Mathematics College

Factorise the following expression :​

Factorise The Following Expression :

Answers

Answer 1

Answer:

(i)(a - 2y) (3x - 4b)

(iii) (m - n)(m + 4)

Step-by-step explanation:

(i)

3ax - 6xy + 8by - 4ab

= 3x (a - 2y) - 4b (-2y + a)

= 3x (a - 2y) - 4b (a - 2y)

= (a - 2y) (3x - 4b)

(iii)

[tex] {m}^{2} - mn + 4m - 4n \\ \\ = m(m - n) + 4(m - n) \\ \\ = (m - n)(m + 4)[/tex]

Related Questions

The unit of ratio is expressed in
a) Metre
b) Gram

Answers

The unit of ratio is expressed as none. Ratio comprises of similar type of quantities so the units cancel out each other and thus there is no unit for a ratio. There is no unit for ratio. The numbers in the ratio will be of same unit - the unit can be meter or gram or litre or any such unit.

What is the measure of angle Q?
A. 27°
B. 33°
C. 40°
D. 120°

Answers

Answer:

27 degrees ( option A)

Step-by-step explanation:

It is the only option that is smaller than 33 degrees,  (which is because SRT ~ PQB) and it is dilated by a fraction

Answer:

q=33

Step-by-step explanation:

is the correct answer because we can see that r=q

Kate bought a house for 198,000 and then sold it for 230,000 when you’re later. What is the profit as a percentage?

Answers

Answer:

16.16%

Step-by-step explanation:

calculate the percent change

Paul organised an event for a charity.

Each ticket for the event cost £19.95
Paul sold 395 tickets.

Paul paid costs of £6000
He gave all money left to the charity

Work out the an estimate for the amount of money Paul gave to the charity?

Answers

Answer:

The answer is 2000. Hope this helps! If I could have brainliest I'm trying to rank up :)

Step-by-step explanation:

This question asks us to estimate the amount of money Paul gave to Charity.  

To work out an estimate we must start by rounding the numbers we are given to 1 significant figure and the

Starting with 19.95 --> this rounds to 20 and 395 rounds to 400.  

Then we have to multiply these numbers together:

20 x 400 = 8000

3. Finally subtract 6000 from our estimate

8000-6000=2000

The answer is 2000.

Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of elimination​

Answers

Step-by-step explanation:

first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below

as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out

so , multiply 3 with the whole of equation 1

3( 2x + y = -4 )

= 6x + 3y = -12

( keep in mind the sign of the number)

5x -3 y = 1

now ,

we have

6x + 3y = -12

5x -3y = 1

as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )

so , once you add the like terms this is what you will get

6x + 5x +3y-3y -12+1

= 11x + 0 - 11

then you can simplify this further for x first

11x = 11

x = 11/11

x = 1

now we have the value of x let's simply further for y

let's take equation 2

5(1) - 3y =1

5 -3y = 1

5-1 = 3y

4 = 3y

4/3 = y

to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .

5x-3y = 1

( now let's place the values of x and y into the equation and see if our answer is 1 )

5 (1) - 3 (4/3)

= 5 - 4

= 1

it is correct

For the end-of-year party, Mt. Rose Middle School ordered a total of 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. How many pepperoni pizzas were ordered?

HELPPPPP PLSSSSSSSSSS

Answers

Answer:

24 Pepperoni pizza

Step-by-step explanation:

v = veggie

p = pepperoni

c = combo

v+p+c=112

p-8 = v

3p=c

substitute both values in equation above, thus,

p-8+p+3p = 112

5p-8=112

5p=120

p=24

Can someone answer this question if you know the answer.
Answer choices:
A. 1/20
B. 40%
C. 1/40
D.50%

Answers

Answer:

It's C

Step-by-step explanation:


Mark brought chocolate and vanilla cupcakes to school for his birthday
100 students decided to take a cupcake, and 80% of them picked vanilla.
How many people picked a vanilla cupcake?

Answers

Answer:

80 students decided to take a vanilla cupcake.

