

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?

A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C: A segment in the image has the same length as its corresponding segment in the pre-image.

D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Answers

Answer:

Answer choice C.

Step-by-step explanation:

Find the unit rate. Round to the nearest hundredth, if necessary.

$340 for 18 ft2

Answers

Answer:

18.89

Step-by-step explanation:

340/18=18.8888

18.888 to the nearest hundredth is 18.89

If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 30 minutes?*

Answers

Answer:

You can run 5 miles in 30 minutes.

Step-by-step explanation:

y = [tex]\frac{1}{6}[/tex] x

y = [tex]\frac{1}{6}[/tex] (30)

y = 5 miles

You can run 5 miles in 30 minutes.

FEMALE REPRODUCTIVE SYSTEM (SE-7)

(have this done correctly for brainiest)

label the image with the words below.​

Answers

Answer:

reproductive

Step-by-step explanation:

You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?

Answers

Answer:

15/41

There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total

-2(+7)-3(4- 2x).
Help I will give you brainliest who does it first

Answers

6x-26 is your answer

Answer:

-2(+7)-3(4-2x) simplified = −26+6x

Step-by-step explanation:

PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?

Answers

It takes them 5 hours to drive 325 miles!

Since they travel 65 miles per hour, you multiply 65 x 5 and you get 325! Hope I helped :)

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.

Answers

Answer:

11,355

Step-by-step explanation:

Because it's 3,785 per gallon, you just have to multiply that by three, which gets you 11,355

Which fraction/decimal is greater

Answers

Answer:

-5.25>-5 3/10

Step-by-step explanation:

let's convert -5 3/10 into a decimal

which is

-5.3 or -5.30

-5.25 and -5.30

because it's negative, the lowest number is the greatest number so

-5.25 is greater than -5.30

-5.25 is greater than -5.30

If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time? (Round to two decimal places)

Answers

Answer: $96.15

Step-by-step explanation:

If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:

52*10 h = 520h hours.

Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.

Then how much is worth each one of these 520 hours?

Let's take divide the value of the scholarship evenly into the 520 hours:

$50,000/520h = $96.15.

This means that the hourly return is $96.15

You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500

Answers

Answer:

B

Step-by-step explanation:

120/60=2

2 hours

The time required in minutes to set the sterilizer is 120. The correct option is B.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.

The time in minutes will be calculated as:-

Time = 2 hours

Time = 2 x 60 minutes

Time = 120 minutes

Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.

To know more about an expression follow

https://brainly.com/question/11096532

#SPJ2

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