The value of y varies directly with x and inversely with the square of z. When the value of x = 24, and y = 6, z =
8. Find the value of x when y = 20 and 2 = 6.
O x = 45
Ox=
= 10.5
O x
X = 360
OX= 7.5

x = 45 when y = 20 and z = 6

Step-by-step explanation:

The general formula here is y = kx/z²

If x = 24 and y = 6, z = 8, so:

y = kx/z² becomes 6 = k(24)/8², and:

             6                   1

k = = = 16

         24/64            4/64

Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:

20 = 16x/36, or 16x = 720, or x = 45

x = 45 when y = 20 and z = 6

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

solution:

the given function is ,

      =

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=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

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.