Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers

Answers

Answer 1

Answer:

Step-by-step explanation:

(x+1)(x+3)(x+5), multiply first two parenthesis

(x² +3x +x +3)(x+5), combine like terms

(x² +4x +3) (x+5), multiply the parenthesis

(x³ +5x² +4x² +20x +3x +15), combine like terms

x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d

a=1, b=9, c=23, d=15 are all positive integers


Related Questions

this is an area in which objects will interact with a magnet

Answers

answer: magnetic field

In A Fraction What Is The Number On Top Called

Answers

the fraction on top is classed the numerator

Answer: numerator

Step-by-step explanation the bottom is the denominator

Hopes this helps✊

1/ 99 to 4 significant figures​

Answers

Answer:

  0.01010

Step-by-step explanation:

The decimal equivalent is ...

  [tex]\dfrac{1}{99}=0.\overline{01}[/tex]

Rounded to 4 significant figures, it is ...

  0.01010

the smallest number that is divisible by each one of 9,12 and 15 is
(a) 60. (b) 90. (c) 120 (d) 180​

Answers

The answer is (d)
The easiest way to solve the question mathematically is to find the LCM of all the numbers.

And I personally will only just start from their 10th multiple
9 - 90, 99, 108 e.t.c
12 - 120, 132, 144 e.t.c
15 - 150, 165, 180 e.t.c

The end


A=6,500(1.0175)^4t

How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!​

Answers

The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Learn more on compound interest here: https://brainly.com/question/24274034

Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6

Answers

Answer:

Option D is correct

Step-by-step explanation:

First, let's find side BC by using Pythagoras theorem.

Given:

Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC

=> 9² = 7.8² + x²

=> 81 = 60.84 + BC²

=> BC² = 20.16

=> √BC² = √20.16

=> BC = √20.16

=> BC = 4.48998886413 (Using calculator)

=> BC ≈ 4.49 (Estimated)

Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.

=> 1/2(Perimeter) = S

=> Perimeter: Hypotenuse + Side 1 + Side 2

=> 7.8 + 9 + 4.49

=> 21.29 = Perimeter

=> 1/2(21.29) = S

=> 10.645 = S

=> √s(s - a)(s - b)(s - c) = Area of triangle

=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)

=> √10.645(1.645)(6.155)(2.845)

=> √10.645 x 1.645 x 6.155 x 2.845

=> √306.635120999 (Using calculator)

=> √306.64 (Estimated)

=> 17.5111393119 (Using Calculator)

=> 17.51 units² (Estimated)

We can see that option D is the closest option. Therefore, Option D is correct.

If Option D was incorrect, then my second opinion is A.

If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.

Answer:

answer is d) 18.6

Step-by-step explanation:

area = 1/2ab sin ∅

a= 9

b = 7.8

so it's

1/2 ×7.8 × 9 sin 32

use your calculator to get 18.600 unit squared

*we can also use the heroes formula*...

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

Given the graph below, find the slope.

A. -3/2
B.3/2
C -2/3
D. 2/3

Answers

The answer is or the slope is D 2/3

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

(-3x+4)+(x-9) help please.​

Answers

Answer:

- 1 · (2×±5)

Step-by-step explanation:

Answer:

−2−5

Step-by-step explanation:

(-3x+4)+(x-9)

−3x+4+x−9

Subtract

−3x+4+x−9

-3−5+

Combine terms

−3x−5+x

−2−5

smiplify 3^2 x 3^4 x 3^6
PLEASE ANSWER QUICKLY

Answers

[tex] {3}^{2} \times {3}^{4} \times {3}^{6} [/tex]

[tex] = {3}^{2 + 4 + 6} [/tex]

[tex] = {3}^{2 + 10} [/tex]

[tex] = {3}^{12} [/tex]

HELP PLEASE WILL GIVE BRAINLIEST

Answers

No one will solve all ten problems for you

you should create a question for each problem

Answer:

In attachment

Step-by-step explanation:

See the attachment.  They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem.  The inputs would be the two given points for each graph.  Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x.  Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

Aaron noticed that he caught 8 pidgeys for every Squirtle when he played Pokémon Go. If Aaron caught 104 Pidgeys how many Squirtles did he catch?

