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Dvinal [7]
3 years ago
8

If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4
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14 or 11

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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

 put x =-1

               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

6 0
2 years ago
Can a triangle have sides with the given​ lengths? Explain.
Nookie1986 [14]
No because when you add any 2 sides the answer has to be bigger than the 3rd side

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3 years ago
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