Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)

Answers

Answer 1

Answer:

9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2

Step-by-step explanation:

(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)

 

=(6×2+3x

2

+15x+10x2+5x+25)(3x+5)(2x2+x+5)=

=(3x

2

+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+30×2)(2x2+x+5)=

=(9x

3

+75x

2

+175x+50x2+125+30×2+18x

2

x2+30×2)(2x2+x+5)=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2=

=9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2


Related Questions

Convert the expression (√5)(∛5) to exponential form. Show your work.

Answers

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

Compare the numbers using >,<, or =
874,023______874,233

5,493,820______5,492,483​

Answers

Answer:

<

>

Step-by-step explanation:

We have two sets of numbers and are asked to compare using the <, >, = symbols.

Remember :

< means less than

> means greater than

= means equal to

One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?

874,223.

<

Now for the second set,

>

A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.

Answers

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.



What is the unit rate of her speed in miles per minute?

Answers

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

Answers

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Put these fractions in order of size

Answers

1/6 = 4/24
3/8 = 9/24
11/24
1/3 = 8/24
5/12 = 10/24

1/6, 1/3, 3/8, 5/12, 11/24

A number equals four less than three times the number.
How do you write this equation

Answers

Answer:

n = 4 - 3

Step-by-step explanation:

In order of operation plsss help 10/5 + 3 x 5 - 5

Answers

The answer is 12
Step one- 10 divide by 5 is 2
Step two- 3 times 5 is 15
Step three- add them together is 17
Step four- then subtract 17 from 5
Final step- then your answer will be 12

what is the area of a circular swimming pool with the radius of 3 feet

Answers

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

how do you complete this task?

Answers

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

Answer:

[tex]-\frac{3}{2} [/tex]

Step-by-step explanation:

3x + 2y + 18 = 0

Equating it with.

ax + by + c = 0, we find:

a = 3, b = 2, c = 18

Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]

A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?

Answers

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)


Answers

Mr. Thomas can make 50 batches of sugar cookies

please help me find the value of x​

Answers

Answer:

67°

Step-by-step explanation:

Corresponding angles are equal in parallel lines.

Here, ∠acb and ∠aed are corresponding angles for lines bc and de

hence ∠aed = ∠acb = 39

in triangle ade,

x + 74 + 39 = 180 (angle sum property of a triangle)

x = 67°

greg wants to buy a video game.the game is 50% off and the original price is $40.00how much will greg have to pay for this video game

Answers

Answer:

its 4.00%

Step-by-step explanation:

2. Write the equation –3x + 5y = 10 in slope-intercept form.

Answers

Y=3/5x+2

Hope this helps

1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50

Medium 10 oz cup for $3.49

Large 15 oz. cup for $5.99

Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer

Answers

Super size gives you the best price per ounce

True or false?

The length of the intercepted arc is equal to the circumference of the circle.

Answers

Answer:

True

Step-by-step explanation:

i’m sure the arc is just a piece of the circumference so false

Pls help!! i beg you

Answers

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

   

   

Hope It Helps!

Can you help me on question 25?!

Answers

Not sure if I’m correct because I don’t know if I solved it the right way but it should be(and this is just a guess) A.

Choose >, <, or = to compare each pair of numbers

5.31 ______ 5.13

Answers

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

The interval(s) for which the function shown below is increasing

Answers

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

pls brainlist

A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).

Learn more about Function here:

https://brainly.com/question/5245372

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The length of a boat is 10.8 metres. Boris buys a scale model of the boat. The scale of the model is 1/18 Work out the length of the scale model of the boat. Give answer in centimetres

Answers

Answer: 60 cm

Step-by-step explanation:

The actual length of the boat is 10.8 meters.

The scale model length is 1/18 of the actual boat.

Length of scale model will therefore be:

= 10.8 * 1/18

= 0.6 meters

A meter is 100 centimeters.

= 0.6 * 100

= 60 cm

A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).

(a) Determine the slope of the new road.

(b) Determine the equation of the new road.

Answers

Determine the equation of the new road

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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2x+3y=5x-y2x+3y=5x−y

Answers

Here you go, please tell me if you got it right or wrong. Good luck! I’m sorry if it’s incorrect btw.

​9 ×​ 10²
I NEED ANSWERS QUICK

Answers

900.


Hope this helps!

boole summation formula used in real life

Answers

Elbert frank cox? I think

how do you draw a linear graph equation for y=7​

Answers

Answer:

wait pag iisipan ko that konting saglit

Answer:

line going left and right on the 7 in the y axis.

Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.

Answers

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Choose the number that correctly completes the ratio table.

Answers

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

what is 0.48 times 0.4

Answers

Answer:

0.193

Step-by-step explanation: