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 statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

Find the slope of the line

Answers

Answer:

1/2 is the slope

Step-by-step explanation:

By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =

Answers

Answer:

2739

Step-by-step explanation:

3000-(52+276:8)-(1750:10)

3000-(52+34)-175

3000-86-175=2739

Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
A.
12.4%

B.
24.7%

C.
32.1%

D.
62.3%

Answers

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?​

Answers

Answer:

$11.75

Step-by-step explanation:

50-38.25=11.75

Answer:

She had $11.75 in the beginning

Step-by-step explanation:

Subtract

50-38.25

you should get 11.75

hope this helps

take care


Find the equation of the line with m = 2 and goes through (-4,5).PLEASE HELP

Answers

The Equation is y=+5
Why:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.

How do you further solve this?

Answers

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

13 less than the product of a number and 6 is 5

Answers

Answer: Excuse me, what do you mean "and 6 is 5?"

Step-by-step explanation:

PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it

Answers

Answer:

1  19/30

Step-by-step explanation:

Answer:

NEVERMIND (I thought 45/30, but i dont know)

Step-by-step explanation:

Look at pic and pls halp

Answers

70° because the angle between jk is 110 after subtracting 70 from 180. For angle 1, subtract 110 from 180 to get 70

As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.

Answers

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

All the factors of 7 are also factors of 14. True or False?

Answers

Answer:

true

Step-by-step explanation:

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál


es el grosor de una hoja?

Answers

Responder:

0,01 cm

Explicación paso a paso:

Dado que :

Un paquete de 100 hojas iguales = 1cm de alto

Esto significa que el grosor del paquete es de 1 cm de alto.

Dado que las hojas son iguales, el grosor de una sola hoja será:

(Espesor del paquete completo / número de hojas en el paquete)

(1 cm / 100)

= 0,01 cm

Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.

Esto problema é solucionado por proporciones, se utilizando de una regla de três.

Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?

La regla de três es dada por:

100 hojas - 1 cm

1 hoja - x cm

Aplicando multiplicación cruzada:

[tex]100x = 1[/tex]

[tex]x = \frac{1}{100}[/tex]

[tex]x = 0.01[/tex]

Por eso, el grosor de una hoja es de 0.01 cm.

Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636

How many fewer 14 starfish are there than 16 jellyfish and 4 sharks

Answers

Answer:

6 fewer starfish

Step-by-step explanation:

16+4=20

20-14=6

6 fewer starfish are there.

Pls help need answers fast

Answers

Answer:

1. 11-y=-9

2. 41+w=26

3. r÷6=-4

4. 18(p)=54 or 18×p=54

5. Yes V= -52

6. Yes Z= -3

7. No would equal 43

8. No T would equal positive 6.

9. B

10. C

11. D

12. A

You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many

Answers

Answer:

B. 1 triangle only!

Step-by-step explanation:

Since the angle and the sides are fixed!

5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions

Answers

Answer:

Hope this helps!

Step-by-step explanation:

A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture

Answers

Answer:

[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]

Step-by-step explanation:

Circumference can be found by multiplying the diameter of the circle by pi.

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

We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.

[tex]d= 2r[/tex]

[tex]d= 2(20 \ cm)[/tex]

[tex]d= 40 \ cm[/tex]

Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.

1. In Terms of Pi

If we solve in terms of pi, we leave π in the answer.

[tex]c=\pi ( 40 \ cm)[/tex]

[tex]c= 40 \pi \ cm[/tex]

2. Using 3.14 as Pi

[tex]c=\pi ( 40 \ cm)[/tex]

Substitute 3.14 in for pi.

[tex]c= (3.14)(40 \ cm)[/tex]

[tex]c=125.6 \ cm[/tex]

3. Using 3.14159 as PI

[tex]c=\pi ( 40 \ cm)[/tex]

Use the pi button on a calculator.

[tex]c= 125.6637061 \ cm[/tex]

The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm

Cost of shoes $29.95
Markup: 20%
What is the new cost?

Answers

New cost = original price x (1 + markup)

New cost = 29.95 x ( 1 + 0.20)

New cost = $35.94

I think the answer is 35.94

You have to read 36 pages for your history class tonight. If you read 1 page every two minutes, how long will it take you to read the assigned pages?

Answers

Answer:

72 minutes or 1 hour and 12 minutes

Step-by-step explanation:

36(2)=72

a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there?

Answers

Answer:

9400

Step-by-step explanation:

I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!

After you have opened a checking account and made a deposit, you may write
checks. A check directs the bank to deduct money from your checking account to
make a payment. Your account must contain as much money as the amount of the
check you are writing to avoid overdrawing your account.
Write each amount in words as it would appear on a check.

Answers

Answer:

kentrell top Guadlin 4kt

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

Paula walked on the treadmill for 11 minutes. The machine told her she had a total of 671 strides. What was her rate in strides per minute?

Answers

Answer:

61 strides per minute

Step-by-step explanation:

You just divide 671 by 11

hope this helps:)

Answer:

61

Step-by-step explanation: All you have to do is divide 671 by 11

Other Questions
On any given day or night, what determines the visible phase of the moonA. how much of the sunlit side of the moon is visibleB. the time of day or night that we look at the moonC. how far the moon has rotated on its axisD. how much of the moon is lit by the sun Which statement best explains why the author chooses to include a flashback in this passage?A. to show how immature George was in schoolB. to show how the narrator overcame his conflict with GeorgeC. to show why George was threatened by another studentD. to show why the narrator was such a good student in school An airplane descends 2.2 miles to an elevation of 6.55 miles. Find the elevation of the plane before its descent.The initial elevation of the plane was _________ miles. How was Montesquieu wrong about the English government? How did Thomas Paine reach so many people with his pamphlet Common Sense? Hand-delivered it to thousands Included colored images Printed it with large font Used plain language Which geographic region is not included in Latin America?A. North AmericaB. South AmericaC. Central AmericaD. Caribbean islands Which of the following represents the solution to the equation 4x - 2 = 10? What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you! how do people help millions 100 millions of people? 99 points for answering The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees. Please help!!! List four benefits of entrepreneurial thinking how was bohrs atomic model different from those of previous scientists SI01 Christianity: Beliefs01.1 Which one of the following describes the meaning of the word 'omnipotent?[1 mark]e donePut a tick (E) in the box next to the correct answer.A All-lovingad answerWardedB All-powerfulC JustD Creator find the slope thanks Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.Students are randomly seated at the tables as they arrive to class.What is the probability that the first student to arrive will be seated at a square table What teen movies have the theme "treat others how you want to be treated." The main idea is usually found in thesentences of a paragraph.O A. first or lastB. middleO C. firstO D. last What is 3 fourths times one half Which sentence is correctly punctuated? WILL GIVE YU MONEY GIVE ME YOUR CASH APP PLSHowever I occasionally, like to read stories set in the future.However I occasionally like to read stories set in the future.However, I occasionally like to read stories set in the future.However. I occasionally like to read stories set in the future. When Georgions on the home front read about the Pacific Theater during World War II, they were reading about thegoal of defeatingGermanyJapanChinaItaly