Javier is considering two lawn care services. Premier Landscaping charges $15.00 for travel to the job site and $55.00 per hour for maintaining his lawn. Ace Landscaping does not have a travel fee, but charges $65.00 per hour for lawn maintenance. At what amount of time do the two lawn companies cost the same?

Time in which both companies charge same cost = 1.5 hour

Step-by-step explanation:

Given:

                                                        Fixed    Variable

Premier Landscaping charges          $15        $55

Ace Landscaping charges                               $65

Find:

Time in which both companies charge same cost:

Computation:

Assume in X time both companies charge same cost:

So,

Premier Landscaping total cost = Ace Landscaping total cost

⇒ $15 + $55(Time taken) = $65 (Time taken)

⇒ $15 = $65 (Time taken) - $55(Time taken)

⇒ $15 = $10 (Time taken)

⇒ Time taken = 1.5 hour

Time in which both companies charge same cost = 1.5 hour

d is the answer

step-by-step explanation:

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.