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Annette [7]
2 years ago
8

Complete the factorization of 3x^2 – 10x + 8. 3x^2 – 10x + 8 = (x – ___ )( ___ x – 4)

Mathematics
2 answers:
Maslowich2 years ago
6 0

Answer:  The complete factorization of the given expression is (x-2)(3x-4).

Step-by-step explanation:  We are given to complete the factorization of the following quadratic expression :

E=3x^2-10x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To factorize the given expression, we need two integers with sum -10 and product 34. Those two integers are -6 and -4.

The factorization of expression (i) is as follows :

E\\\\=3x^2-10x+8\\\\=3x^2-6x-4x+8\\\\=3x(x-2)-4(x-2)\\\\=(x-2)(3x-4).

Thus, the complete factorization of the given expression is (x-2)(3x-4).

zlopas [31]2 years ago
4 0
You are looking for

x × ? = 3x^2

and

-4 × ? = 8

The first one is x × 3x = 3x^2

second one is -4 × -2 = 8

So your factored expression is

(x - 2)(3x - 4)
You might be interested in
How do you multiply 12x12 step by step?
geniusboy [140]

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

8 0
3 years ago
Read 2 more answers
Help againnnnnnnnnnnnnnnnnnnnnnnnn
Alexeev081 [22]

Answer:

<h2>10 inches</h2>

Step-by-step explanation:

Hypotenuse = h

h^2 = 8^2 + 6^2

h^2 = 64 + 36

h^2 = 100

h = √100

h = 10

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

4 0
2 years ago
HELP PLS ILL GIVE BRAINLIEST
Vilka [71]

Answer:

2•5s+s

10s+s

11s

the first one

8 0
1 year ago
Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)
Leni [432]
Alrighty

remember some rules
(ab)^c=(a^c)(b^c)
and
x^{-m}=\frac{1}{x^m}
and
x^0=1 for all real values of x
and
(a^b)^c=a^{bc}
and
(\frac{a}{b})^c=\frac{a^c}{b^c}
and
(a/b)/(c/d)=(ad)/(bc)
and
(a^b)(a^c)=a^{b+c}
and
\frac{a^m}{a^n}=a^{m-n}
and don't forget pemdas
example: -x^m=-1(x^m) but (-x)^m=(-1)^m(x^m)

so

4.
(\frac{c^{-2}}{2})^{-2}=

\frac{(c^{-2})^{-2}}{2^{-2}}=

\frac{c^4}{\frac{1}{2^2}}=

\frac{c^4}{\frac{1}{4}}=

4c^4



5.

\frac{(-a)^4bc^5}{-a^2b^{-3}c^0}=

\frac{(-1)^4(a)^4bc^5}{-1(a^2)(\frac{1}{b^3}(1)}=

\frac{(1)a^4bc^5}{\frac{(-1)(a^2)}{b^3}}=

\frac{(a^4bc^5)b^3}{(-1)(a^2)}=

\frac{-a^4b^4c^5}{a^2}=

-a^2b^4c^5
3 0
2 years ago
I think the answer is A <br><br><br> Correct?
xeze [42]

You can see that there are 6 rock CDs, over a total of

6+10+4+8+12 = 40

So, the ratio of rock CDs over the total number of CDs is

\dfrac{6}{40} = 0.15

Which is 15%.

So, yes, the answer is A

4 0
2 years ago
Read 2 more answers
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