factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]

Answers

Answer 1

[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]

I hope I helped you^_^


Related Questions

Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?

Answers

$28 is the set price of admission that she has to pay when entering.

Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?

Answers

equation: $27.57 = $2.49 + 12x

if LN=9x-39, LM=47, and MN=3x+10 find MN

Answers

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Julio, Amari, and Henry take turns unloading a trailer holding 240 cases of soda. First, Julio unloads 15 of all the cases. Next, Amari unloads 117 of the remaining cases.

How many cases of soda are still left on the trailer for Henry to unload?

Answers

Answer:

answer: 55

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

240 - 15 = 225

225 - 117 = 8

The salary of A is 25% above that of B. How Much percent is B's salary below that of A?​

Answers

Answer: 20% lower then A's salary.

Step-by-step explanation:

find a rational number halfway in between the two numbers. 1/3 and 3/10

Answers

Answer:

39/60 is a rational number halfway b/w the given numbers.

Step-by-step explanation:

Add both of these numbers and then divide the result by 2.

(1/3+3/10)/2

=((30+9)/30)/2

=(39/30)*1/2

=39/60

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f • g and state its domain.

Answers

Answer:

30x + 21 is your best answer

x + 2x + 3x = 6 . Find x

Answers

Answer:

1

Step-by-step explanation:

x + 2x + 3x = 6

Add the like terms,

6x = 6

=> x = 6/6

=> x = 1

Step-by-step explanation:

x+2x+3x=6

x+5x=6

6x=6

x=6÷6

x=1

PLEASE HELP!!! I will give you brainliest!

Answers

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

What is six hundred five thousand, five hundred written in standard form

Answers

Answer:

the answer is in given bellow:

605500.

how can i solve that equation

Answers

Answer:

C and E

Step-by-step explanation:

[tex]3 \tan( \beta ) = 2. \: \: \: \: \tan( \beta ) = \frac{2}{3} [/tex]

[tex] \frac{h}{x} = \tan( \beta ) = \frac{2}{3} [/tex]

[tex]if \: \: h = 2 \: \: \: x = 3 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + x } [/tex]

C. [tex]t = \sqrt{13} [/tex] ✅

○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○

[tex] if \: \: \: h = 4 \: \: \: \: x = 6 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + {x}^{2} } [/tex]

E. [tex]t = 2 \sqrt{13} [/tex] ✅

solve the equation
4(2^m+1)-16^m=0​

Answers

m=2
That’s the answer

[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]

[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]

take 4common

[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]

[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]

[tex]\\ \rm\longmapsto 2^m=4^m[/tex]

[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]

[tex]\\ \rm\longmapsto 2^m=m[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]

3-7 + 2 2/6 * 4/5 =

what’s the answer?

Answers

3 - 7 + 2 2/6 * 4/5

-4 + 14/6 * 4/5

-4 + 7/3 * 4/5

-4 + 28/15

-32/15

Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9

Answers

Answer:

Explanation:

Find x:

f(x) = g(x)

x^2+2x-1 = 5x+3
x^2+2x-5x-1-3 = 0
x^2-3x-4 = 0
(x-4)(x+1) = 0
=> x-4 = 0 => x = 4
=> x+1 = 0 => x = -1

Find f(-4):

(-4)^2 + 2(-4) - 1
= 16 - 8 - 1
= 7

Find g(9):

5(9) + 3
= 45 + 3
= 48

what is the answer to this? please

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

least common multiple of 2 and 3?i forgot how to do this completly over the summer lol

Answers

Answer:

6

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 3: 3, 6, 9, 12, 15

Brainliest, please!

Solve each proportion

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

PLEASE ANSWER QUICK!

What does the 1/2 indicate in this equation?

y=1/2x+1


the y-intercept

the x-intercept

the slope

I don't know.

Answers

The 1/2 represents slope and the 1 represents the y intercept. Y=Mx+b where m= slope b= y intercept
y=1/2x+1

Compare to slope intercept form I e y=mx+b where m is slope and b is y intercept

here

m=1/2b=1

Option C

can someone explain to me how to do both of this question? tyvm

Answers

Answer: Hope this helps :)

Step-by-step explanation:

a) =Let the boys be x

girls = x-10

so

x + x - 10 = 50

or, 2x = 60

so, x = 30

boys = 30

girls = 30-10 = 20

Therefore, 30 boys participated in the activity.

b) = Let the zilong's stamp be x and miya's stamp be y

so

first

x+y = 40

y = 40-x

now

x - 10 = 2y

x-10 = 2(40-x)

x-10 = 80-2x

or, 3x = 90

so, x = 30

then y = 40-x

        y = 40-30 = 10

Therefore, Zilong had 30 stamps and Miya had 10 stamps before.

