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Korolek [52]
3 years ago
13

Hiiiiii peoples Solve the inequality 6x^2-x<2 please show all steps

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

:

Equation at the end of step 1

 ((2•3x2) -  x) -  2

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  6x2-x-2  

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   6 • -2 = -12  

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -1 .

     -12    +    1    =    -11  

     -6    +    2    =    -4  

     -4    +    3    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  3  

                    6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (3x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

                   (2x+1)  •  (3x-2)

            Which is the desired factorization

Final result :

 (3x - 2) • (2x + 1)

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Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

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Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4)           Remove the brackets.

48t = 36t + 144          Subtract 36t from both sides.

48t - 36t = 144           Combine

12t = 144                     Divide by 12

t = 144/12

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d = 48 * t

d = 48 * 12

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Step-by-step explanation:

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