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2 years ago

Which model represents the factors of 4x2 – 9?

Mathematics

2 answers:

mel-nik [20]2 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]2 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 )

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Find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8

Nataliya [291]

We have that
3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2

the solution is the point (4,2)
in the equation 2 substitute the value of
x=4
y=2
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2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14

the answer is
Q=14

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3 years ago

2x^3-3x^2-11x+6 divide by x-3

Alexxx [7]

Answer: $2x^2+3x-2$

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do $\frac{2x^3}{x}=2x^2$ . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

$2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6$

Now do $\frac{3x^2}{x} =3x$ . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

$3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6$

Your final step is to do $\frac{-2x}{x} =-2$ . Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

$-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0$

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

$2x^2+3x-2$ times

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2 years ago

Read 2 more answers

In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$