F (x)= 5x-14 G (x)= 12x+8 H (x)= 62x-54 Dadas las funciones resolver las siguientes operaciones a. F (x)+ G (x) b. G (x)- (H (x)-F (x)) c. (G (x)-F (x)) (H (x)+G (x) d. (F (x)-H (x))/ (G (x)+ F(x) e. G (x) / H (x9

Answers

Answer 1

Answer:

Answer:

a) $17\cdot x -6$ , b) $-45\cdot x +48$ , c) $518\cdot x^(2) +1306\cdot x -1012$ , d) $(-57\cdot x +40)/(17\cdot x -6)$ , e) $2\cdot \left((3\cdot x + 2)/(31\cdot x - 27) \right)$

Step-by-step explanation:

Sean $f(x) = 5\cdot x -14$ , $g(x) = 12\cdot x + 8$ y $h(x) = 62\cdot x - 54$ . A continuación, desarrollamos las siguientes operaciones:

a) $f(x) + g(x)$

$(5\cdot x - 14) + (12\cdot x + 8)$

$17\cdot x -6$

b) $g(x) - [h(x)-f(x)]$

$(12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)]$

$12\cdot x + 8 - (57\cdot x -40)$

$12\cdot x +8 -57\cdot x +40$

$-45\cdot x +48$

c) $[g(x)-f(x)]\cdot [h(x)+g(x)]$

$[(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)]$

$(12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)$

$(7\cdot x +22)\cdot (74\cdot x-46)$

$7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)$

$(7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)$

$518\cdot x^(2)-322\cdot x +1628\cdot x -1012$

$518\cdot x^(2) +1306\cdot x -1012$

d) $(f(x)-h(x))/(g(x) + f(x) )$

$((5\cdot x - 14)-(62\cdot x - 54))/((12\cdot x +8)+(5\cdot x -14))$

$(-57\cdot x +40)/(17\cdot x -6)$

e) $(g(x))/(h(x))$

$(12\cdot x + 8)/(62\cdot x - 54)$

$(4\cdot (3\cdot x +2))/(2\cdot (31\cdot x -27))$

$2\cdot \left((3\cdot x + 2)/(31\cdot x - 27) \right)$

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Answers

Answer:Explanation:

Step-by-step explanation:Explanation:

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Answer:

Step-by-step explanation:

6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²

use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a

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x= (-19 ±√19²-4*6*15) / 2*6

x= (-19 ± √1)/ 12

x= (-19+ 1)/12 = -18/12 = -3/2

and

x= (-19-1)/12 = -20/12 = -5/3

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