Thomas wants to rent a lawn mower. he has to pay a fixed base cost plus a daily rate for renting the lawn mower. the table shows the amount of money, y, in dollars, that thomas has to pay for renting the lawn mower for x days: lawn mower rental number of days (x) rent (dollars) (y) 0 12 1 21 2 30 3 39 4 48 which equation best shows the relationship between x and y? y = x + 21 y = 9x + 21 y = 9x + 12 y = x + 12

The correct option is 3.

Step-by-step explanation:

The table of values is

Number of days (x)   Rent (dollars) (y)

               0                         12

               1                          21

               2                         30

               3                         39

               4                         48

It is given that Thomas wants to rent a lawn mower. he has to pay a fixed base cost plus a daily rate for renting the lawn mower.  It means the relationship between x and y is linear.

The slope intercept form of a line is

             .... (1)

where, m is slope and b is y-intercept.

Slope formula:

The line passes through (0,12) and (1,21). The slope of the line is

The slope of the line is 9. From the given table it is clear that the y-intercept or initial value of the function is 12.

Substitute m=9 and b=12 in equation (1).

The required equation is y = 9x + 12. Therefore the correct option is 3.

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.

a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

step-by-step explanation: