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3 years ago

9x² - 12x + 4 pls need ans.

Mathematics

1 answer:

kolezko [41]3 years ago

4 0

Step-by-step explanation:

$\tt{9 {x}^{2} - 12x + 4}$

Here, the second order of polynomial ax² + bx + c is factorized and expressed as the product of two linear factors. First, we have to find the two numbers that adds to 12 and if we multiply those numbers , we get 36 ( The two numbers should be 6 and 6 ).

⟶ $\tt{9 {x}^{2} - (6 + 6)x + 4}$

⟶ $\tt{9 {x}^{2} - 6x - 6x + 4}$ { Distribute x through the parentheses )

⟶ $\tt{ \underbrace{9 {x}^{2} - 6x}} \: - \underbrace{6x + 4}$

⟶ $\tt{3x(3x - 2) - 2(3x - 2)}$

⟶ $\tt{(3x - 2)(3x - 2)}$

⟶ $\tt{ {(3x - 2)}^{2} }$

$\pink{ \boxed{ \boxed{ \tt{ Our \: final \: answer : \boxed{ \underline{ \tt{{(3x - 2)}^{2} }}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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3 years ago

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2 years ago

Convert 3/5 into a fraction with a denominator of 20: 06/20 O 12/20 5/20 3/20

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If you multiply the numerator and the denominator of 3/5 by 4/4:

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————-
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3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

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a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

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The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$