Michael works as a tutor for $9 an hour and as a waiter for $8 an hour. this month, he worked a combined total of 105 hours at his two jobs.

let t be the number of hours michael worked as a tutor this month. write an expression for the combined total dollar amount he earned this month.

Hence, an expression for the combined total dollar amount he earned this month is  

Step-by-step explanation:

Since we have given that

Cost per hour Michael works as a tutor  = $9

Cost per hour Michael works as a waiter = $8

Number of hours he worked combined = 105

Let the number of hours Michael worked as a tutor be 't'.

Let the number of hours Michael worked as a waiter be '105-t'.

According to question, we get that

Hence, an expression for the combined total dollar amount he earned this month is  

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.

its an acute right triangle

step-by-step explanation: