Multiplying Polynomials

Multiplying Polynomials

Answers

Answer 1

Let's see

Area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]

Answer 2

[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]


Related Questions

Point A and point B form a line segment that is 12 units long. Point A is located at (5,-4) where might point b be located

Answers

Point B will be located at the perimeter of the circle with a center of (5, -4) and a radius of 12.

What are coordinates?

A point or shape on a two-dimensional plane is located using a pair of integers called coordinates. A point's position on a 2D plane is indicated by two integers called the x- and y-coordinates.

Assuming that a line segment with a length of 12 units is formed by points A and B.

In addition, Point A is situated at (5,-4)

A circle's radius is the distance along a line segment from the center to any point on the circle. All radii on a circle have the same length by definition.

Point B will be situated at the edge of the circle, which has a radius of 12 and a center of (5, -4).

Learn more about coordinates here:

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P(x) = x^2-4x+4 tại x =2

Answers

If [tex]P(x) = x^2-4x+4[/tex]  and x =2

 

   --> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]

Hope that helps!

Select all the numbers that round to 5.6
when rounded to the nearest tenth.
A. 5.058
B. 5.54
C. 5.56
D. 5.58
E. 5.590

Answers

Answer:

C, D, and E are the answers.

Find the equation of the exponential function represented by the table below,
X.Y
0 4
1 8
2 16
3 32

Answers

Answer:

Graph the exponential function.

[tex]y=-3(8)^{x}[/tex]

Step-by-step explanation:

to make a sketch of this graph. We're gonna make a table of values. I think that's probably our best route. So we'll do a couple negative values, but I'm gonna actually start at 08 to 0. Power zero. And I'm sorry. 80 parts one and one times negative. Three is negative. Three eight to the first. Power is eight and eight times negative. Three is negative. 24 8 X squared is 64 64 times negative. Three is on negative. 192. Okay, I think that's plenty. E to the negative. First power is 18 and 1/8 times negative. Three is negative. 3/8 and eight to the negative. To power is 1 64th times negative. Three is negative. 3 60 force. Okay, I think we can see where that's going. Is getting really close to zero. So as faras my graph here, I'm gonna focus on the fourth quadrant, I think. All right. So we got our X and y axis here. We're starting at 01 and to and we'll also do negative one. And negative two aren't horizontally, vertically. I do. I want to scale this whole the way to 1 92 I guess I will. Um, so whatever it is scaled by, maybe twenties. Yeah, let's do that. 20 40 60 8120 40 60 8200. So there's negative. 200? Um, negative. 1 80 Negative 1 60? Nope. That's not right. Because I scaled by twenties didn't. So this is actually negative. 1 60 This one's negative. 1 20 This one's negative. 80. And this is negative. 40. There we go. All right now a plot. These points to negative 1 92 is practically to 200 one. Negative. 24 is all the way over here. Zero negative three is practically on the X axis The way I have this, and same with those fractional values. They're practically on the X axis. So let's start almost parallel to the X axis because it's never actually touch step than its we don't ever. Slowly and then it starts going down rapidly, decreasing in value to the point where it's almost vertical, but it never will get vertical, so there's a decent sketch of y equals negative three times eight to the power of acts

solve: 15x = 180.75
please and thanks

Answers

Answer:

x = 12.05

Step-by-step explanation:

Given:

15x=180.75

Divide both sides by 15

15x             180.75

------  =         --------

15                   15

x = 12.05

Hence, x = 12.05

~lenvy~

Answer:

12.05

Step-by-step explanation:

Divide both sides by the same term

15x/15 = 180.75/15

180.75/15

= 12.05

Hence, x = 12.05

Check Answer:

15(12.05) = 180.75

[RevyBreeze]

Find the least common denominator (LCD) of 7/9 and 5/6

Answers

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

Charmaine got a prepaid debit card with $15 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was 21 cents per yard. if after that purchase there was $12.27 left on the card, how many yards of ribbon did charmaine buy?

Answers

Answer:

15- 12.27 = 2.73

2.73 is how much she spent on the ribbon.

2.73/ 0.21 = 13

She purchased 13 yards.

