Factor the equation
please help

Factor The Equation Please Help

Answers

Answer 1

Answer:

For A

[tex]{ \rm{6 {x}^{2}(x + 1) - 2x(x + 1) }}[/tex]

• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:

[tex] \dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}[/tex]

• now in the second bracket, the common factor is x and 2.

[tex] \dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}[/tex]

Final answer;

[tex]{ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \: \: }}}}[/tex]

For B

[tex]{ \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}[/tex]

• In the equation, the common bracket is (x + 2).

So let's first factorise it out:

[tex] \dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2} - x) \}}} \\ \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}[/tex]

• In the second major bracket, the common bracket is (x - 1). so factorise it out:

[tex]{ \rm{(x + 2) (x - 1) \{3 + x \}}}[/tex]

Final answer:

[tex]{ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x + 3)(x - 1) \: \: }}}}[/tex]


Related Questions

1.) the length of a rectangular Garden is double of its breadth.if the area of Garden is 128m2.find the length and breadth

Answers

Area = Length X width

Let the width (breadth) = X

The length is double so it is 2x

Area = X * 2x = 2x^2

128 = 2x^2

Divide both sides by 2:

64 = x^2

take the square root of both sides:

x = 8

The breadth = 8 meters

The length = 16 meters

Please help me solve these 3 questions

Answers

1. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In that way, the brackets are removed. We can then combine like terms and solve by equations when necessary.

2. The first step is simply to apply the distribution using the distributive property : 3(3x-5x)+2=-8 applying the distributive operation we get 9x -15x or we could have simply done 3(2x)+2=-8 which gives us 6x+2=-8 and finally 6x= -8/2= -4

6x=-4 means x= -4/6 thus x= -2/3

3. Multiplication has priority over addition or subtraction thus we have first to apply the distributivity before combining the variable terms

How are the two angles related?

Answers

The angles 60 degrees and 120 degrees are related by supplementary.

Supplementary angles:

Supplementary angles are angles that sum up to 180 degrees.

In other word, supplementary angles are two angles whose measures add up to 180° .

Therefore, the two angles 60 degrees and 120 degrees are related by supplementary angle. Mathematically

60° + 120° = 180°

learn more on angles here:https://brainly.com/question/3027144

All angles in the figure at the right are right angles what is the agree of the figure
F.14
G.18
H.28
I.36

Answers

Answer:

Ans: 36

Step-by-step explanation:

just separate it into three rectangles and use the formula

A=l*b

and at last add all of them

When you toss a die while playing a game, you can get 1, 2, 3, 4, 5, or 6 on the top face. How many possible combinations of the top faces for the dice are there if:


a) you must toss 4 dice

b) you must toss n dice

Answers

Using the fundamental counting theorem, it is found that:

a) 1296 combinations are possible.

b) [tex]6^n[/tex] combinations are possible.

The fundamental counting theorem states that for n independents trials, each with [tex]n_1, n_2, n_n[/tex] ways of being done, the total number of combinations is:

[tex]T = n_1 \times n_2 \times ... \times n_n[/tex]

Item a:

Four independent dice throws, each with six outcomes, thus:

[tex]T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296[/tex]

Item b:

n independent dice throws, each with six outcomes, thus:

[tex]T = 6^n[/tex]

A similar problem is given at https://brainly.com/question/24067651

Explain a set of parallel lines and a transversal line within this image.

Plz help me, thx you so much

Answers

the tracks are parallel since they won’t cross, i’m not so sure about the transversal mb

x−2y=−1
y=5x−3
Choose the correct answer below.
A.
The two lines are perpendicular.
B.
The two lines are neither parallel nor perpendicular.
C.
The two lines are parallel.
D.
More information is needed.

Answers

b.

they're just intersecting.

find the diameter of the circles having areas of 2464 cm square .​

Answers

Answer:

the diameter of a circle is 56 CM

Figure HNMLKEFG is the image of figure ABCDKLMN after being rotated 90 degrees counter-clockwise around point K. Draw an auxiliary line in figure ABCDKLMN to create a quadrilateral. Draw the image of the auxiliary line when rotated 90 degrees counter-clockwise around point K. Write a congruence statement for the quadrilateral you created in figure ABCDKLMN and the image of the quadrilateral in figure HNMLKEFG.

Answers

3halfs 3 charter 5 feet

PLSSSSS HELPPP P PP P P P WUICKKKKLYLLYLYLYLYYYYY PLSSSSS

Tammy made $177 for 9 hours of work.
At the same rate, how many hours would she have to work to make $133?

THIS SHOULD BE EASY!!!!!

Answers

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

If a circle has a circumference of 40.82cm what would the diameter be show working out

Answers

Answer:

d = 12.99cm

Step-by-step explanation:

The formula of the circumference of a circle is as follows:

    [tex]C = \pi d[/tex]

    [tex]40.82 = \pi d\\\frac{40.82}{\pi } = d\\ d = 12.99 cm[/tex]

which graph shows proportional relationship between x and y

Answers

I believe graph D shows proportional relationship

6.1 times 10 to the 4th power

Answers

Answer:

61,000

Step-by-step explanation:

[tex]6.1[/tex]·[tex]10^{4}[/tex]

6.1·10000

61,000

Answer:

61,000

Step-by-step explanation:

6.1 · 10^4

6.1 · 10,000=

61,000

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices. How many pizzas should they order?

Answers

Answer:

its 4 pizzas

Step-by-step explanation:

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices.

