For a given function ƒ(x), the operation ƒ(3x) will A )shrink the graph vertically by a factor of 1∕3.

B) shrink the graph horizontally by a factor of 1∕3.

C) stretch the graph vertically by a factor of 3.

D) stretch the graph horizontally by a factor of 3.

ill do it if you answer this

In a math class with 26 students, a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?

Step-by-step explanation:

$32,660

step-by-step explanation:

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.