A window in Lynn and Jorge's house needs to be
replaced. The rectangular window is 3 feet 5 inches
tall and 2 feet 7 inches wide. Change each of the
measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation
that is $0.50 per inch, how much will it cost to insulate
the perimeter?

Answers

Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note: 1 foot is made up of 12 inches.

3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41

2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31

Part A

P = 2L + 2W                   Substitute the above Values into this equation

P = 2*41 + 2*31              Combine

P = 82 + 62                    Add

Answer: P = 144

Part B

1 inch costs 0.5 dollars

144 inches cost x

1/144 = 0.5/x              Cross Multiply

x = 144 * 0.5

Answer: x = 72 dollars

Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for pi.

Answers

So for the rectangle part you work out the area which is length x width. So you do 5*4 =20. To work out the semi circle you need to know the area for a circle. The equation is pi*r^2. So you do 3.14*(2)^2. R is the radius in the equation. The radius is half the diameter so you divide 4 by 2 to get that. So the answer to the semicircle is 12.56. Finally you need to add them together. So the answer is 32.56.

You buy 45 shares of evu confectioners at $63.12 apiece. unfortunately, the company falls on hard times and you end up selling the stock for $41.20 per share. how much money did you lose? a. $1,854.00 b. $986.40 c. $1,183.68 d. $2,840.40

Answers

Answer:

b is your answer to this question

The money lost due to a hard time for the company is $986.4.

Number of shares =45

Price per share =$63.12

So, the total cost of buying 45 shares = 45*63.12 = $2840.4

Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854

What is a loss?

Mathematically, the loss is the difference between the cost price and the selling price.

Difference between the selling price and the cost price = 2840.4 - 1854

So, the difference between the selling price and the cost price = $986.4

Therefore, The money lost due to a hard time for the company is $986.4.

To get more about profit and loss visit:

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If the volume of the box is 123in what is the height of the box

Answers

Area = 41 square inches
1. Multiply the are by the height:
41 x 7 = 287 cubic inches.
2. Divide volume by area:
123 / 41 = 3 inches

prove, using algebra, that the difference between the squares of consecutive odd numbers is always a multiple of 8.
lets 2n+1 be the smaller of the two odd numbers

Answers

Answer:

which of the variable in equation square of 9 is

Step-by-step explanation:

solution of the equation of 6 equals

why is that

Is (3, -5) a solution to this system of equations?

y = -1/3x - 4
y = -2x + 1

Yes or No

Answers

Answer: Yes

Step-by-step explanation:

Solve the system of equations by setting the two substituting the first y equation in for the second and getting: -1/3x - 4 = -2x + 1.

Now, add 2x to the left side to cancel it from the right and add 4 to the right side to cancel if from the left to get: (5/3)x = 5

Solve for x to get 3.

Plug x into the second equation (could be either equation though) and get: y = -2(3) = 1 = -5.

Thus, (3,-5) is a solution :)

Yess,
Solve for the system of equations

Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31


movies. If they decide to randomly choose three movies, what is the probability that the three they choose will consist of each of their favorite movies? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answers

— How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know ...

The probability that the three they choose will consist of each of their favorite movies is 1/29791.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31 movies.

Total number of outcomes = 31

They choose three movies out of 31

Let us assume that  Finn, Michael, and Chris have 1 favorite movie out of 31.

The probability that the three they choose will consist of each of their favorite movies:

= (1/31)(1/31)(1/31)

= 1/29791

Thus, the probability that the three they choose will consist of each of their favorite movies is 1/29791.

Learn more about the probability here:

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Step by step please

Answers

AC^2 =AB^2+BC^
BC^2=AC^2 - AB^2=37^2-35^2
BC^2=1369-1225 =144 = 12^2
BC= 12in
Area of figure = area of a square + area of triangle
Hence the area would be 996in^2
(Brainiest pls took me like 5 minutes solve) Have a great day/night.

A news report says that 28%
28
%
of high school students pack their lunch.
Your high school has 600
600
students.

How many students in your high school would you expect to pack their lunch?

