factorise the following, with steps​

Factorise The Following, With Steps

Answers

Answer 1

Answer:

Step-by-step explanation:

1) Sum = - 9

Product = -36

Factors = -12 , 3     {-12 + 3 = -9  & -12*3 = -36}

3a²  - 9a - 12 = 3a² + 3a - 12a - 12

                    =3a(a + 1) - 12(a + 1)

                    = (a + 1) (3a - 12)

2) 4a² + 38a - 20 = 4a² + 40a - 2a  - 20

                            =4a(a + 10) - 2(a + 10)

                            =(a + 10)(4a - 2)

3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9

                          = 11a(a + 3) - 3(a + 3)

                          =(a + 3)(11a - 3)


Related Questions

I need help understanding how to do this. I can understand the basic idea, I just don't know how to work with letters very well.

Answers

Answer:

(etr)^3 , 70f^6g^2h

Step-by-step explanation:

e^2r^2t^3

e^3r^3t^2

LCM=e^3r^3t^3

(etr)^3

10f^2gh

35f^3g^2

LCM= 70f^3g^2h

What number is halfway between eight and nine

Answers

8.5 is between nine and eight
Example like (1, 1.5, 2, 2.5, 3, 3.5) etc

the achievement first family handbook has 235 Pages Ms. Lieberman and print 450 copies of the document for the Middle School Scholars on Monday and 193 copies on Tuesday how many pages were printed in all

Answers

Answer:

151,105 pages

Step-by-step explanation:

(450 + 193) copies * 235 pages / copy = 643 copies * 235 pages = 151,105 pages

(Factorials)

Solve 5!

_help please_

Answers

Answer:

5*4*3*2*1= 120

you multiply each number to it's previous one till you reach 1

20x+75=35x+30 help
Is due tomorrow

Answers

Answer:

[tex]x[/tex] = [tex]3[/tex]

Step-by-step explanation:

Use an Algebra Calculator

answer is x=3 , formula is in the attachment

Can y’all please help?

Answers

Answer:

50

Step-by-step explanation:

5x-6=64

x=14

64-14=50

M<2 = 4x +6
What is the value of X?​

Answers

Answer:

Step-by-step explanation: 10 but thanks green guy

Answer:

x = 10

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles, then the 2 base angles are congruent, both 67°

The sum of the 3 angles is 180° , that is

4x + 6 + 67 + 67 = 180

4x + 140 = 180 ( subtract 140 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

plz help asap
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not?

Answers

Answer:

5x + 2x result values are 1 more then 7x - 1 result values

there are no values that will make the 2 expressions equal....

because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one

Step-by-step explanation:

5x + 2x.....combine like terms..... = 7x

5x + 2x....subbing in 1                               7x - 1....subbing in 1

5(1) + 2(1) = 5 + 2 = 7                               7(1) - 1 = 7 - 1 = 6

5x + 2x...subbing in 2                                 7x - 1...subbing in 2

5(2) + 2(2) = 10 + 4 = 14                            7(2) - 1 = 14 - 1 = 13

5x + 2x...subbing in 3                                 7x - 1...subbing in 3

5(3) + 2(3) = 15 + 6 = 21                            7(3) - 1 = 21 - 1 = 20

5x + 2x...subbing in 4                                 7x - 1....subbing in 4

5(4) + 2(4) = 20 + 8 = 28                            7(4) - 1 = 28 - 1 = 27

5x + 2x...subbing in 5                                 7x - 1...subbing in 5

5(5) + 2(5) = 25 + 10 = 35                          7(5) - 1 = 35 - 1 = 34

Answer:

5x+2x= 7x....

Step-by-step explanation:

There is no value that would make them equal.  If u subsitute x by 1, 2, 3 you get 7, 14, 21. When u substitute for 7x-1, all the values are 1 less than 7, 14, 21.

HELP ME ASAP!!!!!!!!!!

Answers

Answer: x(2) -9

I’m pretty sure that it

Answer:

2x - 9

Step-by-step explanation:

let the number be x then multiplying by 2 is 2x , so

2x - 9 ← algebraic expression

True or False
a = 6 is a solution to the inequality below:

a/2 < 4

( The < is underlined)

Answers

The answer is true.

6/2 = 3.

3 < 4 is a true statement.

Mel bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenari

Answers

The equation that models the situation is: 89.22 = $10.95p  +  $12.57.

The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.

Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p

The total amount spent on sodas is $12.57.

The total amount spent is $89.22.

The equation that models the situation is: 89.22 = $10.95p  +  $12.57.

A similar question was answered here: https://brainly.com/question/20063434?referrer=searchResults

) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,

Answers

Answer:

I believe the answer is C

Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50

Answers

Answer:

c. 5x>_50

Step-by-step explanation:

Each hat earns her $5.

x number of hats will earn her 5x.

