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

Solve y for 4(3y - 1) - 5y - 6 = 18

Answers

Answer:

y=4

Step-by-step explanation:

Calculate the area of the shaded part to 1dp​

Answers

Answer:

To find the area of the shaded region

A = Area of circle - Area of square

12cm is the diagonal of the square and diameter of the circle.

To find the side of the square,

d = √2 * s

12cm = 2 * s

s = 8.49cm

Area of square = L²

As = (8.49)²

As = 72.1cm²

Area of circle = πr²

r = 6cm

Ac = (π*36)cm²

Ac = 113.1cm²

A = Ac - As

A = 113.1cm² - 72.1cm²

A = 41cm²

The area of the shaded region is 41cm².

Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.

Step-by-step explanation: Note the caveat above.

Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2

Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12

x^2 = 6 cm^2 (the area of the square)

The two possible answers:

1) Shaded portion is the square: 6 cm^2

2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2

1. e(x) = 3 x -3, Find e(-6)

Answers

Answer:

e(-6) = -21

Step-by-step explanation:

Plug -6 into the equation and simplify.

3(-6) - 3

-18 - 3

-21

what is the answer?
8^-3​

Answers

Answer:

-72

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a^{-m}=\dfrac{1}{a^{m}}\\\\8^{-3}=\dfrac{1}{8^{3}}=\dfrac{1}{8*8*8}=\dfrac{1}{512}[/tex]

y = 2/5x -1/2 + y = -1/3x + 2/3 combine like terms​

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Have a nice rest of your day

#Nova

Janice is considering two restaurants for a party. The first restaurant charges $15 per person plus a flat rate of $175 to reserve a party room. The second restaurant charges $9 per person plus a flat rate of $329. Select an equation that shows the total charge from the two restaurants is the same. Let x be the number of people.

Answers

Answer:

The answer is 15x + 175 = 9x + 329.

Step-by-step explanation:

Hope this helps!

Which of these tables represents a function??

Answers

Answer:

The first table

Step-by-step explanation:

You have to make sure that x is unique throughout.

First Table: the inputs are 2, 4, 6, 7

each input value is different or unique

Second Table: input values are 3, 5, 3, 5

three and five repeat themselves, so there is not a function

Third Table: input values are -2, 0, 1, -2

negative 2 repeats itself so it is not unique

Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x).

x2 − 8x − 33
x2 − 8x + 14
x2 + 8x + 14
x2 + 8x − 33

Answers

Multiply them
(x-3)(x+11)
x^2 + 11x - 3x - 33
x^2 + 8x - 33
Solution: D

Answer:

D) x^2 + 8x - 33

Step-by-step explanation:

I took the quiz and got a 100%

Help me please! Two parallel lines are cut by a transversal as shown below

Answers

Answer

Step-by-step explanation:

So since m<6 = 62, we can tell that m<2 is also 62. since the angles add up to 180, 180-62=118. so m<1 = 118. m<4 = 62.

Yes it is because I just did it

Show why 5/6 is not proportional to 10/15.

Answers

Step-by-step explanation:5 times 2=10 but 6 times 2=12 not 15 so 5/6 is proportional to 10/12 not 10/15

If c-d=7 and c=3-8i what is d
a) -4+8i
b)-4-8i
c)4+8i
d)4-8i

Answers

Answer:

Step-by-step explanation:

c - d = 7

c = 3 - 8i            Substitute into the top equation

3 - 8i - d = 7      Subtract 3 from both sides

- 8i - d = 7 - 3    Combine

-8i - d =4            Add 8i to both sides

-d = 4 + 8i           Multiply through by -1

-1*-d = -4 - 8i

d = - 4 - 8i

Looks like B is the answer.

Please help this is algebra one

Answers

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

Old solve
(x ÷ 5)(x÷5)(x÷5)

Answers

Answer:

1/125(x^3)

Step-by-step explanation:

Let's simplify this expression.

