Factor each polynomial. 20 points

5a^2b^2 + 10ab +25a
8m^2n^2 - 24mn^3 +16mn
9xz^3 + 18yz^2 + 24z^2
16x^6y + 16x^2y^4 + 32x^3y^2

Answers

Answer 1

So, here we are to factor the polynomials :

[tex]\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\[/tex]

[tex] \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\[/tex]

[tex]\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\[/tex]

[tex] \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\[/tex]

[tex]\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\[/tex]

[tex]\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\[/tex]

[tex]\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\[/tex]

[tex] \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression.

Related Questions

$6.62 for 2 pounds of tomato’s

Answers

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red marble.

What is the probability of not selecting a white marble?

A. 2/3

B. 3/4

C. 4/5

D. 1/5

Please explain how you got the answer so I can learn

Any links and you will be reported please help

Answers

Total number of marbles:

[tex]6 + 5 + 3 + 1 = 15 \: marbles[/tex]

Total number of possibilities excluding white marbles:

[tex]6 + 5 + 1 = 12 \: marbles[/tex]

The probability of an event occuring is given by:

[tex]p(a) = \frac{number \: of \: possibilities}{total \: number \: of \: possibilities} [/tex]

[tex]p(a) = \frac{12}{15} = \frac{4}{5} [/tex]

Letter C

Answer:

The total number of marbles in the bag is:

6 blue marbles + 5 yellow marbles + 3 white marbles + 1 red marble = 15 marbles

The probability of not selecting a white marble can be calculated as follows:

Number of non-white marbles / Total number of marbles

There are a total of 15 - 3 = 12 non-white marbles in the bag (6 blue marbles + 5 yellow marbles + 1 red marble).

So the probability of not selecting a white marble is:

12 / 15 = 4/5

Therefore, the answer is C) 4/5.

Step-by-step explanation:

How to solve (3x)^0 for applying the exponent rule for zero exponents

Answers

Any 0 power or exponent is equals to 1
So the answer is 1

Harry takes medicine every day. If the dosage is 0.2 of a gram per day, what is the total amount of medicine he consumes in a week?

Answers

Answer:

1.4 grams of medison for thr whole week combinded

Answer:

1.4 g

Step-by-step explanation:

0.2 gram per day x 7 days = 1.4 g total consumed in a week

9(3+x)=4(3+x)
Answer with steps

Answers

Answer:

x = 2.5

Step-by-step explanation:

Expand the brackets[tex]27+9x=12+3x[/tex]Subtract 3x from both sides[tex]27+6x=12[/tex]Subtract 27 from both sides[tex]6x=-15[/tex]Divide both sides by 6[tex]x=2.5[/tex]

Answer:

x = -3

Step-by-step explanation:

9(3+x) = 4(3+x)

9(3+x) - 4(3+x) = 0

(9-4)(3+x) = 0

5(3+x) = 0

15+5x = 0

-15 = 5x

x = -3

What is the y-intercept of the line: 8x - 4y = 20

Answers

Answer:

The y-intercept is 5

Step-by-step explanation:

First Step is to set y by itself:

4y = -8x + 20

y = -2x + 5

Remember: y = mx + b and b is the y intercept

b = 5

8x - 4y = 20
4y = 8x + 20
y = 2x + 5
y intercept = +5


Find the volume, in cubic centimeters, of the rectangular prism pictured below.
3 cm
| 21 cm
2 cm
(Your answer must be entered as a mixed number with a simplified fraction)
HURRY

Answers

Answer:

Step-by-step explanation:

Formula

Use V = L*w* h

Givens

L = 3 cm

w = 2 1/2 cm

h = 2 1/2 cm

Solution

V = 3 * 2 1/2 * 2 1/2

Answer: V = 18 3/4 cm^3

The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9

Answers

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

What is the meaning of the simplest form?

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

To learn more about the simplest form visit:

https://brainly.com/question/29114

I need to put this equation into standard form help please!
-4.9t²+7.5t+1.8=21

Answers

This equation into standard form is about 20.5
Answer:

20.5 yeah :)

"HABANG BUHAY SONG"

Can someone help me solve this problem? 100-[5×(3+4)]​

Answers

solve the first bracket first (3+4)
so you have 100-[5x7]
then you do the next bracket [5x7]
so you have 100-35
100-35=65
:)

Answer:

65

Step-by-step explanation:

Use PEDMAS

P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;

A - Addition ;  S- subtraction.

First do the operation in the inner most parenthesis.

100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ]   {Now the outer parenthesis}

                             = 100 - 35

                             =  65

WILL GIVE BRAINLIESTTT, FIVE STARS, AND THANKS
can someone explain this to me and what the question means and is asking?

Answers

The x-intercepts represent when the ball is at height=0

In other words, it shows when the ball hits the ground.

Madden needs to choose an object for his math project that shows volume. He has a choice between a container for catching bugs and a poster from his favorite movie. Which item should Madden choose and why?

