Abby rented a car to travel for the weekend. she paid a flat rate of $24.95 plus $0.32 per mile. for how many miles did abby drive the car if she paid $76.82 for the car rental?

Abby has driven approximately 162 miles.

Step-by-step explanation:

Given,

Total paid amount = $76.82

Fixed charge = $24.95

Charge of each mile = $0.32

Solution,

Let the number of miles Abby drive the car be'x'.

So, the total amount paid by Abby is the sum of fixed charge and number of miles driven multiplied with charge of each mile.

So framing the above sentence in equation form, we get;

Total paid amount = Fixed charge + Number of miles × Charge of each mile

On substituting the given values, we get;

By using the subtraction property, we will subtract '24.95' on both side and get;

By using the division property, we will divide by '0.32' on both side and get;

Hence Abby has driven approximately 162 miles.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.