Answers

Answer:

He caught 13 squirtles

Step-by-step explanation:

104/8 = 13 squirtles

Squirtles divided by pidgeys

2. You have 7 folders and you want to put the same number of pages in each folder.
a. If you have a total of p pages, how many pages will be in each folder?
b. Evaluate your expression to calculate the number of pages in each folder if you have 147 pages or
245 pages.

Answers

Answer:

  a. p/7

  b. 21; 35

Step-by-step explanation:

To find the number of pages in each folder, divide the number of pages by the number of folders.

a. There will be p/7 pages in each folder.

b. 147 pages will result in 147/7 = 21 pages in each folder

  245 pages will result in 245/7 = 35 pages in each folder

Question 1 of 51 Which of the following is not a Pythagorean triple O A. (5, 12, 13) O B. (7,8,9) O C. (3,4,5) D. (9,12,15)​

Answers

Answer:

B

--------

Because:-

5, 12, 13 is a Pythagorean triple

3, 4, 5 is a Pythagorean triple

9, 12, 15 is a Pythagorean triple

7, 8, 9 is not a Pythagorean triple

use this rule:-

[tex]a^{2} +b^{2}=c^{2}[/tex]

?????????????????????​

Answers

Step-by-step explanation:

Distributive property

whats the equation? for the problem

Answers

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

the area of a square whose length is 4.5 m

Answers

area of a square = length × length

a=4.5×4.5

A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?

Answers

Answer:7

Step-by-step explanation:(67-25) divided by 6

mark as brainliest

Subtract the flat rate from the total first:

67-25 = 42

Now divide that by total hours:

42/6 = 7

Answer: $7 per hour

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

B

Step-by-step explanation:

For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get

1.09x + 1.59y + 1.59z

Combine the like terms to create an equivalent expression.
\large{9y+y}9y+y

Answers

Answer:

20y

Step-by-step explanation:

Can someone help me out?

Answers

Answer:

d

Step-by-step explanation:

(repost) Please help! It involves inequalities! Also please include a number line.

Answers

Answer:

  -5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

__

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

Additional comment

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

  -3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

  x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is

please provide small explanation

Answers

Answer:

12

Step-by-step explanation:

First, you have to graph (which I sadly cannot provide an image of)

Then look at the vertical height which is 4, the how long it is which is 6.

So A=1/2*6*4=12

what is the answer for 4x<-28

Answers

Answer:

  x < -7

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  (4x)/4 < (-28)/4

  x < -7

Answer:

x<-7

Step-by-step explanation:

ax + b = c solve for x

Answers

Rearrange for x.

c-b=ax

x=(c-b)/a

Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.

(with explanation pls)​

Answers

Answer:

6 days

Step-by-step explanation:

2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.

Answer:

6 days.

Step-by-step explanation:

The 3 men can build 1/8 of a wall in 1 day.

So 1 man can build 1/24 wall in 1 day.

So 1 boy can build  1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.

So we have the equivalent of  4 men working and they can build 4 * 1/24

= 1/6 of a wall per day

So the answer is 6 days.

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2. 25? Amount Juno Owed for a Taxi Miles Amount Owed (dollars) 1 2. 5 2 2004. 75 3 7 4 9. 25 5 11. 5 Yes, because the amount owed changes by 1 every time the miles change by 2. 25. Yes, because the amount owed changes by 2. 25 every time the miles change by 1. No, because the amount owed does not change by 1 every time the miles change by 2. 25. No, because the amount owed does not change by 2. 25 every time the miles change by 1.

Answers

Linear functions are represented by constant rates.

The true statement is (d) No, because the amount owed does not change by 2.25 every time the miles change by 1.

From the table, we can see that:

As the number of miles increase by 1, the amount owed increases, but it does not increase at a constant rate of 2.25.

This means that, the table does not represent a linear function.

Represent the linear functions at:

https://brainly.com/question/15602982

a water tank can hold up 80 gallons of water. if it is 40% full now. how many gallons of water does the tank contain?

Answers

Answer:

32 gallons of water

Step-by-step explanation:

If the total tank can hold up to 80 gallons of water, it is considered full when it contains 80 gallons. When the tank is 40% full, it has 40% of 80 gallons in the tank. 40% of 80 is 40/100*80=8*4=32 gallons of water.

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