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

ayo
whats 2+2=?????
im so confused bro like frrrrrrr
also whats 9+10
thanks

Answers

4 and 21 XDDDDDDDDDD

e) x⁴ - 3x²y² + 9y²​

Answers

Answer:

x

4

+9y

2

u

200

b−3x

2

y

2

Step-by-step explanation:

solve the question.

Answers

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Wow the person who answered above me is smart

Pleaseee Helpppp Meee question number 7 Plsssss

Answers

Answer:

:D

Step-by-step explanation:

1. reflect ABC across the y-axis

2. translate ABC two units down

Can you please explain how I got it wrong and how to get it right (thank you)

Answers

Answer:

x = 42°

Step-by-step explanation:

Since (3x+3) and 129 are corresponding angles, we can set them equal to one another and solve for x.

3x + 3 = 129

     - 3     - 3

      3x = 126

      /3      / 3

       x = 42°

X=42*.................

Find the
n
th
term of the sequence that starts with 31, 35, 39, 43

Answers

Answer:

Step-by-step explanation:

This is a sequence of adding 4

So the next number is 47 51

9. Find the volume of a sphere with a diameter of 4 m, both in terms of A and as a decimal. Use 3.14 for .
Round your answers to the nearest tenth.

Answers

Answer: V≈33.51m³

Step-by-step explanation:

Write the equation of the line that passes through the points (2,-6) and (6,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answ

Step-by-step explanation:

Two point slope =-(-6+6)/(6-2) =0

Equation is y+6 = 0(x-2)

y+6=0

y=-6

The point is -6 at y axis which is a horizontal line.

Which statements are correct interpretations of this graph?

Select each correct answer.


6/10 of a page is edited per minute

3 pages are edited every 5 min

1 2/3 of a page is edited per minute

5 pages are edited every 3 min

Answers

Answer:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Step-by-step explanation:

On the graph, there are 3 points given, which are:

(5, 3), which means 3 pages are edited every 5 mins

(10, 6), which means 6 pages are edited every 10 mins.

(15, 9), which means 9 pages are edited every 9 mins.

Pages edited per minute, using the point (10, 6) would be:

y/x = 6/10. This means ⁶/10 of a page is edited per minute

The correct statements that interprets the graph are:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Answer:

Step-by-step explanation: 6/10 paiges 3 purges

squares q,r,t form a right triangle with dimensions as shown in the diagram. what is the area of square Q​

Answers

Answer:

The area of square Q is 441 m² ⇒ C

Step-by-step explanation:

Let us use the right triangle to find the side of square Q

∵ The length of the side of square T = 29 m

∴ The length of the hypotenuse of the right triangle = 29 m

∵ The length of the side of square R = 20 m

∴ The length of leg1 of the right triangle = 20 m

∵ (leg1)² + (leg2)² = (hypotenuse)² ⇒ Pyathagoras Theorm

(20)² + (leg2)² = (29)²

∴ 400 + (leg2)² = 841

→ Subtract 400 from both sides

∴ (leg2)² = 441

→ Take √  for both sides

leg2 = 21

∵ Leg2 is the side of the square Q

The length of the side of square Q = 21 m

∵ Area of the square = side × side

∴ Area of square Q = 21 × 21

∴ Area of square Q = 441 m²

The area of square Q is 441 m²

The value of varies directly with x. when y = 7.5 , x = 5. what is the value of y when x = 80?

Answers

Answer:

x=120

[tex]7.5 = 5 \\ x = 80 \\ \frac{5x}{5} = \frac{600}{5} \\ x = 120[/tex]

Benson purchased a $1,800 certificate of deposit that earns simple annual interest. At the end of 1 year, the certificate was worth $1,857.60.



What is the annual interest rate on this certificate of deposit?

Answers

Answer:

3.2%

Step-by-step explanation:

Here, we want to calculate the annual interest rate

The interest is = Amount - principal = 1857.60 - 1800 = 57.60

‘Mathematically;

Interest = PRT/100

P is 1,800

r is rate

t is time = 1

57.60 = (1800 * r * 1)/100

100 * 57.60 = 1800r

r = 5760/1800

r = 3.2%

Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

The numbering of the choices was defined in the attached file please find it.  

In the question except for option b, all choices were correct, that can be defined as follows:

Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.

Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice point is a point such that both of its coordinates are integers). How many times does he label a point with the number $25$?

Answers

Answer:

4 times

Step-by-step explanation:

A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times

i.e. (55),(-5,5),(5,-5),(-5,-5)

Jesus u guys are slow so first to answer will get brainliest

Answers

Answer:

heyyyyyyyyyyyyyyyyyy.

what do you mean brainliest

PLEASE HELP WITH ANY OF THE QUESTIONS IN THE PICTURE I WILL GIVE 50 POINTS AND BRAINLEIST

Answers

Answer:

RU=4.44500 cementers

Step-by-step explanation:

I learned from my bigger sister

Find the value of x and y.

Answers

Answer:

x=13

y=132

Step-by-step explanation:

............

A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does the ladder reach along the side of the building? Answer exactly or round to 2 decimal places.

Answers

Answer:

The ladder is 5.20 feet tall on the side of the building

Step-by-step explanation:

Here, we simply want to calculate the height the ladder is from the base of the building

To get this, we need a pictorial representation of what we have here.

