The total number of seats in an auditorium is modeled by f(x) = 2x2 – 6x, where x represents the number of rows. how many rows are there in the auditorium if it has a total of 416 seats?

jose knows to solve for x to determine the number of rows. he decides to use his calculator. under y =, he types in 2x^2-6x.

he gets the two solutions
x=0,x=3
jose determines the auditorium has 3 rows.

Jose's solution is not correct, the auditorium has rows

Step-by-step explanation:

we have

where

f(x)------> is the total number of seats in the auditorium

x----> represents the number of rows

How many rows are there in the auditorium if it has a total of 416 seats?

so

Find the value of x for f(x)=416 seats

substitute the value of f(x) in the equation

Using a graphing calculator

The values of x are

The solution is

x=16 rows because the number of rows can not be a negative number

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: