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Ipatiy [6.2K]
3 years ago
5

When factored completely, the expression 3x? – 9x + 6 equivalent to is

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

The given quadratic expression is

3x² - 9x + 6

Dividing each term in the expression by 3 in order to simplify it further, it becomes

x² - 3x + 2 = 0

We would determine two numbers such that their sum or difference is -3x and their product is 2x².

The two numbers are - 2x and - x.

Therefore,

x² - 2x - x + 2

x(x - 2) - 1(x - 2)

(x - 1)(x - 2)

When the expression is factored completely, it is equivalent to

(x - 1)(x - 2)

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Answer:

-8 and 2

Step-by-step explanation:

5 0
3 years ago
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4. The equation of the line on the graph below is a direct variation equation. What is the constant of variation?
choli [55]

\frac{1}{4} → a

the equation is y = mx ( where m is the slope / constant of variation )

calculate m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \frac{1-0}{4-0} = \frac{1}{4}


3 0
3 years ago
Which number line models the expression -3 + 5 ?
damaskus [11]
I think the answer would be B
3 0
3 years ago
What is the twentieth term of the arithmetic sequence 21, 18, 15, 12, ... ?
Vaselesa [24]

Answer:

-36

Step-by-step explanation:

21, 18, 15, 12....

All you have to do is subtract 3 less on each number you get, until u get to the twentieth term....

21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, <u><em>-36</em></u>

<u><em /></u>

-36 is the twentieth term of this arithmetic sequence

Hope this helped!

Have a supercalifragilisticexpialidocious day!

8 0
3 years ago
What is the difference between 2a + 5 and 2(a + 5)? Give an English expression to describe each of
Sergio [31]

Answer:

without brackets, the two is only multiplying the a. with brackets, you distribute the 2, making the equation 2a+10

Step-by-step explanation:

6 0
3 years ago
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