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Kazeer [188]
3 years ago
8

What is the GCF of the terms of 3x⁴-9x²-12x?

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer: The GCF of the terms of 3x^4-9x^2-12x is 3x.

Step-by-step explanation:

We need to find:  GCF(Greatest common factor) of the terms of 3x^4-9x^2-12x.

The greatest common factor(GCF) is the greatest factor that divides two expressions.

Here,

3x^4=3\times x \times x \times x \times x \\9x^2=3\times 3 \times x \times x\\12x=3\times 2 \times 2 \times x

The greatest common factor of 3x^4-9x^2-12x = 3x

Hence, the GCF of the terms of 3x^4-9x^2-12x is 3x.

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Answer:

(-3,4) or x = - 3, y = 4

Step-by-step explanation:

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4 years ago
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a stati
zlopas [31]

Answer:

Counting from the top:

fist option

fourth option

fifth option.

Step-by-step explanation:

Any set that has a multiplicative outcome, such that the total number of outcomes is 24.

Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:

M*N

This is the main thing we need to see.

Let's analyze each option:

1) flip a coin (2 outcomes)

  flip a coin again (2 outcomes)

  roll a 6 sided dice ( 6 outcomes)

total number of outcomes:

2*2*6 = 24

2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).

The total number of outcomes is:

8*16 = 128

We wanted only 24.

3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)

   flip a coin (2 outcomes)

   flip the coin again (2 outcomes)

total number of outcomes:

2*2*5 = 20

We wanted 24, we can discard this.

4) Spin the thing (3 outcomes)

   roll an 8-sided dice (8 outcomes)

Total number of outcomes:

8*3 = 24

This is a correct option.

5) Select a card from A to D (4 outcomes)

Roll the thing (6 outcomes)

total number of outcomes:

6*4 = 24

This is a correct option.

6) Select a card from A to N {14 options}

   Roll the thing once (10 outcomes)

Total number of outcomes:

14*10 = 140

We wanted 24, so we can discard this option.

Then the correct options are:

first one, fourth one, and fifth one.

8 0
3 years ago
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent
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Answer:

The second company is a better deal

Step-by-step explanation:

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What is the first step to graphing this equation by the method of creating a table of values?
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3 years ago
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notka56 [123]

Answer:

slope of n =⅔

Step-by-step explanation:

The product of the slope of two perpendicular lines(m1•m2) must equal -1.

This means that if you have the slope of one line,find it's negative reciprocal to obtain the slope of the other.

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