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devlian [24]
3 years ago
5

What is 12^3-9x^2-4x+3 in factored form

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

(3x^2 + 1) (4x – 3)

Step-by-step explanation:

 12x³– 9x² + 4x – 3 in factored terms;

First, find the GCF of  12x³– 9x² + 4x – 3

3x²is a common factor in 12x³ and 9x²

we have 3x² (4x – 3) + 4x – 3

 Splitting the expression into 2 groups 3x² (4x – 3) + ( 4x – 3)

4x – 3 is a common factor in both groups

 Factoring 4x – 3, we have

3x² (4x – 3) + (4x – 3)

Therefore, in factored form, the equation becomes (3x² + 1) (4x – 3)

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In China, where many couples were allowed to have only one child, the probability of a baby being a boy was 0.545. Among six ran
wariber [46]

Answer: 0.9738

Step-by-step explanation:

This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by

P(X=r) = nCr * p^r * q^n-r

Where n = number of sample = 6

p = probability of success = 0.545

q = 1-p = 0.455

r = possible outcome from number of sample.

If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]

Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262

Probability that at least one is a girl = 1 - 0.0262 = 0.9738.

6 0
3 years ago
Write an equation of the line that passes through the points (2, -3) and is parallel to the x axis.
podryga [215]

Answer:

y=-3

Step-by-step explanation:

If the line is parallel to the x-axis then it is a horizontal line with slope 0. These lines have form y=b where b is the y-intercept or y value of all points. y=-3 is the line since (2,-3) is on the line.

4 0
3 years ago
Read 2 more answers
Which expression shows the miles you would drive from the grocery store to the office along this road?
Anton [14]
The answer would Be C. Or B

Your  welcome!!!!!!!
8 0
3 years ago
Read 2 more answers
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
3 years ago
Find the surface area of this right circular cylinder. The radius is 3 meters and the length is 6 meters. Answers;; 18? m3 45? m
frozen [14]

2 \times (\pi \times  {3}^{2} ) + 6 \times (2\pi \times 3) \\  = 18\pi + 36\pi \\  = 54\pi \: ( {m}^{2} )
that is (2 of area of circle + area of square)
8 0
3 years ago
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