Complete each statement so it will result in the truth value F. If (A), then the graph of a nonproportional relationship passes through the origin.
The point (B) if and only if the graph of a proportional relationship intercepts the y-axis at (0, 0).

Options for A:
a function has two outputs for one input
a line has a constant rate of change
the slope is the rate of change
the y-intercept is the initial value

Options for B:
(1, 2) is in the first quadrant
(-2, 1) is in the second quadrant
(-4, 3) is in the third quadrant
(4, -3) is in the fourth quadrant

y=1/4x-4

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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.