factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]

Answers

Answer 1

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

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

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form


Related Questions

Just part A please as soonnn as possible I need help!!! Thanks!

Answers

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

which statement is true

Answers

Answer: The answer is D. the data distribution is skewed to the right.

Step-by-step explanation:

Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.

The answer is d the data is skewed to the left

Question in picture solve

Answers

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?

Answers

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =

PLEASE HELP I DONT UNDERSTAND THIS

Answers

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is

Answers

Answer: 17 to 15

Step-by-step explanation:

an object travels at 20 m/s for 20 seconds. how far has it traveled?

Answers

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

9 = -d + 17

A.-2
B.8
C.10
D.-8

Answers

Subtract 17 from both sides

9= -d+17
9 - 17 = -d + 17 - 17

-8 = -d

Then divide.

-8/1 = -d-1

Cancel terms that are in both numerator and denominator

Answer:
8 = d
Pringles exposed for being nazi corporation? Here’s evidence for my claim

I don't understand this​

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere

Answers

Answer:

cylinder

Step-by-step explanation:

The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?

Answers

Answer: 1259 meters

Step-by-step explanation:

Highest elevation = 1232 meters

Lowest elevation = -27 meters

The difference in elevation between the highest and lowest points will be:

= 1232 - (-27)

= 1232 + 27

= 1259 meters

Note that (-) × (-) = +

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

I’m not completely sure but I think that’s it’s 50cm^2

There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.

Answers

So what’s the question-

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?

Answers

Answer:

50/2.80= 17

17 dounuts

y= -2(x-3)(x-2) to standard form ​

Answers

Y=-2x^2+10x-12 is the correct answer.

Find the length of the missing side. The triangle is not drawn to scale

Answers

Answer:10

Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10

The missing side 10.

Option C is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem.

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Thus,

The missing side is 10.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp

Answers

What goes in the empty box is 22 because they notes get multiplied by 2 to equal the time

Since the box represents a proportional relationship, the empty box would be = 22.

What is a proportional relationship between two variables?

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

Learn more about multiplication here:

https://brainly.com/question/29793687

#SPJ6

EASY QUESTION!!Example 3:


A soccer ball will not move until a player kicks it.


Group of answer choices


Newton's 1st Law


Newton's 2nd Law


Newton's 3rd Law


Give evidence or explain your reasoning for your answer to example #3:

Answers

Answer:

this is Newton's first law

Step-by-step explanation:

the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it

I need this answer ASAP!!!!!!
What is 1 + 2?

Answers

Ummmmmm I think it’s 12

Answer:

3

Step-by-step explanation:

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

The equation of the line is Y =22x + 10

Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds

Answers

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3

f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA

Answers

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

What do you have to increase a number by to change it's place value

Answers

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

A. an angle measures . What is the measure of its supplement?

B. An angle measures . What is the measure of its complement?

there are 2 parts plz answer both.

Answers

Answer:

Fkgjjgjvvkvkkv

Step-by-step explanation:

Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn

Hhh

i really need help!!!! i need answer to c:

Answers

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.

Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.

Part B. How many hours did the electrician work?

Answers

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

jj

(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?

Answers

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

Other Questions
which word best describes heras garden Please help me with this question its due tonight In paragraph 2, what are two reasons he gives for not celebrating July 4th? Which of the following cells have a nucleus? - Animal cell- Bacteria cell- Plant cellWhich of the following cells have a cell wall?-animal cell- bacteria cell - plant cell Which part of this excerpt from Robert Louis Stevenson's Treasure Island best shows that the narrator was not pleased with the new look of theAdmiral Benbow Inn?The next morning he and I set out on foot for the Admiral Benbow, and there I found my mother in good health and spirits. The captain, whohad so long been a cause of so much discomfort, was gone where the wicked cease from troubling. The squire had had everything repaired, andthe public rooms and the sign repainted, and had added some furniture --above all a beautiful armchair for mother in the bar. He had foundher a boy as an apprentice also so that she should not want help while I was gone.It was on seeing that boy that I understood, for the first time, my situation. I had thought up to that moment of the adventures before me, not atall of the home that I was leaving; and now, at sight of this clumsy stranger, who was to stay here in my place beside my mother, I had my firstattack of tears. I am afraid I led that boy a dog's life, for as he was new to the work, I had a hundred opportunities of setting him right andputting him down, and I was not slow to profit by them.The night passed, and the next day, after dinner, Redruth and I were afoot again and on the road. I said good-bye to Mother and the cove whereI had lived since I was born, and the dear old Admiral Benbow-since he was repainted, no longer quite so dear. One of my last thoughts was ofthe captain, who had so often strode along the beach with his cocked hat, his sabre-cut cheek, and his old brass telescope. Next moment we hadturned the corner and my home was out of sight. Help me please!?!?!?!????? Suppose a cell is placed in a large container of water with a very low solute concentration. What do you think would happen? identify the body of water named 13 (its near Europe on the bottom) Which was a cause of the Revolution?GetsemotiBunker HillThe Declaration of IndependenceTownshend Act what is an example of direct impact on mining Which sentence best states the authors' claim in this passage?Today we have many sources of sugar, but sugarcane is still the best source.Advances in the production of sweeteners hastened the end of involuntary servitude.The Age of Science has made the role of modern chemists similar to the former role of slaves.Brazilians make ethanol from sugarcane because they cannot grow corn successfully. The left and right margins of the page should always be the same.TrueFalse help me in this question What must happen to an atom of magnesium in order to become a magnesium ion Mg+2?It must lose two neutrons and become a different isotope.It must gain two neutrons and become a different isotope.It must lose two electrons and become an ion.It must gain two electrons and become an ion. Por qu Ulises considera fi eles a sus compaeros? Qu elementos del relato te permiten deducirlo? what is y=(-2/3)x+400 as a function? Can someone please please help me. ????? 5Subtract 27 from 431421 An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length? Please hurry i really need it fastThe answers are hereIn which figure does Colin do work? A. Figure A B. Figure B C. Both figures D. Neither figure