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

Which of the following relations is not a function?
{(0,0),(1,0),(2,0)}
{(1,2),(3,-5),(-1,7)}
{(7,-1),(3,-2),(5,-2)}
{(-1,3)(4,2),(-1,5)}

Answers

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

PLEASE ANSWER THIS FAST!!!!!!!!!

If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

1. 300 square feet

Given g(x)=-x-2 find g(-3)

Answers

Answer:

g(-3)=1

Step-by-step explanation:

substitude x=-3

g(-3)=-(-3)-2

=1

Answer:

g(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

g(x) = -x - 2

Step 2: Evaluate

Substitute in x [Function g(x)]:                                                                         g(-3) = -(-3) - 2Simplify:                                                                                                             g(-3) = 3 - 2Subtract:                                                                                                            g(-3) = 1

High School
Please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please AND SHOW YOUR WORK

Answers

Answer:

Step-by-step explanation:

6) y = 2x² +  6x - 80

1) y = 2*x² + 2*3x - 2*40

  y = 2 [ x² + 3x - 40]

2) Sum = 3

Product = -40

Factors = (-5) ; 8   {-5 +8 = 3  ; (-5)*8 = -40}

y = 2 [ x² + 8x - 5x - 40]

      = 2 [ x(x + 8) -  5(x + 8) ]

      = 2 [ (x +8) (x - 5)]

y = 2(x +8)(x -5)

b) y = 0

2(x + 8)(X - 5) = 0

x + 8 = 0 ;  x - 5 = 0

x = -8 ;             x = 5

(-8) ; 5  are the zeros.

Translate the sentence into an equation.
Eight more than the quotient of a number and 2 is 6.
Use the variable b for the unknown number.

Answers

Step-by-step explanation:

8 + b/2 = 6

8 more than the quotient of is 6

a number and 2

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

The Wilsons have triplets and another child who is ten years old. The sum of the ages of their children is 37. How old are the triplets

Answers

Hope this helps have a nice day!!!!

9 years old because u do 37-10= 27 and 27/3= 9

Question 4 of 5 Which expression uses the associative property to make it easier to evaluate 6(5-3)? 1 3 O A. 6(} - ) O B. (6 - 3) O C. 3(6.3) O D. ( 63) SUBMIT
pls help, no links.​

Answers

I think it's a

Step-by-step explanation:

associative property means you can change what ever is in the ()

Answer:

Step-by-step explanation:

Can someone please tell me the answer

Answers

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

Solve the inequality. Graph the solution

Answers

Answer:

1.  y > -3/5 and y < 7/5        Direction to  graph 1 below.

2. r > 1 and r < 13/3              Direction to  graph 2 below

Step-by-step explanation:

|5y - 2| + 5 > 0

Case 1    Positive ||                                 Case 2  Negative ||

5y - 2 + 5 > 0                                       -(5y - 2) + 5 > 0

5y +3 > 0                                             -5y + 2 +5 > 0

5y > -3                                                  -5y + 7 > 0

y .> -3/5                                               -5y > -7

                                                             -y > -7/5

                                                             y < 7/5   y value negative, change sign

The graph 1: open circle at -3/5;  close circle at 7/5; shade between these two numbers.  

2.    |8-3r|< 5

       Case I                                           Case II

8 - 3r < 5                                                   -(8-3r) < 5

-3r < 5 - 8                                                   -8 + 3r < 5

-3r < -3                                                         3r < 5 + 8  

-r < -3/3                                                        3r <  13

r >1       r is negative, change                        r < 13/3

            the direction of the sign

Graph 2: Open circle at 1; open circle at 13/3;  shade between the two numbers.                    

   

LAM 1 Mod 6 Question 4b-s2.

Answers

Answer:

there is one line of symmetry if you look closely at the shape

What even is this? Did my teacher have a typo?
56\pi +67i\leq +23

Answers

Answer: it's not a typo its a formula

hope this helps

brainliest?

Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?

Answers

A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…

Answer: y = -3/4x - 15/2

Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b

-9 = -1.5 + x

x = -15/2

Which of the following equations listed below has a radius of 3?

O A) x^2 + y^2 + 12x - 20y+ 132 = 0
-
O B) x^2 + y^2 + 12x - 20y + 55 = 0
-
O C) x^2 + y^2 - 12x+ 20y + 127 = 0
-
O D) x^2 + y^2 – 20x – 16y + 155 = 0

Answers

Answer:

C.

Step-by-step explanation:

WE need to convert the given equations  into the standard form

(x - a)^2 + (y - b)^2 = r^2 where r = the radius.

x^2 + y^2 + 12x - 20y+ 132 = 0

(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132

(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4

giving a radius of 2

x^2 + y^2 + 12x - 20y + 55 = 0

will give a right hand side of -55 + 36 + 100 = 81  giving radius 9.

x^2 + y^2 - 12x+ 20y + 127 = 0

- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.

Answer:

The answer is C I hope this helps

Determine the value of x for which r || s. then find m<1 and m<2.

Answers

Answer:

thx you so much

have a nice day

is 3 a rational answer

Answers

Answer:

YES!!

Step-by-step explanation:

All rational numbers can be expressed as a fraction whose denominator is non-zero. Here, the given number, 3 can be expressed in fraction form as 3⁄1. Hence, it is a rational number.

Yup 3 is a rational number.
A rational number is any number that can be written as a fraction, like x over y.

Mr ko buys water bottles for a class trip he needs 20 water bottles and buys them in packs of 8 how many packs does mr ko need to buy

Answers

he would need to buy 3 packs

What is the sum of the 3rd
prime number and the 2nd
square number?

Answers

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

[tex]5.[/tex]

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]Silent Nature[/tex]

Help me with problem plz

Answers

Answer:

It is SAS (side - angle - side)

Step-by-step explanation:

Both BCA and DCE cross from side then the angle and lastly side.

Solve for a. -16-7a=5

Answers

Answer:

A = -3

Step-by-step explanation:

-16-7(-3)=5

express -121 in simplest form

Answers

Answer:

An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later

HELP PLEASE!!!! I REALLY NEED HELP

Answers

Answer:

CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.

Step-by-step explanation:

3 (1 - 3x) = 2 (- 4x +7)

Answers

Answer: x = -11

Step-by-step explanation:

Expand the expression (distributive property): 3 - 9x = -8x + 14

// subtract 14 from both sides = -11

// add 9x on both sides = x

Simplify: x = -11

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

1) Rearrange Terms

[tex]3(-3x+1)=2(-4x+7)[/tex]

2) Distribute

[tex]-9x+3=2(-4x+7)[/tex]

3) Distribute

[tex]-9x+3=-8x+14[/tex]

4) Subtract 3 from both sides of the equation

[tex]-9x+3-3=-8x+14-3[/tex]

5) Simplify

A. Subtract the numbers

[tex]-9x=-8x+14-3[/tex]

B. Subtract the numbers

[tex]-9x=-8x+11[/tex]

6) Add 8x to both sides of the equation

[tex]-9x+8x=-8x+11+8x[/tex]

7) Simplify

A. Combine like terms

[tex]-x=-8x+11+8x[/tex]

B. Combine like terms

[tex]-x=11[/tex]

8) Divide both sides of the equation by the same term

[tex]\frac{-x}{-1} =\frac{11}{-1}[/tex]

9) Simplify

A. Cancel terms that are in both the numerator and denominator

[tex]x=\frac{11}{-1}[/tex]

B. Divide the numbers

[tex]x=-11[/tex]

The sixth-grade classes have 28, 20, 30, and 25 students. What is the mean number of students in a class?

Answers

Answer:

25.75

Step-by-step explanation:

mean=sum of all numbers/number of numbers given

we have 4 numbers given 28,20,30 and 25

mean=28+20+30+25/4

mean=103/4

mean=25.75 :)

In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?

Answers

Given :

In a neutral atom that has an atomic mass of 22 and atomic number of 12.

To Find :-

The number of neutrons .

Solution :-

As we know that,

n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10

Hence the required answer is 10.

Answer:

10 neutrons

Step-by-step explanation:

no.of neutrons = atomic mass - Atomic number

no.of neutrons= 22-12

=10

Ski rental is $45 for 3 hours and $10 for each additional hour. You pay $75. How many additional hours did you pay

Answers

Answer:3

Step-by-step explanation:Its really easy?

solve for f. f-(-4)=-1

Answers

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?

Answers

Answer:

im think its  24

Step-by-step explanation:

18+6

Answer: The larger angle is about 156.84 degrees.

Explanation:
x = smaller angle
6x + 18 = larger angle

Supplementary angles add up to 180 degrees.

x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees

X can be substituted into the other expression to find the larger angle.

6(23.14) + 18
138.84 + 18
156.84 degrees

To check, add the two angles to make sure the sum is 180 degrees.

23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct

Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified

Answers

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39

Probability is the like likelihood or chance that an event will occur.

Probability = Expected outcome/Total  outcome

If Jorge has a standard deck of 52 cards, the total outcome is 6

If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13

For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4

The probability that he rolls a number greater than 2 is 4/6 = 2/3

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39

Learn more here: https://brainly.com/question/15739237

2(y−1)+6y = −10
Solve as Y=?

Answers

Answer:

0.111 hope that helps you

2(y - 1) + 6y = -10
2y - 2 + 6y = -10
8y - 2 = -10
8y = -8
y = -1
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