Simplify and Factorise a(a + b - c) - bc

Answers

Answer 1
[tex] {2a}^{2} + ab - ac - bc[/tex]

Step-by-step explanation:

[tex] = a(a + ab - c) - bc[/tex]

[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]

[tex] = {2a}^{2} + ab - ac - bc[/tex]


Related Questions

The number of bacteria on a piece of toast triples every hour. If there is only one bacteria cell now, how many will there be in 24 hours?

Answers

Answer:

72

Step-by-step explanation:

3x24=72

What is 2 times as much as 3?

Answers

Answer:

6

Step-by-step explanation:

its basically 2 x 3 which = 6

hope this helped :D

Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?​

Answers

Answer:

f(x)=150+30x

150+30x=300

30x=150

x=5

after 5 years

\begin{aligned} &y=-8x -3 \\\\ &x+y=7 \end{aligned}


y=−8x−3
x+y=7

Answers

Answer:

just download conects

Step-by-step explanation:

5/6 = 10/ W+3 solve for W

Answers

Answer:

[tex]\huge\boxed{w=9}[/tex]

Step-by-step explanation:

In order to solve for w here, let's write the proportion.

[tex]\frac{5}{6} = \frac{10}{w+3}[/tex]

To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.

[tex]\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6[/tex] [tex]5(w+3) = 60[/tex] [tex]5w+15 = 60[/tex] [tex]5w = 45[/tex] [tex]w = 9[/tex]

Therefore, w=9.

Hope this helped!

please help asap!
Solve for X.

Answers

Answer:

I believe it's 12

Step-by-step explanation:

I hope this helps

how many times does 1/7 go into 3

Answers

Answer:

21

Step-by-step explanation:

1/7 x 7 = 1

x3 = 3

so 7x3 =21

If a circle has a diameter of 24 inches, which expression gives its area in
square inches?
O A. 12.
O B. 242.17
O C. 24. 1
O D. 122.77

Answers

Answer:

D. 12²•π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) = ½ of diameter = ½*24 = 12 inches

Plug in the value into the area

Area = π * (12)²

Area = π * 12²

Area = 12²•π

If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?

A.x+y=90
x−4y=6

B.x+y=90
4x−y=−6

C.x+y=90
6x−y=−4

D.x+y=90
4x−y=6

Answers

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The sum of x and y is 90.

And y is 6 more than four times x.

Let x and y be the numbers.

Then according to the first condition, we have

[tex]\rm x + y = 90[/tex]

Then according to the second condition, we have

[tex]\rm y = 4x + 6[/tex]

It can be written as

[tex]\rm 4x - y = -6[/tex]

Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].

Thus, the correct option is B.

More about the linear system link is given below.

https://brainly.com/question/20379472

combine like terms 5x - 7y + 2x + 10y + 4

Answers

Answer:

7x+3y+4

Step-by-step explanation:

How many solutions does 5x - 1 = 10x - 4 - 5x + 3 have?
A. Two solutions
B. One solution
C. Infinitely many solutions
D. No solutions

Answers

Answer:

c

Step-by-step explanation:

its c

The area of a rectangle is 84cm² and its breadth is 12 cm. Find its length and perimeter.​

Answers

Step-by-step explanation:

A=84

b=12

l=?(l)

A=l×b

84=l×12

84/12=l

7=l

perimeter=2(l×b)

=2(7×12)

=168

Find the value of x 6 5

Answers

Answer:

√66

Step-by-step explanation:

From the Euclidean theorem x^2 = 6 × 11

x^2 = 66

x = √66

A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to a SRS of 1600 voters in his state. His staff reports that 325 questionnaires have been returned, of these 241 respondents feel the Democratic Party is best qualified to lead the country over the next 10 years.
1. The sample is:__________
A. the voters in his state
B. the 325 questionnaires returned
C. the 241 voters who feel the Democratic Party is best qulified
D. the 1600 voters receiving the questionnaire
2. This is an example of:___________
A. a survey containing nonresponse
B. a survey with little bias because a large SRS was used
C. a survey with little bias since the voters know what they want.
D. All of the above

Answers

Answer:

1. B

2. C

Step-by-step explanation:

1. B

The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.

