All categories

2 years ago

Factor the quadratic expression 3x^2 + 4x - 4*

Mathematics

2 answers:

Zepler [3.9K]2 years ago

7 0

Answer:(x+2)(3x-2)

Step-by-step explanation:

3x^2 +4x-4

AC method

_×_= ac=-12

_+_=b = 4

6 and -2

But because a is multiplied by 3 you need to divide both by 3 so 6/3 is 2 and because you can not divide -2 by three you move the 3 back to the x and leave it as (3x-2)

Igoryamba2 years ago

5 0

Answer:

(3−2)(+2)

Step-by-step explanation:

You might be interested in

Rose has $426.00 in her checking account. 1⁄3 of her money will go toward bills. How

Alex Ar [27]

Answer:

$284

Step-by-step explanation:

First, find 1/3 of 426 by multiplying 1/3*426

With your answer (142), subtract that from the total in your checking account.

426-142=284

This means, After withdrawing the amount she will use to pay bills, Her left over total will be 284 dollars.

8 0

2 years ago

Read 2 more answers

Simplify, state all restrictions.

Kipish [7]

The simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x - y}{4x^2 - 8xy + 3y^2} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{x^2 - y^2} -1$

Express x^2 - y^2 as (x + y)(x - y) and factorize other expressions

$\frac{x - y}{(2x - y)(2x - 3y)} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Rewrite the expression as products

$\frac{x - y}{(2x - y)(2x - 3y)} \times \frac{2x - 3y}{2x + y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Cancel out the common factors

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{4x^2 - y^2}{(x + y)} -1$

Express 4x^2 - y^2 as (2x - y)(2x + y)

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{(2x - y)(2x + y)}{(x + y)} -1$

Cancel out the common factors

$\frac{1}{x + y} -1$

Take the LCM

$\frac{1 - x - y}{x + y}$

Hence, the simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$

Read more about expressions at:

brainly.com/question/723406

#SPJ1

7 0

1 year ago

What is the answer to this question 8x^2-8

KIM [24]

Answer:

8(x+1)(x-1)

Step-by-step explanation:

I don't know if that is right but that is what I got.

6 0

2 years ago

Jane read 3/8 of a book for 6 days. How many books did she read?

otez555 [7]

$Hey$ $there!$

$The$ $answer$ $to$ $your$ $question$ $is$ $2 \frac{1}{4}$ $books$ .

$To$ $solve$ $this$ , $we$ $must$ $multiply$ $\frac{3}{8}$ $by$ $6$

$\frac{3}{8} *\frac{6}{1}=\frac{18}{8} =2\frac{1}{4}$

$Hope$ $it$ $helps!$ $Have$ $a$ $great$ $day!$

7 0

2 years ago

The length of a rectangle is 5 in longer than its width.

NeTakaya

Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

5 0

2 years ago