Multiply the polynomials: (x – 4)(x2 + 2x – 5)

Question 16 options:

A)

x3 + 6x2+ 3x – 20

B)

x3 + 6x2 + 3x + 20

C)

x3 – 2x2 – 13x – 20

D)

x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:

A)

7x3 + 14xy

B)

x3 + 4xy

C)

7x3 + 14xy + 16y

D)

x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:

A)

x = –5, x = 4∕5

B)

x = –4∕5, x = 5

C)

x = 4∕5, x = 5

Answers

Answer 1

Step-by-step explanation:

Hey there!

Given;

[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]

[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]

[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]

[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]

Therefore, Option D is correct answer.

Q.no.

Given;

[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]

[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]

[tex] = {x}^{3} + 4xy + 16y[/tex]

Therefore, answer is Option D.

Qno.

Given;

[tex]5 {x}^{2} + 29x + 20 = 0[/tex]

[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]

[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]

[tex]5x(x + 5) + 4(x + 5) = 0[/tex]

(5x + 4)(x + 5) =0

Either (5x+4)= 0,

5x = -4

X = -4/5

Or, X+5 = 0

X = -5.

Therefore, X= -5, -4/5.

Hope it helps....


Related Questions


Which fraction is equal to 30%?
A.
30
100
B.
100
300
C.
100
30
D.
3.0
100

Answers

Answer:

A. 30/100

Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:

(Numerator/Denominator)*100

When you enter 30/100 into the above formula, you get (30/100)*100 which calculates to:

30%

Good Luck!

Answer:

1. 30/100

Step-by-step explanation:

Convert fraction (ratio) 30 / 100 Answer: 30%

What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?

Answers

Answer:

78.54in²

Step-by-step explanation:

i used the formula

A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?

Answers

thats alot of apples. what does a person need with all if those apples?

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

A biologist is recording the loss of fish in a pond. He notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on June 1. What is the number of fish in the pond on June 1?

Which equation can be used to find the number of fish in the pond on June 1?


63−f=52

f−52=−63

f−52=63

f−63=−52

Answers

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

Find all solutions of sinx-sqrt1-3sin^2x=0

Answers

Answer:

what

Step-by-step explanation:

that doesnt make any sense

Solve working backwards with the distributive property. 7(7) - 7(2) =

Answers

Answer:

35

Step-by-step explanation:

(7x7=49) (7x2=14)

then you do

49-14= 35

Which questions result in data that is categorical? Check all that apply.

Is your job as an IT administrator stressful?
What is your biggest source of stress?
How has your job impacted your personal life?
In the past week, how many hours of overtime did you work?
Have you ever considered switching careers because of on-the-job stress?

Answers

Answer:

The answer is 1,2,3, and 5

Step-by-step explanation:

The person above me answered it correctly, I basically just copied and pasted it onto here :)

Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

Given,

- Is your job as an IT administrator stressful?

- What is your biggest source of stress?

- How has your job impacted your personal life?

- In the past week, how many hours of overtime did you work?

- Have you ever considered switching careers because of on-the-job stress?

We need to find which options are categorical.

What are categorical data?

The data that can be divided into groups are called categorical data.

Example:

People who know how to drive and who don't know how to drive.

We can have two groups here.

Yes and No.

Find which of the following are categorical.

- Is your job as an IT administrator stressful?

We can have two groups:

Yes and No.

It is categorical data.

- What is your biggest source of stress?

We can have different answers which can not be categorized into groups.

It is not categorical data.

- How has your job impacted your personal life?

Everyone will have different answers so it is not categorical data.

- In the past week, how many hours of overtime did you work?

Everyone will have a different answer so we can not make groups.

It is not categorical data.

- Have you ever considered switching careers because of on-the-job stress?

We can have answers as yes and no so we can make two groups

It is categorical data.

Thus Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

Learn more about categorical data here:

https://brainly.com/question/19587873

#SPJ2

1/2 + 2/3 divided by 1/6 =

Answers

Answer:

4 3/6 or simplified 4 1/2

Step-by-step explanation:

Answer:

The answer is 4.5

Step-by-step explanation: Trust me thats the answer :)

There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?

