8. terry drove 366 miles in 6 hours at a
constant speed. how long would it
take him to drive 427 miles at the
same speed?
a 3 hours
c 7 hours
b 6.5 hours d 61 hours
uur is the same as

Answers

solution:

the given function is ,

f(x) = 4 x^3 - 72 x^2 + 320 x,

      = 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 ,

f(x) = a x^3+ b x^2 + c x+d,

sum of the roots = a + b +c= 0+8+10=18=   \frac{-b}{a}

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =   \frac{c}{a}

product of roots = a b c = 0=   \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 f(x) = 4 x^3 - 72 x^2 + 320 x, is given by entry and exit route of this hall.

C 7 hours

Step-by-step explanation:

366 divided by 6 is 61 mph, distance=rate(time), so divided 427 by 61 and get the answer of 7 hours.

C (7 hours)

Step-by-step explanation:

366 divided by 6 = 61

(This proves they are going 61 mph)

427 divided by 7 = 61



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