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o-na [289]
3 years ago
14

HELP ASAP: Factor By Grouping: 12a^3 - 9a^2 + 4a - 3

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

We have been given an expression 12a^3 - 9a^2 + 4a - 3. We are asked to factor the given expression by grouping.

First of all, we will make two groups of our expression as:

(12a^3-9a^2)+( 4a - 3)

Now we will factor of greatest common factor from each group.

(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)

3a^2(4a-3)+1( 4a-3)

Now we will factor out common terms (4a-3) as:

(4a-3)( 3a^2+1)

Therefore, the factorized form of our given expression would be (4a-3)( 3a^2+1).

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5+-4*1/3<br><br> Show work pls
polet [3.4K]
To solve this, we need to follow <em>PEMDAS </em>(Order of Operations)

P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Following this order of math will get you your answer for any math problem.

First we'll do -4*1/3, which gets us -4/3. Then we'll add 5 to get 3 \frac{2}{3}

<em>:)</em>
4 0
3 years ago
A rare book was purchased for $200 and then it was sold for $400. What percent increase was that
hram777 [196]

Answer:

100% increase

Step-by-step explanation:

8 0
2 years ago
CAN SOMEONE PLEASE HELP ME PLEASE!!!!!
OverLord2011 [107]

Answer:

x4+7x3-2x2-9x-3 remainder -10

or we could write it as

x4+7x3-2x2-9x-3 - 10/(x+8)

Step-by-step explanation:

x+8 ) x5+15x4+54x3−25x2−75x−34 (x4+7x3-2x2-9x-3  <--- Quotient.

        x5+ 8x4

                7x4+54x3

                7x4+56x3

                         -2x3-25x2

                         -2x3-16x2

                                    -9x2-75x

                                    -9x2-72x

                                               -3x-34

                                               -3x-24

                                                     -10  <--- Remainder.

 

7 0
2 years ago
7. (05.02 MC)
Diano4ka-milaya [45]

Considering the Central Limit Theorem, we have that:

a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.

b) The probability can be calculated, as the sample size is greater than 30.

<h3>What does the Central Limit Theorem state?</h3>

It states that the sampling distribution of sample means of size n is approximately normal has standard deviation s = \frac{\sigma}{\sqrt{n}}, as long as the underlying distribution is normal or the sample size is greater than 30.

In this problem, the underlying distribution is skewed right, that is, not normal, hence:

  • For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
  • For item b, the probability can be calculated, as the sample size is greater than 30.

More can be learned about the Central Limit Theorem at brainly.com/question/16695444

#SPJ1

8 0
2 years ago
Find an equation for the perpendicular bisector of the line segment whose endpoints are
Luba_88 [7]

Answer:

y = 3x + 7

Step-by-step explanation:

3 0
3 years ago
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