QUESTION 4
Factorise fully:
4.1.1
12x² – x - 6​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.

The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.

[tex]12x^2 -x - 6[/tex]

[tex]12x^2 -9x + 8x - 6[/tex]

Take out the common factor,

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

Factor,

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


Related Questions

A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS

Answers

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

Algebra 2 PLEASE HELP

Answers

Answer:

[tex]\frac{x+20}{x+4}[/tex]

Step-by-step explanation:

Can't cancel out terms like that

need to factor out the top and bottom

[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex]   now cancel out the (x-4) from the top and bottom

= [tex]\frac{x+20}{x+4}[/tex]

Answer & Explanation:

Error: individual terms in an equation in a fraction cannot be directly canceled out.

Correction:

the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):

(x^2 + 16x - 80) / (x^2 - 16)

(x+20)(x-4) / (x+4)(x-4)

x+20 / x+4

the complicated way (manipulate the exponents and common factors):

(x^2 + 16x - 80) / (x^2 - 16)

(x^2 - 4x + 20x - 80) / x^2 - 2^4

x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)

x(x-4)+20(x-4) / (x-4)(x+4)

x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)

(x-4)(x + 2^2 (5)) / (x-4)(x+4)

(x-4)(x+20) / (x-4)(x+4)

x+20 / x+4

I am the number that is 40 less than the largest number u can make using five of the digits what number am I


Only can use 1 8 3 4 9 6 2 7 I think

Answers

Answer:

9 876 391

Step-by-step explanation:

arrange the numbers in ascending order

9 876 391

subtract 40 from the number

9876431 - 40

9 876 391

Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant rate. About how much water does Sam drink per hour?

Answers

Answer:

2.9 litres

or

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

[tex]2\frac{1}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{11}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{44}{15}[/tex] = 2[tex]\frac{14}{15}[/tex] litres

Nahla Burtoni is buying her first home for $125,000. She has been granted
a mortgage loan at an annual interest rate of 8.5% for 20 years with a
$25,000 down payment. Closing costs are 2% of the amount of the
mortgage loan and will be financed as part of the mortgage. What is the
actual amount financed with the mortgage?
O $100,000
O $102,000
O $120,000
O $125,000

Answers

Answer: the answer is B!!!!!!!!!!!!!!

Step-by-step explanation:

How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to
the volume of a cylinder with a radius of 8 inches and a height of 6 inches?

Answers

Answer:

they are the same

Step-by-step explanation:

We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.

Volume of cylinder 1 will be -

V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π

Volume of cylinder 2 will be -

V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π

So, we can write that -

V(1)/V(2) = (288π)/(384π)

V(1)/V(2) = (288)/(384)

V(1)/V(2) = 3/4

Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

To solve more questions on cylinders, visit the link below-

https://brainly.com/question/16134180

#SPJ3

Each day Mrs. Yoder assigns 15 addition and 12 multiplication problems as homework. What is the total number of addition and multiplication problems assigned after 5 days?

Answers

Answer:

135

Step-by-step explanation:

(11m-7m)-(2m+6m) the sum or differce

Answers

Answer:

-4m

Step-by-step explanation:

=11m-7m-(2m+6m)

=11m-7m-8m

=-4m

plz mark me as brainliest

Answer:

-4m

Step-by-step explanation:

Hey!

==================================================================

First, We should remove the Parentheses.

To remove them, we distribute the negative over (2m + 6m).

⇒ 11m - 7m - (2m + 6m)

⇒ 11m - 7m - 2m - 6m

Work the Problem from Left to Right.

⇒ 4m - 2m - 6m

⇒ 2m - 6m

-4m

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

Which of the following answers matches “The quotient of 9 and the sum of the quantities 5 and product of 8 and x.”

Answers

Answer:

I believe this is the answer  9/(5 + 8x)

a storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

Answers

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

» 40 students were asked their favourite
shoe colour.
What percentage chose white?

Answers

Answer: 40% i think

Step-by-step explanation:

Someone help me out plzz

Answers

Answer:

with what? You forget to attach the problem lol

Step-by-step explanation:

Answer: What is the question you need help with??

Step-by-step explanation:

A quadrilateral has interior angles a, 112 degrees, 97 degrees, and 83 degrees. Find the missing angle measure in the quadrilateral. 83° + 97° + a° + 112° = 360° 292° + a° = 360° The measure of the missing angle is °.

Answers

Answer:

The missing angle is 68 degrees

Step-by-step explanation:

Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?

Answers

Answer:

I would expect Emmy to get 8 hits in her next 16 tosses.

Emmy is to get 8 hits in her next 16 tosses.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data.

The probability is,

P = 9 / 18

P = 0.5

The expected number of the hits on the target in 16 tosses will be;-

Number = 16 x 0.5

Number = 8

Therefore, Emmy is to get 8 hits in her next 16 tosses.