Answers

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

What is b if a=2x and c= 8x on a right triangle

Answers

B is 5.625

A=2x

C=8x

5.625x2(x)*8(x)=90

If I got this right pls give brainlest.

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What is the definition of Comparative Advantage? ​

Answers

Answer:

When one country has a commercial advantage over another country.

Step-by-step explanation:

(This is actually an AP Human Geography question). Ex: Florida grows oranges better than Maine due to Florida’s tropical climate. Florida has the comparative advantage.

line A is perpendicular to line B. if the slope of line A is -5/3, what is the slope of line B?

Answers

Answer: 3/5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

help me I need to make sure I got the correct answer.

Answers

Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?​

Answers

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?

Answers

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

Can this atrium be built in the rectangular plot of land?

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

Pls Pls help!! It's due soon!!

Answers

Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

Please I Need Help 20pts



To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $9.80 per hour. The math club wants to spend at most $117.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

0 < t ≤ 8  (in hours)

Up to (and including) 8 hours

Step-by-step explanation:

Let t = number of hours the room is rented

Given:

Reservation fee = $39Fee per hour = $9.80Maximum total cost = $117.40

Create an equation using the given information and solve for t:

⇒ 39 + 9.8t ≤ 117.4

Subtract 39 from both sides:

⇒ 9.8t ≤ 78.4

Divide both sides by 9.8

⇒ t ≤ 8

Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8  (in hours)

Answer:

8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.

Step-by-step explanation:

Givens

Maximum payment = 117.40Cost per hour = 9.80Fixed charge = 39 dollars

Formula

payment ≥ 39 + 9.80*t                where t is in hours.

Solution

117.40 ≥ 39 + 9.80*t                      Subtract 39 from both sides.

117.40 - 39 ≥9.80*t

78.40 ≥ 9.80*t                               Divide by 9.8

78.40/9.80 ≥ 9.80*t/9.80

8 ≥ t    

Answer t≥ 8

Umberto bought a car for 28,000 the car is depreciating ata rate of 9% per year what wil be the approximent value of the car after 5 years

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]

Latoya drove 585 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?

Answers

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

0.21 Divided by 7 I would like to know how to solve the equation

Answers

Answer:

0.03

Step-by-step explanation:

[tex] \frac{0.21}{7} [/tex]

==>

[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]

===>

[tex] \frac{21}{7} \times \frac{1}{100} [/tex]

==>

[tex]3 \times \frac{1}{100} [/tex]

==>

[tex] \frac{3}{100} [/tex]

==>

[tex]0.03[/tex]

Simplify ratio
1. 65:15
2. 56:45
3. 98:24
4. 380:56
5. 246:39
6. 98:112
7. 54:12
8. 87:15
9. 47:17
10. 90:117

Answers

1) 13:3

2) Same

3) 49:12

4) 95:14

5) 82:13

6) 7:8

7) 9:2

8) 29:5

9) Same

10) 10:13

Your basically dividing them by each other on a calculator

E.g. 90 ÷117 = 10/13

(10:13)

Or

20:30

20÷30=2/3

(2:3)

So, you could find the HCF of both numbers.

( highest factor of 20 & 30 is 10)

Hope this helps!

PLS HELPPP I HAVE NO IDEA WHAT THIS IS HELPPPPP

Answers

The volume of the whole object is 12.


If you split the object in two, the top rectangle and the bottom, then you can calculate both the volumes and add them together. The top part is 1*2*2=4, the bottom is 4*2*1=8, 8+4=12.

Ps. The star (*) is a multiplication symbol.

Determine the amplitude or period as requested.

Period of y = negative one-third sine 2 x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
Pi

Answers

C. One- third. Plato!!

The time period of the given function will be π.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

y = (-1/3)sin(2x)

We have -

y = (-1/3)sin(2x)

We can write -

ωx = 2x

Now -

ω = 2π/T

(2π/T)x = 2x

2π/T = 2

T = 2π/2

T = π

Therefore, the time period of the given function will be π.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Answers

Answer:

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

A 40-pound case of bananas costs $23.60. How much would a 70-pound case cost?

Answers

Answer:

$41.30

Step-by-step explanation:

First, divide 23.60 by 40

23.60/40 = 0.59

0.59 is the unit price, (or the worth of one {1} pound case)

0.59 * 70 = 41.3

$41.30 is the cost of a 70-pound case of bananas

hope this helps :)

PLEASE PLEAS HELP ME !!!
please help me I will give BRAINLY , 5 STARS and a THANKS

Answers

Answer:

2, 4, 8

Step-by-step explanation:

Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.

Hope this helps :)

Need help
read the question first

Answers

Answer:

  A. horizontal velocity is constant at 25 m/s in every interval

  B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s

Step-by-step explanation:

A.

Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.

__

B.

The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...

  t = 2 s, v = -19.6 m/s

  t = 3 s, v = -29.4 m/s

  t = 4 s, v = -39.2 m/s

  t = 5 s, v = -49.0 m/s

__

The sign is negative because the direction is downward. Positive is up.

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