John, a Grade 8 student received his grades from all the subjects he had taken, and it is written in a set of ordered pairs. His mother wanted it to be written through diagram or mapping. Can you help him do it? Then,
identify whether the rule between the subjects and respective grades is a function or a mere relation. (Math 8 ADM
Module)
A = {(Eng., 85), (Fil., 89), (Math, 90), (Sci, 87), (Aral Pan., 89), (TLE,88), (MAPEH,85), (EsP,91)}

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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.