[tex]\frac{x}{5} * \frac{x}{5} * \frac{x}{5}[/tex] [tex]\frac{xxx}{5*5*5}[/tex] [tex]\frac{x^3}{5*5*5}[/tex] [tex]\frac{x^3}{125}[/tex] [tex]\frac{1}{125}x^3[/tex]

Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].

simply the following expression

Answers

Answer:

C.

x^8 / y^28 z^20

Step-by-step explanation:

Answer: c

Step-by-step explanation:

= [tex](\frac{y^{7} z^{5} }{x^{2} } )^{-4}[/tex]

[tex]= (\frac{x^{2} }{y^{7} z^{5} } )^{4}[/tex]

[tex]= \frac{x^{8} }{y^{28} z^{20} }[/tex]

please give me a brainliest answer

what is the answer ?????????​

Answers

Answer:10

Step-by-step explanation: dd

Find the missing exponent. 7? x (75)4 = 734 Place only the missing exponnt value

Х

Answers

Answer:14

Step-by-step explanation:took the test

suppose that 11 inches of wire costs 55 cents how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches of wire costs 25 cents.

Step-by-step explanation:

To answer this question, we want to find the unit price per inch of wire. Therefore, we need to divide the cost of the 11 inches (55) by the length of the wire (11):

55 / 11 = 5

So, 1 inch of wire costs 5 cents.

Now, to see how many inches can be bought with 25 cents, multiply 5 times both the 1 inch and 5 cents, which are the unit price to get:

5 inches of wire costs 25 cents.

Hope this helps :)

5 inches of wire cost 25 cents!

Sketch the linear function f(x) = 1/4 (3x + 2) − 4x. Select the TRUE key feature of the graph.
A) y-intercept (0, 1/2 )
B) x-intercept ( 1/4 , 0)
C) x-intercept ( 1/13 , 0)
D) y-intercept (0, − 1/2 )

Answers

Answer:

My answer is A. and I hope this'll help

Sixty tickets at $70 each cost

Answers

Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$

Eight chocolate bars have 96 total squares. How many squares are there in each chocolate bar?

Answers

Answer: 12.

Step-by-step explanation: 96 divided by 8 is 12.

Answer: 12

Step-by-step explanation:

If there are 96 square and 8 chocolate bars, then we:

96 divided by 8 = 12

Charlie deposited $115 in a savings account. Each week thereafter he deposits $35 into the account. How much total money has Charlie deposited after 30 weeks?

Answers

Answer:

$1165

Step-by-step explanation:

30x35 = 1050

1050+115=1165

Equation: 115+35x

Plug 30 in for x
115+35(30)
115 + 1050
= $1165

Find 6.8x1.9 using partial products. Draw an area model to show the partial
products.

Answers

Answer: i do not now this one

Step-by-step explanation:

Clyde bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. how
much does the steak cost?

Answers

six dollars and 30 cents

What are the values of v and w ?

Answers

Answer:

V = 72 & W = 72

Step-by-step explanation:

All angles of a triangle will be equivalent to 180 degrees.

We start by subtracting first.

180 - 36 = 144

Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.

The last step is to divide.

144 / 2 = 72

V = 72 & W = 72

Find the slope of the line through each pair of point

Answers

Answer:

what are the pair of points?

1 4 cm 4 cm 5 cm 3 cm Perimeter: Area:​

Answers

Answer:

Step-by-step explanation:

840

Name the polynomial by degree and number of terms.

-6b^2- 6b - 4

a) constant monomial

b) quadratic monomial

c) quadratic trinomial

d) cubic trinomial

Answers

Answer:

c

Step-by-step explanation:

the polynomial is formed by 3 monomials and the incognit is quadratic

Please help me! The answer has to be in this form (____,___)
IF U CAN PLEASE SHOW ME WHERE THE LINE MEET ON THE GRAPH

Answers

Answer: (2, 4)

Step-by-step explanation:

This is in y=mx+b form

b is the y intercept so the point will be (0, b) for both equations

the m represents the slope to find the x intercept substitute y as 0

Plotting the graph the lines would meet at points (2, 4).

Answer:

Step-by-step explanation:

does anyone know how to do this ​

Answers

Answer:

x = 2 and y =

Step-by-step explanation:

y = 2x - 1

y = -x + 5

2x - 1 = -x + 5

2x + x = 5 + 1

3x = 6

x = 6/3

x = 2

y = 2(3)-1

y = 5

which value of n makes the value of the expression 4n + 3 a composite number

Answers

Answer:

3

Step-by-step explanation:

Given expression :-

4n + 3

It will be composite if it will has more than 2 factors ( other than 1 and itself )

If n = 1 :-

4*1 + 3 4+ 3 7 ( prime )

If n = 2 :-

4*2 + 3 8 + 3 11 ( prime )

If n = 3 :-

4*3+312+3 15 ( composite )

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