2. C

I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.

Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help phillip estamate the tip on a $36.00 bill correctly?
A. $3.60 + $3.60 = $7.20
B. $3.60 + $1.80 = $5.40
C. $3.60 + $0.36 = $3.96
D. $1.80 + $1.80 = $3.60​

Answers

Answer:

u see I did this add all the answer together to get the answer

Answer:

A

Step-by-step explanation:

Help I’m failing math

Answers

Step-by-step explanation:

the answer is 72.70 cents

Answer: See explanation

Step-by-step explanation:

Markup is 39% of the cost.

Markup is what is added to the price to get the retail price.

39% × 72.72

0.39 × 72.72 = 28.3608

28.3608 ≈ 28. 36

Markup ≈ $28.36

Retail price is the price you get after you add the markup to the original price.

Retail price: Cost + Markup

Retail price: $72.72 + $28.36

Retail price = $101.08

this is really difficult ​

Answers

Answer:

x=32

Step-by-step explanation:

Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!

-3(x + 4y) + 2(x – 2y) + (3x -5y)​

Answers

From what I remember it is -x-31y

Read and solve.
1. Mark's car consumes 11,220 liters of gasoline in a week. How
many liters of gasoline can the car consume in 10 weeks?
Number sentence:
Answer:

Answers

You would have to use multiplication to do this problem.

The number setence would be : 11,220 x 10

The answer would be: 112,200

110 mi/h is equal to mi/day

Answers

Answer:

2640 miles/day

Step-by-step explanation:

There are 24 hours in a day, so 110*24 = 2640.

solve the equation -4.2 + - (0.6) divided by 6​

Answers

Answer:

-0.8

Step-by-step explanation:

-4.2 + - (0.6) /6

-4.2 - 0.6 / 6

-4.8/6

-0.8

What is the whole number of .24

Answers

The whole number of .24 is 24

.24 is a decimal but a whole number would be the only number which is 24. So the whole number of .24 is 24.

jeff Ran 2 miles in 16 minutes. juchan ran ​

Answers

they ran the same because 24 divided by 3 is 8 16 divided by 2 is 8

please help! stuck on this question

Answers

Answer:

Center  (h,k) = (4,7) and radius r = 7

Step-by-step explanation:

Explanation

Given that the equation of the circle

        ( x-4)² + (y-7)² = 49

         ( x-4)² + (y-7)² = 7²

Comparing the standard circle equation

          (x-h)²+(y-k)² = r²  

Center  (h,k) = (4,7) and radius r = 7

Initial Knowledge Check
Question 10
A parachutist's speed during a free fall reaches 231 feet per second. What is this speed in meters per second? At this speed, how many meters will the
parachutist fall during 5 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet.
Do not round your answers,

Answers

132 feet/s

132/3.3 m/s

40 m/s

in 10132 feet/s

132/3.3 m/s

40 m/s

in 10 seconds

40 * 10

400 m

Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07

help!!!!!!

Answers

Answer:

-9/7

Step-by-step explanation:

[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.​

Answers

Answer:

0.8

Step-by-step explanation:

gradient = y difference/ x difference

m = (10-4)/(4--6)

Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?

Answers

Step-by-step explanation:

2x+19=65

2x+19-65

2x-46

2x=46

x=46/2

x=23

so the number is 23

simplify 5(6k+3+7k+3y)

Answers

Answer:

65k+15+15y

Step-by-step explanation:

distribute the 5

30k+15+35k+15y

add all like terms

65k+15+15y

Answer:

65k+15y+15

Step-by-step explanation:

Add 6k and 7k.5(13k+3+3y)

Apply the distributive property.

5(13k)+5⋅3+5(3y)

Simplify.

65k+15+15y

Move 15.

65k+15y+15

what part of the expression is a term a.5 b.+ c.6x+ 5 d. x

Answers

PLEASE MARK BRAINLIEST!

Answer:

If I am not mistaken, the equation is:

6x + 5

So the terms are:

6x 5

The coefficient is:

6

The variable is:

x

The constant is:

5

I hope this helps! Your question was a bit unclear...

- sincerelynini

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