1. 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 plug in the total seats for f(x): 416 = 2x2 – 6x
jose needs to solve for x to determine the number of rows. he decides to use his calculator. under y =, he types in 2x2 – 6x. he checks the table for when y = 0.
he gets the two solutions:
x = 0, x= 3
jose determines the auditorium has 3 rows.

error:

correct solution:

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 an auditorium

x----> represents the number of rows

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

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

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4