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3 years ago

9

What is the factored form of this expression? 4x^2-12x+9

2 answers:

Bezzdna [24]3 years ago

8 0

Answer:

2x-3

Step-by-step explanation:

Lana71 [14]3 years ago

5 0

Answer:

(2x-3)^2

i hope its correct...

Step-by-step explanation:

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What is the common ratio for the geometric sequence?<br><br> 18, 12, 8, 16/3,…

alex41 [277]

Answer:

2/3

Step-by-step explanation:

Given : A geometric sequence : 18, 12, 8, 16/3,…

Solution :

Each term is found by multiplying the previous term by a constant in a Geometric Sequence .

In a Geometric Sequence common ratio is denoted by r

$r = \frac{a_{n} }{a_{n-1} }$

for n = 2

$r = \frac{a_{2} }{a_{1} }$

⇒ $r = \frac{12 }{18 }$

⇒ $r = \frac{2 }{3 }$

for n = 3

$r = \frac{a_{3} }{a_{2} }$

⇒ $r = \frac{8 }{12 }$

⇒ $r = \frac{4 }{6 }$

⇒ $r = \frac{2}{3 }$

Thus the common ratio 'r' = 2/3

6 0

3 years ago

Read 2 more answers

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

So

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

7 0

1 year ago

Please i need help with this one

swat32

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]

F = 4.4721

4 0

2 years ago

The value of |kl - |m| if k= -8 and m = -5 is . <br><br> PLEASE HELP

joja [24]

-3 ? i think if it’s wrong i’m sorry

7 0

2 years ago

Iihhhhhhhhhhhhhhhhhhhhiiiiiiiiiiii

Sever21 [200]

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

8 0

3 years ago