1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sunny_sXe [5.5K]
3 years ago
6

Which model represents the factors of 4x2 – 9?

Mathematics
2 answers:
mel-nik [20]3 years ago
7 0

Answer: Difference of squares model is used.

Step-by-step explanation:

Since we have given that

4x^2-9

We need to find the model which represents the factors of the above quadratic equation:

As we know that " a^2-b^2=(a+b)(a-b)"

So, our quadratic equation will become,

4x^2-9\\\\=(2x)^2-3^2\\\\=(2x+3)(2-3)

Hence, we will use "Difference of squares model "

Factors will be (2x-3) and (2x+3) .

GREYUIT [131]3 years ago
3 0
The factors of 4 x² - 9 :
4 x² - 9 = ( 2 x - 3 ) · ( 2 x + 3 )
We have to use the formula for the difference of squares:
a² - b² = ( a - b ) · ( a + b )
You might be interested in
Factorise and solve : x^3-x^2-4x+4
Alika [10]

(x - 1)(x - 2)(x + 2)

note that the sum of the coefficients 1 - 1 - 4 + 4 = 0

thus x = 1 is a root and (x - 1 ) is a factor

dividing x³ - x² - 4x + 4 by (x - 1)

x³ - x² - 4x + 4 = (x - 1)(x² - 4 ) (note (x² - 4 ) is a difference of squares )

x³ - x² - 4x + 4 = (x - 1)(x - 2)(x + 2)

(x - 1)(x - 2)(x + 2 ) =0

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

solutions are x = 1 or x = ± 2



6 0
3 years ago
I need help for brainliest
devlian [24]

Answer:

<h2><u><em>46 cm²</em></u></h2>

Step-by-step explanation

the figure is composed of a square with an isosceles right triangle inside, we find the area of ​​the square and we take away the area of ​​the triangle.

Triangle area = lxl, right-angled triangle area side by side divided by two.

  • square area

8 * 8 = 64cm²

  • Triangle area

6 * 6 : 2 = 18 cm²

Area of the shaded region

64 - 18 = 46 cm²

7 0
2 years ago
Despite the heavy reliance on e-mail, in certain situations calling may be the most efficient channel of communication, whether
tensa zangetsu [6.8K]

Answer:

Be cheerful and accurate

Step-by-step explanation:

There are other etiquette that may be put in consideration.

★Answer the call within three rings.

★Immediately introduce yourself.

★Speak clearly.

★Only use speakerphone when necessary.

★Actively listen and take notes.

★Use proper language.

Remain cheerful.

★Ask before putting someone on hold or transferring a call.

★Be honest if you don't know the answer.

★Be mindful of your volume.

★Check for and respond to voicemails.

8 0
3 years ago
plz help, i need help. sos...Mr. Porter’s gross pay is $90,000 per year. He files taxes as head of a household, and his income t
andrew11 [14]
Mr. Porter will get refunded $1200
5 0
3 years ago
Read 2 more answers
Can a rational number be subtracted by a irrational number an equal a rational number?
vladimir2022 [97]

Answer:

No

Step-by-step explanation:

The sum of a rational number and an irrational number is irrational.

4 0
3 years ago
Other questions:
  • Can someone help me please
    10·1 answer
  • Arrange these numbers in order from least to greatest: 3/2, 0, -1, 2/3
    12·1 answer
  • The formula C=kmt is used to find the number of calories a person burns during exercise, where m is the person’s weight in pound
    11·1 answer
  • a pottery maker can make 24 vases in 8 days. if the pottery maker works 6 hours each day. how long does it take to make 1 vase
    9·2 answers
  • What’s the answer ??
    11·1 answer
  • Question 3 (5 points)
    11·2 answers
  • Billy needs 4000 points to become level 7 on battle field 3 . If he has completed 3/5 of what he needs so far how many points do
    6·2 answers
  • Find the value of x. Please help
    7·1 answer
  • I NEED HELP PLEASE!!!!!!
    9·1 answer
  • Which one of the options is not a factor
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!