From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet

We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building

Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides

In this case, let the height be x

So;

x^2 + 3^2 = 6^2

x^2 = 6^2 - 3^2

x^2 = 36 - 9

x^2 = 27

x = √27

x = 5.196 feet

which to two decimal places is 5.20 feet

2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property

Answers

Answer:

b

B zero product property

Answer:

The Zero property

Step-by-step explanation:

anything multiplied by zero will give you a product of zero

What is the value of y in the solution to the system of equations below?
11x + 12y = 13
14x + 15y = 16

Answers

Answer:

(-1,2) is the answer

The gallons of way used to take a shower varies directly with the number of minutes in the shower .If a 6 minute shower uses 36 gallons of water, find the constant of variation

Answers

Answer:

constant of variation (k) = 6

Step-by-step explanation:

Let us first represent the sentence in direct variation expression:

"the gallons of water used to take a shower varies directly with the number of minutes in the shower"

Let the gallons of water used = g

Let the number of minutes spent in the shower = m

g ∝ m

where: ∝ = sign of proportionality

This means that as g increases, m increases also, and the same holds for decrease too.

g ∝ m

g = km

where k = constant of variation ( or proportionality constant)

Next, If a 6-minute shower uses 36 gallons of water, find the constant of variation

g = 36 gallons

m = 6 minutes

∴ g = km

= 36 = k × 6

k = 36 ÷ 6 = 6

k = 6

18- 8x = 8 + 3(1 - 3x)
Work shown please!

Answers

Answer

7 = -x

Step-by-step explanation:

18- 8x = 8 + 3(1 - 3x)

18- 8x = 8 +3-9x

18- 8x = 11 - 9x

7- 8x = -9x

7 = -x

Answer:

x=-7

Step-by-step explanation:

step by step in picture.

please help god bless you

Answers

Answer:

one u selected i think

it maybe not correct

Step-by-step explanation:

i bless u too

Yes you are the correct answer

A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.

Answers

Answer:

8p=c

Step-by-step explanation:

The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c

Find the solution to the following system of equations:
[2x-y=3
[x-y= -2
A.(-1,-5)
B.(1,3)
C.(4,5)
D.(5,7)​

Answers

Answer:

the answer is D.(5,7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

hope this help. :)

Select the function that defines the given sequence.

Answers

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.

James and Ahmik went to a bicycle show. Of the bicycles they saw at the show, 32% were blue, 25% were red, 25% were green, and 18% were black. In ratio form, what percent of the bicycles were red or black?

Answers

Answer: 43:100

Step-by-step explanation:

Percentage of bicycles that are blue = 32%

Percentage of bicycles that are red = 25%

Percentage of bicycles that are green = 25%

Percentage of bicycles that are black = 18%

Percentage of bicycles that are red or black = 25% + 18% = 43%

Therefore, 43% will be written in ratio form as 43:100

Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank account. What is the change in her bank balance in dollars as a result of these transactions?

Answers

Answer: She has a $-7.50 balance

Step-by-step explanation: A = 3*12.5

                                             A= 37.5

                                             37.5-30= -7.5

Answer:

Her balance will be $7.50 in the red.

Step-by-step explanation:

expenses: (12.50)*3 = 37.50

funds added: 30

$30 - $37.50 = -$7.50

Pls get it right this a test I need the best grade

Answers

Answer:

9.6

Step-by-step explanation:

Answer:

the answer is 9.6

Step-by-step explanation:

your welcome

Is this congruent by SSS, SAS, AAS, ASA? :)))))))

Answers

Answer:

i believe it is sss because the third s is the reflective property.

Step-by-step explanation

Other Questions
5th one pls help me ..... what is 4.89 times 6.3 in dollars and cents plz i really need help!:( Do you believe that as time passes, older documents like the Declaration holdmore or less meaning given the current state of our country? Why or why not Joanne designs and sells t shirts through an online forum. she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt. She charges 6 dollars per shirt. Determine how many t shirts Joanne needs to sell in order to break even. how does the legislative process ensure the validity of laws? What are the roots of the polynomial equation x* 25x + 144 = 0?A -16, -9. 4 916, 9D. -4,-3,3,4 3. PLEASE HELP! Jenna just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51.22. She withdrew $5.23 for new pencils, $5.22 for cards, and $7.89 for movies from her account in the same month.(a) Write Jenna's withdrawals as negative rational numbers and her deposits as positive rational numbers.(b) Order the rational numbers from least to greatest and explain your reasoning.(c) What is the greatest deposit within Jenna's account so far? What happened to many Africans during the age of exploration and the scientific revolution Set up and solve an equation to find x. A painter uses 1.2 liters of the paint to cover 1m2 of the wall.How much paint will he need to cover 7m2;? What is the difference between the SSS/SAS congruency postulate and the SSS/SAS similarity postulate?Help Please!!!! The words subscriptions and describe both contain the root script. Basedon this information, what does the root script MOST LIKELY mean?A) to actB) to moveto lookeD) to write how am I suppose to finish the sentence off? what are the levels of organization systems from simple to complex? A plant dying after being exposed to poison represents a physical change. True False identify conditions and disabilites that may impact on an individuals ability to negotiate what is biosphere hydrosphere and atmosphere If 8 g of a radioactive substance are present initially and 2 yr later only 4 g remain, how much of the substance will be present after 5 yrs? 20 ML of a gas at 200 K is heated until the new volume is 55ML what is the final temperature of the gas A 3,000 square foot office space is leased for $17.00 per square foot. The space is vacant one month out of the year. Expenses total $22,500 for the year but an expense stop is in place that passes $4,500 of these expenses onto the tenant. What is the landlord's Net Operating Income