Answers

you would do 600 x 28% then subtract what that equals from 600 to get the answer.
600 x 28% = 168
600-168= 432
you would guess that 432 students pack don’t pack lunch and 168 pack lunch

Write a word problem to match the shaded fraction bar 3/4

Answers

Answer:

shaded part=3/4

unshaded part=1/4

Total=1

Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81

Answers

Answer:

N = 9

Step-by-step explanation:

N^2 = 81

NxN = 81

N = 9 because 81/9 = 9 and if you don't trust me use a calculator

solve this system of equation using substitution, show your work (ANSWER QUICK PLEASE)

Answers

1: 5x and 18y or (5,18)
2: -2x+2y=-4
-2(0)+2y=-4
2y=-4
y=-2

2B)
-2x+2(0)=-4
-2x=-4
x=2

Answer:

One above me is correct 100% :)

Step-by-step explanation:

ANSWER THE QUESTION FOR BRAINLIST !!

In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .

Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010

Enter your answer by filling in the boxes

f(x) = ______ • (_______) ^x

Answers

Answer:

[tex]f(x) = 175000*1.025^x[/tex]

Step-by-step explanation:

Exponential function has the form

[tex]f(x) = ab^x[/tex]

Where a- initial value, b- growth rate

Find the growth rate b

[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]

The function is

[tex]f(x) = 175000*1.025^x[/tex]

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

a is the initial valueb is the growthx is the independent variabley is the dependent variable

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

[tex]a \implies 175000[/tex]

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

Write 9/20 as a decimal number

Answers

Answer: 0.45

........................

0.45

Why?
Because it’s 9/20 as a decimal number

Hope this helped!!!

if 192 students are in 4 buses how many students are in each bus?

Answers

Answer:

48

Step-by-step explanation:

192/4=48

Hope this helps!!!

Answer:

48 students

Step-by-step explanation:

Given that:

192 student are in 4 buses

To Find:

How many students are in each bus

Solution:
To find how many students are in each bus we have to divide. 192 by 4.

192 ÷ 4  which given us 48.

Therefore, there are 48 students in each bus.

~lenvy~

For a given input value n, the function h outputs a value mmm to satisfy the following equation.
m+1=-2(n+6)

Write a formula for h(n) in terms of n.

Answers

Considering the equation given, the formula for h(n) in terms of n is given by:

h(n) = -2n - 13

What is the equation?


The equation given is:

m + 1 = -2(n + 6).

We want to write m as a function of n, hence:

m + 1 = -2(n + 6).

m = -2n - 12 - 1

m = -2n - 13

Hence:

h(n) = -2n - 13

More can be learned about equations at https://brainly.com/question/25537936

A dessert cart in a restaurant has 12 possible dessert options. In how many ways could your family of 4 select their desserts?

Answers

Using the combination formula, it is found that your family could choose the desserts in 495 ways.

The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, 4 desserts are chosen from a set of 12, hence:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

Your family could choose the desserts in 495 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

does this make any sense to anyone and if so..... help

Answers

Answer:

224

Step-by-step explanation:

56 * 4 =224

Answer:

224

Step-by-step explanation:

the pattern is 4 times the space the number is in

ex: 4,8,12,16 because 16 is the 4th number and 4x4= 16

hope this helps!

Have a wonderful day :D

Find the value of x.
log x 8 = 0.5
ОА.
4.
OB.
16
O C.
32
OD.
64

Answers

Answer:

The answer to your question is D 64

Step-by-step explanation:

hope this helps you have a wonderful day.

Select the correct answer.

Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). Which could be the graph of function f?

Answers

Answer:

A.

Step-by-step explanation:

The interval values given are the values of x.

We see that on Graph A, to the left of  x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).

Answer:

A :)

Step-by-step explanation:

I just tokk the test!

From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?

Answers

Answer:

The answer is -28C

Step-by-step explanation:

dont forget to smile today:)

How many solutions does each polynomial have?

Answers

Answer:

Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.

Step-by-step explanation:

Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality

Answers

Answer:

[tex]-\frac{62}{9}[/tex]

Step-by-step explanation:

The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.

Solving the Equation

First, rewrite the equation

[tex]-18x - 17 = 107[/tex]

Next, apply the addition property of equality and add 17 to both sides

[tex]-18x=124[/tex]

Finally, apply the division property of equality and divide both sides by -18

[tex]x=\frac{124}{-18}[/tex]

Then, simplify for the final answer (divide numerator and denominator by 2)

[tex]x=-\frac{62}{9}[/tex]
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