Step-by-step explanation:

100 * 0.80 = 80

Help me plzzzzzzzzzZzzzzzzzzzZ

Answers

Answer:

Option A is correct answer..

Pls sandhya se baat karado yaar ,

nhi to mai mar jaunga .

Pls sandhya baat karlo na yaar .

ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ

❥︎ ʏᴜɢᴀʟᵇᵒˢˢ!

Answer:

its A

Step-by-step explanation:

3. A new restaurant in town is surveying residents to determine how much they typically pay for a meal out. Which of the following best describes a random sample? A. They go door-to-door in a nearby neighborhood. B. They randomly select 50 residents of a local nursing home. C. They call 200 randomly selected town residents. D. They ask patrons if the price was reasonable.

Answers

Answer:

C

Step-by-step explanation:

A is specific to a single neighborhood

B is specific to a single nursing home

D is specific to only patrons

When looking for a random sample, in this case - the town, you have to consider how to select based on the entire sample.

Can someone tell me what x equals!

Answers

Answer:

12

Step-by-step explanation:

hope u find this helpfull

Answer:

Step-by-step explanation:

x = 12

the triangle was made smaller (i forget what the term is)

it was made smaller by  [tex]1\frac{1}{3}[/tex]

to find that you divide 24 by its equivalent side on the other triangle which would be 18

24 / 18 =  [tex]1\frac{1}{3}[/tex]

to find what x is equal to you have to find the equivalent side on the other triangle. this would be 16. since the triangle with 16 is bigger the equation is:

16 / [tex]1\frac{1}{3}[/tex] = 12

so x = 12

What three consecutive even integers have a sum of 78

Answers

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

PLEASE ASAP I NEED HELP ON THIS PROBLEM

Answers

Answer: to be true  I don't understand this

Step-by-step explanation:

PLEASE HELP ASAP is this relationship linear, exponential, or neither?

Answers

Answer:

neither

gfhhhufkufjkg

I need these questions done. I'm lost. And all my points are gone pls help............................................................................

Answers

Answer:

Step-by-step explanation:

(x+1)(x+6)/(x+1) = x + 6

(x-19)(x+2)/(x+2)= x - 19

(x-8)(x-2)/(x-2)= x - 8

Answer:

x+6 x-19 x-8 from top to bottom

Step-by-step explanation:

Hope this helps give brainliest if you can

The first is 4 inches wide and 15 inches long. ​The second is 9 inches wide. ​ ​Find the length of the second rectangle. A 6.67 inches B 2.4 inches C 41 inches D 33.75 inches

Answers

Answer:

D - 33.75

Step-by-step explanation:

If the rectangles are similar, then you can use this cheat:

Width:

9/4 = 2.25

2.25 is the scale factor between the two rectangles.

Using the new-found scale factor, you can do this:

15 x 2.25 = 33.75

This means the length on the second rectangle is 33.75 inches long.

Hoping this helps you! :)

What is 4 1/4 - 1 7/8?

Answers

Answer:

[tex]4 \frac{1}{4} - 1 \frac{7}{8} = 2 \frac{3}{8} [/tex]



f(x) = 3x^4 + 19x^3 + 69x^2 + 99x + 26
a) Use the Rational Zeros Theorem to list all the possible rational zeros of f(x). List all possible zeros.
b) Use synthetic division and the possible rational zeros above to obtain the FIRST zero. What is the first zero you used? Show the steps used using synthetic division that you
used to arrive at the answer.
c) Use synthetic division and the possible rational zeros to obtain the SECOND zero. What was the second zero you used? Show the steps used using synthetic division that
you used to arrive at the answer.
d) Find the remaining zeros by using factoring, the square root property, or the
quadratic formula.
e) List all the zeros
Show all the work

Answers

Answer:

sorry

Step-by-step explanation:

I NEED AN ASNWER ASAP!!!!

