The Laskowski's rented a moving truck for $49.95 plus $.30 per mile. Before returning the truck, they filled the tank with gasoline, which cost $18.32. The total cost was $95.87.
Find the number of miles the truck was driven.

The truck was driven 92 miles

Step-by-step explanation:

Equations

The total cost for The Laskowski's truck renting can be modeled as a linear function.

The fixed costs are the initial fees of $49.95 plus the gasoline cost of $18.32. Fixed costs=$49.95 + $18.32 = $68.27

The variable cost is the charge per mile= $0.30.

Let's call x=number of miles the truck was driven.

The total cost is the sum of the fixed and the variable costs:

C(x)=0.30x+68.27

We need to find the number of miles driven if the total cost was $95.87. The equation to solve is:

0.30x+68.27=95.87

Subtracting 68.27:

0.30x = 95.87 - 68.27

0.30x = 27.6

Dividing by 0.30

x = 27.6 / 0.30 = 92

x = 92 miles

The truck was driven 92 miles

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.