The total number of slices will be given as,

⇒ 9 x 3

⇒ 27

Then the number of pizzas will be given as,

⇒ 27 / 8

⇒ 3.375

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

y +4 = 2/3(x – 3)
Write equation in standard form.
Please put a step by step explanation!

Answers

Answer:

2x - 3y = 18

Step-by-step explanation:

The standard form is:

ax + by = c

Given equation in point- slope form:

y + 4 = 2/3(x - 3)

Convert:

y + 4 = 2/3(x - 3)3y + 12 = 2x - 6-2x + 3y = - 6 - 12-2x + 3y = - 182x - 3y = 18
y+4=2/3(x-3)y+4=2/3x-2y=2/3x-2-4y=2/3x-63y=2x-182x-3y=18

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 40 flowers. How many daisies should she plant?
A.
21 daisies
B.
8 daisies
C.
24 daisies
D.
38 daisies

Answers

Answer:

C.

24 daisies

Step-by-step explanation:

3 + 2 = 5
40 divided by 5 = 8
8 times 3 = 24
8 times 2 = 16
There are 24 daisies and 16 carnations. So the answer is C, 24 daisies.
Please mark brainliest if possible and have a nice day!

Compact discs are on sale for $13.00 including tax. How many can you buy with $84.00?

Answers

Answer:

You can buy 6

Step-by-step explanation:

You divide 84 by 13 and it will give u a decimal

Solve: 70 x 103^3.

A 7,000
B 700,000
C 700
D 70,000

Answers

Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

Write the equation of a circle with radius 10 and center (-7,9) in standard form.

Answers

Im not too sure but i think its
(x+7)^2 + (y-9)^2=100

In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the sum of the first 7 terms​

Answers

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255


(Show work)
Please help me

Answers

Answer:

8km to miles

8÷1.609

4.97097

Answer:

4.97 miles or approximately 5 miles

Step-by-step explanation:

To get kilometers to miles, you divide by 1.609

So [tex]\frac{8 km}{1.609 mi}[/tex]=4.97 or approximately 5 miles.

Will mark brainliest to best answer, i need it asap!!!!!!!!!!!!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Above statement can be represented as :

[tex] \dfrac{a - 15}{10} [/tex]

so, the correct choice is A.

(Correct answer get's brainliest)
What is the domain and range of the function?

Match the domain and range with the corresponding set of points.

Answers

Domain (0, infinity)
Range (-inf, 1)
Domain : (0, infinity)
Range : (-infinity, infinity)

Simplify the following algebraic expression by combining like terms 2x - 2 + x + 4

Answers

Answer:

3x+2

Step-by-step explanation:

2x-2+X+4

= 2x+X+4-2

= 3x+2

4/5×3/8= the aswer and thanks

Answers

Step-by-step explanation:

[tex] \frac{4}{5} \times \frac{3}{8} [/tex]

Reduce the numbers with the greatest common factor 4

[tex] \frac{1}{5} \times \frac{3}{2} [/tex]

Just multiply, To multiply the fractions , multiply the numerators and denominators separately

[tex] \frac{1 \times 3}{5 \times 2} [/tex]

[tex] \frac{3}{10} [/tex]

That's the answer 3/10 or 0.3

You spent ¼ of your money on lunch.After lunch you gave half of what you had left to the friend,then you spent $3 on a boon. You have $4¼ left. How much money did you have before lunch.


Please explain this. with answer​

Answers

Answer:

[tex]total \: you \: have \: = x \\after\: lunch \: you \: have \: = \frac{3x}{4} \\ a fter \: giving \: to \: friend = \frac{3x}{8} \\ after \: spending \: for \: boon = \frac{3x}{8} - 3 = 4 \frac{1}{4} \\ \frac{3x - 8 \times 3}{8} = \frac{17}{4} \\ \frac{3x - 24}{2} = 17 \\ 3x - 24 = 17 \times 2 \\ 3x - 24 = 34 \\ 3x = 34 + 24 \\ 3x = 58 \\ x = \frac{58}{3} \\ x = 19.33 \\ thank \: you[/tex]

The ages of Sara and Samia are in the ratio 3: 5. Six years from now the ratio of

their ages will be 2:3.Find their present ages. with explanation please

Answers

Answer:

Sara=18 years

Samia=30 years

Step-by-step explanation:

For age questions, the difference of their ages remains the same.

Now             6 years from now

Sara:Samia Difference Sara:Samia Difference

  3   :    5            2             2   :   3           1

                                           x2     x2         x2   (times two to make them equal)

                                           4   :    6          2        

4-3=1

1 unit=6

Sara=6x3=18

Samia=6x5=30

Hope this helps! Thanks.

What’s the answer? Please help thank you

Answers

Answer:

-5000

Step-by-step explanation:

hope this helps :)

(15x7 - 10x3 + 5x2) ÷ (5x2)

Answers

[tex](15x7 - 10x3 + 5x2) \div (5x2) \\ = (15x \times 7 - 10x \times 3 + 5x \times 2) \div (5x \times 2) \\ = (105x - 30x + 10x) \div (10x) \\ = 85x \div (10x) \\ = \frac{85x}{10x} \\ = \frac{17}{2} [/tex]

Solved ✔︎
Exact form:17/2

Give me 5 stars plzzzz

I can do sin A but have no idea what sin B means.

Answers

Answer: sin B is equal to H in most scenarios, but I don't know what it is in this one.

Step-by-step explanation:

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