Solve the compound inequality. Graph the solution

Answers

Answer:  Choice B

Work Shown:

[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]

This says that x is between 1 and 4; it can equal 1, but it can't equal 4.

To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.

What is the percentage change from 99 to 35

Answers

Step-by-step explanation:

(35-99):99*100 =

(35:99-1)*100 =

35.353535353535-100 = -64.65

Percentage change from 99 to 35 is -64.64% .

Negative sign indicates that the number is decreased from the initial value.

Percentage change : When a number is increased or decreased from its original value is termed as percentage change.

Given, that number changes from 99 to 35.

Formula of percentage change  =  [tex]\frac{Final - Initial}{Initial}[/tex] × [tex]100[/tex]

Final number = 35

Initial number = 99

Substitute the values in the above formula,

Percentage change = [tex]\frac{35 - 99}{99} *100[/tex]

Percentage change = -0.6464 *100

Percentage change = -64.64%

Negative sign indicates that the number is decreased from the initial value.

Know more about percentage change,

https://brainly.com/question/14801224

#SPJ6

Does 9, 10 and 15 equal a right triangle

Answers

Answer:

By virtue of The pythagorean theorem,in a right triangle squares of the similar two sides equal the square of The largest side.Only 9,12 and 15 fit this rule.

Step-by-step explanation:

Hope it help you If you have any questions can ask in the comments

9 and 15 does 10 does not

Pleaseee help ill mark brainliest please include explanation too

Answers

Answer:

TO place the triangle ABC on EDF flip the triangle so the you get the mirror image of the triangle and then place it on top of the triangle EDF

hope this helps!

HELPP MEEEEEEEEEEE PLSSSSSSSSSSSSSSS

Answers

Answer:

hmm looks like you are over thinking it its just 20-8

Step-by-step explanation:

A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?
3x + 3y = - 30
2x + y = -17

a) It is not a solution to either equation.

b) It is one of many solutions to the system.

c) It is the only solution to the system.

d) It is a solution to the first but not the second equation.

Answers

Answer:

C) It is the only solution to the system.

Step-by-step explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True

The lines defined by the equations are not parallel and the point is a solution to both of them.
It must be the point of intersection so it is the only solution to the system

Determine whether each function is one-to-one, onto, both, or neither.

Answers

Answer:  Both

===================================================

Explanation:

We see that the function passes the horizontal line test. It is impossible to draw a single horizontal line and have that horizontal line cross the curve at multiple points. It's similar to the vertical line test.

Since the curve passes the horizontal line test, that makes it one-to-one. Any y value is paired with a unique x value, and vice versa.

The function is also onto because we can generate any y value output we want. The curve extends forever upward and downward. The range is the set of all real numbers.

Therefore, the function is both one-to-one and onto.

---------------------

Extra info:

The term "injective" is the same as "one-to-one" The term "surjective" is the same as "onto"The term "bijective" is a combination of injective and surjective at the same time

The dot plot below shows the numbers of years of experience of the teachers at City High School.
++
0 2 4 6 8 10 12 14 16 18 20
Years of Experience
Determine where a gap is present in the data set.
between 14 and 18 years
between 5 and 7 years
oooo
between 2 and 4 years
between 11 and 19 years
Submit
Reset

Answers

Answer: Between 14 and 18 years

Step-by-step explanation:

There are no dots in that area.

A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 12-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?

Answers

Answer:

he can cut 60 strips or ribbon

Step-by-step explanation:

The dressmaker has 720 inches of ribbon

from each roll of ribbon, he can make 6 12-inch pieces or ribbon

she has 10 rolls

so 6(strips per roll) x 10(amount of rolls) = 60 strips :)

There are 40 students in a summer cohort. Of those students, 20 are taking an accounting course, and 25 are taking a Spanish course. A total of eight students are taking both courses. How many students are not taking either course

Answers

Answer: 3

Explanation:

Students that takes course one or both courses.

20 + 25 = 45

Students that take course. Not including both courses students.

45 - 8 = 37

Students that doesn’t take course.

40 - 37 = 3

Please I need help Please I need help Please I need help Please I need help Please I need help

Answers

Answer:

please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf

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