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3 years ago

Factor 9y 2 - 12y + 4.

Mathematics

2 answers:

Maslowich3 years ago

8 0

Answer:

Factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .

Step-by-step explanation:

As the expression is given in the question be .

= 9y² - 12y + 4

Simplify the above

= 9y² -6y -6y + 4

= 3y (3y -2) -2 (3y - 2)

= (3y-2)(3y-2)

Therefore factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .

satela [25.4K]3 years ago

7 0

The question is $9y^{2}$ -12y +4, right?

The answer is (3y-2)(3y-2) or $(3y-2)^{2}$

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3x - 2y = -18 use the table of vaules to graph the line

docker41 [41]

Answer:

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If y-3x=9, 7x+y=25, what is the value of x and y?

lianna [129]

$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

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$\text{we got the value of y now getting the value of x}$

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$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

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$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

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elixir [45]

Answer in fraction form: -17/4 < x < 11/4

Answer in decimal form: -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 < 14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

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-17/4 < x < 11/4 .... divide all sides by 4

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This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

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