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sdas [7]
3 years ago
12

Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

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Answer:

100⁰

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=> x + 80 = 180

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Alex_Xolod [135]
One example is 4 x 2

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Factor the polynomial completely. Use synthetic division. <br><br> F(x) = x^3-7x-6
aleksklad [387]

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the polynomial  

                    f(x) =  x³ - 7x -6

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               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             <u>↓   0     -1      1          6</u>

            <u>       1       -1      -6       0     </u>

<u />

<em>The polynomial    x² - x - 6 </em>

<u><em>Step(ii):-</em></u>

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

<u><em>Final answer:-</em></u>

The factors of given polynomial    x =-1 , -2 and x =3

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Answer:

Solution in photo

Step-by-step explanation:

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