Answers

Answer: The answer is 15:7

Answer:

15:7

Step-by-step explanation:

Pete walks 2 miles in an hour. At this rate how many miles can Pete walk in 4 hours

Answers

Answer:

8 miles

Step-by-step explanation:

2 miles= an hour

4 miles= two hours

6 miles= three hours

8 miles = four hours

Answer:

8

Step-by-step explanation:

Use Pete's walking speed: 2 miles per hour × 4 hours = 8 miles.

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

X=1.56 cm

X=1.44cm

X=2.25cm

X=0.64

Answers

Answer:

x= 1.44

Step-by-step explanation:

I divided 1.2 cm by 0.96 to find the factor, which give me 1.25.

So I did 1.8 cm divided by 1.25 which give me the answer above.

Hope that helps.  

the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?

Answers

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: 3 hours

Explanation: There are 24 hours in a day, and the robots use 2 bags of coffee a day, so you gotta do 24/2 and that means 1 bag of coffee lasts 12 hours. Next, the question is how long does 1/4 bag last, so you do 12/4 and get 3, therefore the correct answer is 3 hours. Hope this helped!

Circle geometry please help,

Answers

Answer:

7. Inscribed angle

Step-by-step explanation:

7. Inscribed angle

8.

y° = 70°

z° = 140°

8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.

Therefore, y° = 70°

Measure of central angle is two times the measure of the inscribed angle.

Therefore,

z° = 2* 70° = 140°

The Pythagorean theorem

Answers

Answer:

b = 3√37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Define

a = b

b = 14

c = 23

Step 2: Find b

Substitute [PT]:                     b² + 14² = 23²Isolate b term:                      b² = 23² - 14²Exponents:                           b² = 529 - 196Subtract:                               b² = 333Isolate b:                               b = 3√37

Answer:

b=3root37

Step-by-step explanation:

A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?

Answers

Answer:

5,940 cubic centimeters

Step-by-step explanation:

Volume of puzzle box

= Area of base*Height

= 220*27

= 5,940 cubic centimeters

PLEASE ANSWER ASAP!
2(h -3.5) = -11
what is h?

Answers

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes

Answers

Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

Is this a positive trend or negative trend or no trend please help ​

Answers

Answer:

negative trend because the values are decreasing

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

Mrs. Feinstein recorded the weight, in pounds, of each of her 8 great-grandchildren, Her data are shown 45. 52. 31. 27. 38, 60, 44, 55 What is the mean absolute deviation of the data? a 0 pounds b. 9 pounds C 10 pounds d. 44 pounds​

Answers

Answer:

D. 44 pounds

Step-by-step explanation:

I believe this is the answer, I have not done this in a while so let me know how I did :)

Is the given value a solution of the inequality?

Answers

Answer:

I don't think so

Step-by-step explanation:

if the s has to be more than or equal to then s would have to equal 8 or more

Which expression is equivalent to the measure of <4 in the image below?
M<1+m<2
M<1+m<3
M<2+m<6
M<5+m<6

Answers

Answer: a

Step-by-step explanation:

What is the area of a circle if it has a diameter of 14 units

Answers

Answer:

143.94 is the area of the circle

I NEED THE WORDS AND TERMS TO MATCH THE WORDS ILL GIVE YOU 50 POINTS AND BRAINILEST

Answers

Answer:

1 = 5

2 = 8

3 = 1

4 = 3

and

5 = 9

Step-by-step explanation:

7.5 divided by 46.75 ​

Answers

0.16042780748
ok this is on a calculator
but u would do the first three and estimate it which is
0.164
that would be ur answer

Answer:

1

Step-by-step explanation:

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

Answer:

84

Step-by-step explanation: (edited)

52% problems are pointless i.e. 48% are NOT pointless.

Recall that 1% = 1/100.

Therefore 48% = 48/100 = 12/25.

Let x be the number of problems that are not pointless.

x/175 = 12/25

x = 84

Answer:

84

Step-by-step explanation:

According to the question

175×48%

175×48/100

7×48/4

7×12

84

63 as a fraction in sumplest form

Answers

Answer


63/100


:) not sure but there

1. Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? *
plz help and explain
2. Of the 50 players in a school band, 12% play a woodwind instrument. How many players play a woodwind instrument? * Both different questions

Answers

Answer:

14

Step-by-step explanation:

add the stuff together

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