At least $50 means $50 or more, so it means the same as greater than of equal to 50.

5x >_ 50

1,200 plus what equals what??

Answers

Answer:

1,200+300=1,500

Step-by-step explanation:

Answer:

1,200+1,200=2,400

Step-by-step explanation:

This rectangular prism was built with cubes that each have a volume of one cubic centimeter.

What is the volume of the rectangular prism?

Answers

Answer:

The volume of this rectangular prism is 60.

Step-by-step explanation:

V = L*W*H

( For a rectangular prism )

4 * 5 * 3

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

[tex]\sf Helppp! \:29=-8x-3[/tex]

Answers

Answer:

29+8x-3=0

Step-by-step explanation:

esto es lo que se esque no se si lo has escrito bien

Answer:

x=-4

Step-by-step explanation:

Switch sides:

−8x−3=29

Add 3 to both sides:

−8x−3+3=29+3

Simplify:

−8x=32

Divide both sides by −8:

−8x/−8 = 32/−8

Simplify again for the result:

x=−4

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form​

Answers

Answer:

Step-by-step explanation:

By Pythagoras:

d^2 = (3.5)^2 + (4.5)^2

d^2 = 12.25 + 20.25 = 32.5

d = √32.5

1........... 5x (3x +2)
2..........(-7ab)(2a^2bc) (4bc^2)
3.............3x^2(X-5)-X(X^2+3X)
4............5x^2 +4y^2-(2x^2+6y^2)

Answers

You do 3832083082x 32u393829832983x to get this 5,418

alr so imma need this answer rn

Answers

The answer should be:

x = 5

So the answer is basically 5

derivation of trigonometric identities (all 3).

Answers

Answer:

Sine, Cosine and Tangent.

Step-by-step explanation:

These are the 3 basic trigonometric identities.

(2x)/(x-1)
Find the derivative using quotient rule

Answers

Answer:

Step-by-step explanation:

see pic below for quotient rule

[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]

How to draw 0.15+0.36 using a quick picture

Answers

Answer:

heres my photo + answer

Step-by-step explanation:

0.15

+ 0.36

____

0.15
0.36
+——
0.51
There we go :)

3х – 8y = — 16
=
M
So yeah I kinda need help

Answers

Answer:

3x-8y-16  = 0

Step-by-step explanation:

guys pls help me!!!!!!!

Answers

Answer:

36°

Step-by-step explanation:

it's the same as the given number.

lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.

have a lovely day <3

Sixty tickets at $50 each cost

Answers

Answer:

$3000

Step-by-step explanation:

1 ticket = $50

Therefore, 6 ticket = 6x50

=$3000

[tex]A(4,5) and B (3,4)\\[/tex]Find distance betweentwo points A(4,5) and B (3,4)

Answers

Answer:

2

Step-by-step explanation:

given points are,

A = (4,5)

B = (3,4)

we know,

D = (x_2 - x_1)² + (y_2 - y_1)²

(3-4)² + (4-5)²

(-1)² + (-1)²

1 + 1

2

therefore, distance between A and B is 2.

hope this answer helps you dear...take care and may u have a great day ahead!

Is -92.41 an integer

Answers

Answer:

No

Step-by-step explanation:

Because it is a decimal, it can't be an integer. Integers are whole numbers and can be positive or negative.

Hope this helps!

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.

The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 1,264(1.09)x

Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:

r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13


Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)

Answers

Exponential functions can either represent growth or decay.

Part A:

The function is given as:

[tex]f(x) = 1264(1.09)^x[/tex]

The above function is an exponential function.

An exponential function is represented as:

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

Where b represents the rate.

When b > 1, then the function is increasing

By comparison:

[tex]b = 1.09[/tex]

1.09 is greater than 1

Hence, the amount of money in account A is increasing.

Part B:

Divide any two concurrent values on the table, to determine the rate of the table.

So, we have:

[tex]b = \frac{1512.50}{1375}[/tex]

[tex]b = 1.10[/tex]

By comparison:

1.10 is greater than 1.09 (the rate of account A).

Hence, account B records a greater percentage change in the amount of money

Read more about exponential functions at:

https://brainly.com/question/11464095

A. because b > 1, the function is increasing, so the amount of money in account A is increasing.

B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money

Can some one help me out and let me know what this is

Answers

You must divide by the coefficient (a number before a variable)

Hope this helps you! :)

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?

Answers

Answer:

$27.72

Step-by-step explanation:

The information that we have its

The cost gas its ​$3.60 per gallon

Irene​'s car had 5.3 gallons

Irene's car tank is 13 gallons

so now for the know, How much did Irene spend on gas?

First

The gas that its necessary for filled de tank its

13gallons-5.3gallons=7.7 gallons

The cost for 7.7 its

7.7g*$3.60/g= $27.72

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