Please help out anyone

The equation of the exponential function will be:

Step-by-step explanation:

The general exponential function is defined as

y = abˣ

Here,

a is the initial value and b is the growth factor

From the table, it is clear that the y-intercept is (0, 12). Note that the y-intercept can be determined by setting x=0 and solving for y.

here

at x=0, y=12

so a = 12

If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 2.

In other words, the common multiplier = b = 2

Thus, the equation becomes

y = 12·(2)ˣ

Thus, the equation of the exponential function will be:

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.

step-by-step explanation: