Does the equation y² = x² + 5x + 4 represent a function? a) Yes, the equation is a function because there is only a single term that contains the variable y.

b) No, the equation is not a function because there are multiple terms that contain the variable x.

c) No, the equation is not a function because some values of x result in more than one value of y, such as x=0 resulting in y=2 or y=−2.

d) No, the equation is not a function because some values of y result in more than one value of x, such as y=0 resulting in x=−1 or x=−4.

idn

step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

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.