To know more about probability follow

brainly.com/question/24756209

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Need help with this

Answers

Answer:

search it up

Step-by-step explanation:

Arthur is interested in the effects of sleep deprivation usage on number of calories consumed. He asks a group of 20 college students to spend the night in the sleep lab under one of these conditions: no sleep, 2 hours of sleep, 4 hours of sleep, 6 hours of sleep, or 8 hours of sleep. Arthur measures how many calories are consumed by the students in the sleep lab, which is stocked with various food items. After collecting these data, Arthur performs an ANOVA and finds that he can reject the null hypothesis. On the basis of this, what does Arthur know

Answers

Answer:

Arthur knows that there is a difference among the groups somewhere, but he does not know where

Step-by-step explanation:

An ANOVA test is a test to find out whether the results of an experiment or a survey are significant or not. ANOVA test helps the researcher or the experimenter to decide whether they reject the null hypothesis or accept the alternate hypothesis in the experiment. In ANOVA test, the experimenter wants to find if there is a difference between them or not.

In the context, Arthur is doing a study and he wishes to find out effect of a sleep deprivation on the number of the calories that people consumed. He collects some data from his subject group from the sleep lab and after running the ANOVA test, he finds out that he can reject the null hypothesis. So on this basis, Arthur knows that there is some basic difference among the members of the group somewhere, but he does not know where actually the difference is.

factorise:x^2-y^2-x-y​

Answers

9514 1404 393

Answer:

  (x -y -1)(x +y)

Step-by-step explanation:

The expression can be factored by grouping.

  x^2 -y^2 -x -y = (x^2 -y^2) -(x +y)

  = (x -y)(x +y) -1(x +y)

  = (x -y -1)(x +y)

_____

It is useful to know that a difference of squares is factored as ...

  a^2 -b^2 = (a -b)(a +b)

5326781902938w7467281p9983746t5edsnhm,kwleor897tdbn

Answers

Answer:

huhhhhh ?????// thanks for the points but what words did u mean to say /???//

Step-by-step explanation:

find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48​

Answers

x2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros

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HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A

I’m pretty sure it’s A

Answer:

A, sure

mark me as brainliest plz

which is the simplified form for
2(3a+5)+8(a-1)

a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2


miku nakano here

Answers

LOL.

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer: Choice C. [ 14a + 2 ]

- A computer modem can transmit
1.5 X 10 bytes per second. How many
bytes can it transmit in 300 seconds?
Write your answer in scientific notation.

Answers

300 x (1.5 x 10)
= 300 x (15)
= 4500
= 4.5x10^3


Which graph is a function of x?

Answers

Answer:

The first graph is the function of x

Is there more graphs because it’s not the top two.

Maya cuts sandwiches into halves. She has 15 sandwiches. How many halves does she make

Answers

Answer:

30

Step-by-step explanation:

15 x 2

Can someone really help me!

Answers

A negative times a negative is a positive, so, 5-(-20)=?
5(20)
100

lets take number one for example,

When subtracting negative numbers, the (-) in the number (-20) cancels out the original minus sign, therefore, to answer the equation:

10 - (-20)

you would need to turn the equation into an addition problem, getting the equation:

10 + 20

and from there you can get the simple answer of:

30

(brainliest please)

Please help :) thank you to whoever does help!?

Answers

Answer:[tex]\boxed{\boxed{\sf{a=5}}}[/tex]Solution Steps:

____________________________

1.) Fill in the formula: F = [tex]B^2-C^2=A^2[/tex]F = [tex]12^2-13^2=A^2[/tex]F = [tex]144-169=A^2[/tex]

2.) Subtract:[tex]169-144=25[/tex]

3.) Find the square root of 25:[tex]\sqrt{25} =5[/tex]

So your answer would be C, [tex]\bold{a=5}[/tex].

____________________________

A rectangular window is 3.5 feet wide and has an area of 19.25 square ft you have six yards of string light do you have enough string lights to outline the window with light

Answers

Answer:

yes

Step-by-step explanation:

We are to determine if 6 yards is enough t to go round the perimeter of the window

The length is not given, so we have to determine the length from the area

Area of a rectangle = length x breadth

19.25 = 3.5 x length

length = 5.5 feet

Perimeter = 2 x ( length + breadth )

2 x (5.5 + 3.5) = 18 feet

We need to convert the string to foot

1 yard = 3 foot

6 x 3 = 18 foot

the string and the perimeter are equal, so it is enough

Based on the two data sets represented below, complete the following sentences.
\text{DATA SET B}
DATA SET B
0
0
23
24
25
26
27
28
29
30
31
32
33
\text{DATA SET C}
DATA SET C
0
0
23
24
25
26
27
28
29
30
31
32
33

The median of Data Set B is
than the median of Data Set C. The minimum of Data Set B is
than the minimum of Data Set C.

Answers

Hey don’t go to the link

Which of the following sets of angle measures can be used to draw an acute isosceles triangle? Select all that apply. 75°, 30°, 75° 80°, 55°, 45° 80°, 80°, 40° 60°, 60°, 60° 50°, 50°, 80° 20°, 140°, 20°​

Answers

Answer:

1. 80°, 80°, 40°

2. 60°, 60°, 60°

3. 20°, 140°, 20°

4. 50°, 50°, 80°

5. 75°, 30°, 75°

6. 80°, 55°, 45°

6, 2, and 4

Answer:

I think its 6,2, and 4

Step-by-step explanation: hope that helps! °∪°

Kwans beginning account balance was $20. his ending balance is $0. what integer represents the change in his account balance from beginning to end?

Answers

-20

An integer is any whole number, negative or positive, and since Kwan lost 20 dollars, the answer is -20.
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