Which inequality is represented by this graph?
x greater-than negative 53
x less-than-or-equal-to negative 53
x less-than negative 53
x greater-than-or-equal-to negative 53

Answers

X more than it equal to negative 53

Answer:

X is greater than negative 53

what is the standard form of y= 2/3x + 6

Answers

Answer: 2x/3 +6

Step-by-step explanation: You have to combine 2/3 and x to get 2x/3+6

Standard form is:
-2x+3y=18
Explanation:
y=2/3x+6 multiply both side by 3 to get rid of fraction
3y=2x+18 flip
2x+18=3y
2x-3y= -18 multiply both side by -1
-2x+3y=18


Question 4 ( i-Ready )
The system of equations 2y = 14 - 2x and y = -x + 7 is
graphed. What is the solution to the system of equations?
A. (0,-7)
B. No solution
C. (0,0)
B. Infinitely many solutions

Answers

Answer:

Step-by-step explanation:

Note that the two equations are equivalent.

2y = 14-2x can be rearranged to y = -x+7, which is the same as the second equation. What you're looking is one line on top of the other.

Every shared point is a solution. Since there are infinitely many points on a line, and these lines share every point, there are infinitely many solutions.

For these questions find the probability of drawing the given cards at random from a standard 52-card deck under each condition: (a) with replacement and (b) without replacement. Write your answers as fractions in simplest form.


2) A club, then a spade

a. With replacement


b. Without replacement


3) An ace, then a queen

a. With replacement


b. Without replacement

Answers

Answer:

2

a) 6.37%

b) 6.25%

3

a) 0.60 %

b) 0.59 %

Step-by-step explanation:

2 )

a) With replacement

Probability of extracting a club is 13/52

Probability of extracting a spade is 13/51

13/52 * 13/51

= 6.37 %

b) Without replacement

13/52 * 13/52

= 6.25 %

3) With replacement

Probability of extracting a ace is 4/52

Probability of extracting a queen is 4/51

4/52 * 4/51

= 0.60 %

b) Without replacement

4/52 * 4/52

= 0.59 %

Solve 4 5/6 + 9 5/9 for the answer

Answers

Answer:

259 /18 = 14  7/18  ≈14.389

Step-by-step explanation:

=14.999 I believe ....

Please help me.......

Answers

14



28/2=14

It just half of 28

A photographer rented a booth at an art fair for
$630. The photographer sold each photograph
for $45 and made a total of $1,980 after
paying for the booth. How many photographs
did the photographer sell at the fair?

Answers

Answer:

58

Step-by-step explanation:

1980+630 then divide by 45

If f(x) = 2(3x) + 1, what is the value of f(2)?

Answers

f(2)=2(3*2)+1
f(2)=2(6)+1
=13
answer is 13

someone pls help me!!

Answers

Answer:

[tex] r = \frac{12\sin 20\degree}{ \sin 35\degree } [/tex]

Step-by-step explanation:

By sine rule

[tex] \frac{r}{ \sin \angle R } = \frac{p}{ \sin \angle P} \\ \\ \frac{r}{ \sin 20\degree } = \frac{12}{ \sin 35\degree } \\ \\ r = \frac{12\sin 20\degree}{ \sin 35\degree } [/tex]


ANSWER QUICKLY FOR A BRAINLIEST !! AND LOTS OF POINTS

Answers

Answer: 124 ft after 0.5 seconds

Step-by-step explanation:

Find h(0.5)

h(0.5) = -16(0.5)^2 + 64(0.5) + 96

-16(0.25) + 64(0.5) + 96

-4 + 32 + 96

124

Answer:

thanks for points

Step-by-step explanation:

which of the following is an identity?​

Answers

Answer:

B

Step-by-step explanation:

Tanx=sinx/cosx

Cotx=cosx/sinx

Bailey works at the donut shop and saves 10% of each paycheck. She put $12.50 into her savings account out of her most recent paycheck. What was the amount of
Bailey's most recent paycheck?
$1250.00

Answers

Answer:

125$

Step-by-step explanation:

1250/10=125

Answer:

$125

Step-by-step explanation:

$1250 ÷ 10 = $125

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