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LILYTH8413
10.07.2019 •
Mathematics
Which state ment is not true of athe function? a. the independent variable is x. b. the dependent variable is y c. whent he input is 1 the output is -2 d. when the input is 8 the output is 32
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Ответ:
solution:
the given function is ,
=![4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]](/tex.php?f=4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)])
the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.
if a quadratic equation is of the form ,
sum of the roots = a + b +c= 0+8+10=18=![\frac{-b}{a}](/tex.php?f=\frac{-b}{a})
product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =![\frac{c}{a}](/tex.php?f=\frac{c}{a})
product of roots = a b c = 0=![\frac{d}{a}](/tex.php?f=\frac{d}{a})
there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function
is given by entry and exit route of this hall.